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Solution
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Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
 

A parallel-plate capacitor of capacitance $40 \mu \mathrm{~F}$ is connected to a 100 V power supply. Now the intermediate space between the plates is filled with a dielectric material of dielectric constant $\mathrm{K}=2$. Due to the introduction of dielectric material, the extra charge and the change in the electrostatic energy in the capacitor, respectively, are



JEE Main 2025 (Online) 22nd January Morning Shift
 

A parallel-plate capacitor of capacitance $40 \mu \mathrm{~F}$ is connected to a 100 V power supply. Now the intermediate space between the plates is filled with a dielectric material of dielectric constant $\mathrm{K}=2$. Due to the introduction of dielectric material, the extra charge and the change in the electrostatic energy in the capacitor, respectively, are



JEE Main 2025 (Online) 22nd January Morning Shift
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt

An electron is made to enter symmetrically between two parallel and equally but oppositely charged metal plates, each of 10 cm length. The electron emerges out of the electric field region with a horizontal component of velocity $10^6 \mathrm{~m} / \mathrm{s}$. If the magnitude of the electric field between the plates is $9.1 \mathrm{~V} / \mathrm{cm}$, then the vertical component of velocity of electron is(mass of electron $=9.1 \times 10^{-31} \mathrm{~kg}$ and charge of electron $=1.6 \times 10^{-19} \mathrm{C}$ )



JEE Main 2025 (Online) 22nd January Morning Shift

An electron is made to enter symmetrically between two parallel and equally but oppositely charged metal plates, each of 10 cm length. The electron emerges out of the electric field region with a horizontal component of velocity $10^6 \mathrm{~m} / \mathrm{s}$. If the magnitude of the electric field between the plates is $9.1 \mathrm{~V} / \mathrm{cm}$, then the vertical component of velocity of electron is(mass of electron $=9.1 \times 10^{-31} \mathrm{~kg}$ and charge of electron $=1.6 \times 10^{-19} \mathrm{C}$ )



JEE Main 2025 (Online) 22nd January Morning Shift
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt

Which one of the following is the correct dimensional formula for the capacitance in F ? $\mathrm{M}, \mathrm{L}, \mathrm{T}$ and $C$ stand for unit of mass, length, time and charge,



JEE Main 2025 (Online) 22nd January Evening Shift

Which one of the following is the correct dimensional formula for the capacitance in F ? $\mathrm{M}, \mathrm{L}, \mathrm{T}$ and $C$ stand for unit of mass, length, time and charge,



JEE Main 2025 (Online) 22nd January Evening Shift
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt

Identify the valid statements relevant to the given circuit at the instant when the key is closed.

JEE Main 2025 (Online) 23rd January Morning Shift Physics - Capacitor Question 10 English

A. There will be no current through resistor $R$.

B. There will be maximum current in the connecting wires.

C. Potential difference between the capacitor plates A and B is minimum.

D. Charge on the capacitor plates is minimum.

Choose the correct answer from the options given below:



JEE Main 2025 (Online) 23rd January Morning Shift

Identify the valid statements relevant to the given circuit at the instant when the key is closed.

JEE Main 2025 (Online) 23rd January Morning Shift Physics - Capacitor Question 10 English

A. There will be no current through resistor $R$.

B. There will be maximum current in the connecting wires.

C. Potential difference between the capacitor plates A and B is minimum.

D. Charge on the capacitor plates is minimum.

Choose the correct answer from the options given below:



JEE Main 2025 (Online) 23rd January Morning Shift
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt

A parallel plate capacitor was made with two rectangular plates, each with a length of $l=3 \mathrm{~cm}$ and breath of $\mathrm{b}=1 \mathrm{~cm}$. The distance between the plates is $3 \mu \mathrm{~m}$. Out of the following, which are the ways to increase the capacitance by a factor of 10 ?

A. $l=30 \mathrm{~cm}, \mathrm{~b}=1 \mathrm{~cm}, \mathrm{~d}=1 \mu \mathrm{~m}$

B. $l=3 \mathrm{~cm}, \mathrm{~b}=1 \mathrm{~cm}, \mathrm{~d}=30 \mu \mathrm{~m}$

C. $l=6 \mathrm{~cm}, \mathrm{~b}=5 \mathrm{~cm}, \mathrm{~d}=3 \mu \mathrm{~m}$

D. $l=1 \mathrm{~cm}, \mathrm{~b}=1 \mathrm{~cm}, \mathrm{~d}=10 \mu \mathrm{~m}$

E. $l=5 \mathrm{~cm}, \mathrm{~b}=2 \mathrm{~cm}, \mathrm{~d}=1 \mu \mathrm{~m}$

Choose the correct answer from the options given below:



JEE Main 2025 (Online) 24th January Morning Shift

A parallel plate capacitor was made with two rectangular plates, each with a length of $l=3 \mathrm{~cm}$ and breath of $\mathrm{b}=1 \mathrm{~cm}$. The distance between the plates is $3 \mu \mathrm{~m}$. Out of the following, which are the ways to increase the capacitance by a factor of 10 ?

A. $l=30 \mathrm{~cm}, \mathrm{~b}=1 \mathrm{~cm}, \mathrm{~d}=1 \mu \mathrm{~m}$

B. $l=3 \mathrm{~cm}, \mathrm{~b}=1 \mathrm{~cm}, \mathrm{~d}=30 \mu \mathrm{~m}$

C. $l=6 \mathrm{~cm}, \mathrm{~b}=5 \mathrm{~cm}, \mathrm{~d}=3 \mu \mathrm{~m}$

D. $l=1 \mathrm{~cm}, \mathrm{~b}=1 \mathrm{~cm}, \mathrm{~d}=10 \mu \mathrm{~m}$

E. $l=5 \mathrm{~cm}, \mathrm{~b}=2 \mathrm{~cm}, \mathrm{~d}=1 \mu \mathrm{~m}$

Choose the correct answer from the options given below:



JEE Main 2025 (Online) 24th January Morning Shift
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt

Two capacitors $\mathrm{C}_1$ and $\mathrm{C}_2$ are connected in parallel to a battery. Charge-time graph is shown below for the two capacitors. The energy stored with them are $\mathrm{U}_1$ and $\mathrm{U}_2$, respectively. Which of the given statements is true?

JEE Main 2025 (Online) 28th January Morning Shift Physics - Capacitor Question 7 English



JEE Main 2025 (Online) 28th January Morning Shift

Two capacitors $\mathrm{C}_1$ and $\mathrm{C}_2$ are connected in parallel to a battery. Charge-time graph is shown below for the two capacitors. The energy stored with them are $\mathrm{U}_1$ and $\mathrm{U}_2$, respectively. Which of the given statements is true?

JEE Main 2025 (Online) 28th January Morning Shift Physics - Capacitor Question 7 English



JEE Main 2025 (Online) 28th January Morning Shift
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt

A parallel plate capacitor of capacitance 1 µF is charged to a potential difference of 20 V. The distance between plates is 1 µm. The energy density between plates of capacitor is :



JEE Main 2025 (Online) 28th January Evening Shift

A parallel plate capacitor of capacitance 1 µF is charged to a potential difference of 20 V. The distance between plates is 1 µm. The energy density between plates of capacitor is :



JEE Main 2025 (Online) 28th January Evening Shift
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt

A capacitor, $C_1 = 6 \mu F$ is charged to a potential difference of $V_0 = 5V$ using a 5V battery. The battery is removed and another capacitor, $C_2 = 12 \mu F$ is inserted in place of the battery. When the switch 'S' is closed, the charge flows between the capacitors for some time until equilibrium condition is reached. What are the charges ($q_1$ and $q_2$) on the capacitors $C_1$ and $C_2$ when equilibrium condition is reached.

JEE Main 2025 (Online) 29th January Evening Shift Physics - Capacitor Question 16 English

JEE Main 2025 (Online) 29th January Evening Shift

A capacitor, $C_1 = 6 \mu F$ is charged to a potential difference of $V_0 = 5V$ using a 5V battery. The battery is removed and another capacitor, $C_2 = 12 \mu F$ is inserted in place of the battery. When the switch 'S' is closed, the charge flows between the capacitors for some time until equilibrium condition is reached. What are the charges ($q_1$ and $q_2$) on the capacitors $C_1$ and $C_2$ when equilibrium condition is reached.

JEE Main 2025 (Online) 29th January Evening Shift Physics - Capacitor Question 16 English

JEE Main 2025 (Online) 29th January Evening Shift
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt

A parallel plate capacitor is filled equally(half) with two dielectrics of dielectric constants $\varepsilon_1$ and $\varepsilon_2$, as shown in figures. The distance between the plates is $d$ and area of each plate is $A$. If capacitance in first configuration and second configuration are $\mathrm{C}_1$ and $\mathrm{C}_2$ respectively, then $\frac{C_1}{C_2}$ is:

First Configuration

JEE Main 2025 (Online) 3rd April Morning Shift Physics - Capacitor Question 4 English 1

Second Configuration

JEE Main 2025 (Online) 3rd April Morning Shift Physics - Capacitor Question 4 English 2



JEE Main 2025 (Online) 3rd April Morning Shift

A parallel plate capacitor is filled equally(half) with two dielectrics of dielectric constants $\varepsilon_1$ and $\varepsilon_2$, as shown in figures. The distance between the plates is $d$ and area of each plate is $A$. If capacitance in first configuration and second configuration are $\mathrm{C}_1$ and $\mathrm{C}_2$ respectively, then $\frac{C_1}{C_2}$ is:

First Configuration

JEE Main 2025 (Online) 3rd April Morning Shift Physics - Capacitor Question 4 English 1

Second Configuration

JEE Main 2025 (Online) 3rd April Morning Shift Physics - Capacitor Question 4 English 2



JEE Main 2025 (Online) 3rd April Morning Shift
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
Using a battery, a 100 pF capacitor is charged to 60 V and then the battery is removed. After that, a second uncharged capacitor is connected to the first capacitor in parallel. If the final voltage across the second capacitor is 20 V , its capacitance is: (in pF )

JEE Main 2025 (Online) 3rd April Evening Shift
Using a battery, a 100 pF capacitor is charged to 60 V and then the battery is removed. After that, a second uncharged capacitor is connected to the first capacitor in parallel. If the final voltage across the second capacitor is 20 V , its capacitance is: (in pF )

JEE Main 2025 (Online) 3rd April Evening Shift
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt

Three parallel plate capacitors $C_1, C_2$ and $C_3$ each of capacitance $5 \mu \mathrm{~F}$ are connected as shown in figure. The effective capacitance between points $A$ and $B$, when the space between the parallel plates of $C_1$ capacitor is filled with a dielectric medium having dielectric constant of 4, is :

JEE Main 2025 (Online) 4th April Evening Shift Physics - Capacitor Question 3 English



JEE Main 2025 (Online) 4th April Evening Shift

Three parallel plate capacitors $C_1, C_2$ and $C_3$ each of capacitance $5 \mu \mathrm{~F}$ are connected as shown in figure. The effective capacitance between points $A$ and $B$, when the space between the parallel plates of $C_1$ capacitor is filled with a dielectric medium having dielectric constant of 4, is :

JEE Main 2025 (Online) 4th April Evening Shift Physics - Capacitor Question 3 English



JEE Main 2025 (Online) 4th April Evening Shift
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt

At steady state the charge on the capacitor, as shown in the circuit below, is _________ $\mu$C.

JEE Main 2025 (Online) 23rd January Evening Shift Physics - Capacitor Question 9 English



JEE Main 2025 (Online) 23rd January Evening Shift

At steady state the charge on the capacitor, as shown in the circuit below, is _________ $\mu$C.

JEE Main 2025 (Online) 23rd January Evening Shift Physics - Capacitor Question 9 English



JEE Main 2025 (Online) 23rd January Evening Shift
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt

A parallel plate capacitor consisting of two circular plates of radius 10 cm is being charged by a constant current of 0.15 A . If the rate of change of potential difference between the plates is $7 \times 10^8 \mathrm{~V} / \mathrm{s}$ then the integer value of the distance between the parallel plates is

$\left(\right.$ Take, $\left.\epsilon_0=9 \times 10^{-12} \frac{\mathrm{~F}}{\mathrm{~m}}, \pi=\frac{22}{7}\right)$ ____________ $\mu \mathrm{m}$.



JEE Main 2025 (Online) 29th January Evening Shift

A parallel plate capacitor consisting of two circular plates of radius 10 cm is being charged by a constant current of 0.15 A . If the rate of change of potential difference between the plates is $7 \times 10^8 \mathrm{~V} / \mathrm{s}$ then the integer value of the distance between the parallel plates is

$\left(\right.$ Take, $\left.\epsilon_0=9 \times 10^{-12} \frac{\mathrm{~F}}{\mathrm{~m}}, \pi=\frac{22}{7}\right)$ ____________ $\mu \mathrm{m}$.



JEE Main 2025 (Online) 29th January Evening Shift
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt

Four capacitors each of capacitance $16 \mu F$ are connected as shown in the figure. The capacitance between points $A$ and $B$ is : _________ (in $\mu F$).

JEE Main 2025 (Online) 4th April Morning Shift Physics - Capacitor Question 2 English



JEE Main 2025 (Online) 4th April Morning Shift

Four capacitors each of capacitance $16 \mu F$ are connected as shown in the figure. The capacitance between points $A$ and $B$ is : _________ (in $\mu F$).

JEE Main 2025 (Online) 4th April Morning Shift Physics - Capacitor Question 2 English



JEE Main 2025 (Online) 4th April Morning Shift
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
A parallel plate capacitor has charge $5 \times 10^{-6} \mathrm{C}$. A dielectric slab is inserted between the plates and almost fills the space between the plates. If the induced charge on one face of the slab is $4 \times 10^{-6} \mathrm{C}$ then the dielectric constant of the slab is _______________.

JEE Main 2025 (Online) 7th April Evening Shift
A parallel plate capacitor has charge $5 \times 10^{-6} \mathrm{C}$. A dielectric slab is inserted between the plates and almost fills the space between the plates. If the induced charge on one face of the slab is $4 \times 10^{-6} \mathrm{C}$ then the dielectric constant of the slab is _______________.

JEE Main 2025 (Online) 7th April Evening Shift
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt

JEE Main 2025 (Online) 8th April Evening Shift Physics - Capacitor Question 6 English

Space between the plates of a parallel plate capacitor of plate area 4 cm2 and separation of 1.77 mm, is filled with uniform dielectric materials with dielectric constants (3 and 5) as shown in figure. Another capacitor of capacitance 7.5 pF is connected in parallel with it. The effective capacitance of this combination is _ pF.

(Given $ \epsilon_0 = 8.85 \times 10^{-12} $ F/m)



JEE Main 2025 (Online) 8th April Evening Shift

JEE Main 2025 (Online) 8th April Evening Shift Physics - Capacitor Question 6 English

Space between the plates of a parallel plate capacitor of plate area 4 cm2 and separation of 1.77 mm, is filled with uniform dielectric materials with dielectric constants (3 and 5) as shown in figure. Another capacitor of capacitance 7.5 pF is connected in parallel with it. The effective capacitance of this combination is _ pF.

(Given $ \epsilon_0 = 8.85 \times 10^{-12} $ F/m)



JEE Main 2025 (Online) 8th April Evening Shift
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt

The charge accumulated on the capacitor connected in the following circuit is ____ µC (Given C = 150µF)

[27-Jan-2024 Shift 1]

The charge accumulated on the capacitor connected in the following circuit is ____ µC (Given C = 150µF)

[27-Jan-2024 Shift 1]
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt

A capacitor of capacitance 100µF is charged to a potential of 12V and connected to a 6.4mH inductor to produce oscillations. The maximum current in the circuit would be :

[29-Jan-2024 Shift 1]

A capacitor of capacitance 100µF is charged to a potential of 12V and connected to a 6.4mH inductor to produce oscillations. The maximum current in the circuit would be :

[29-Jan-2024 Shift 1]
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt

A 16Ω wire is bend to form a square loop. A 9V battery with internal resistance 1Ω is connected across one of its sides. If a 4µF capacitor is connected across one of its diagonals, the energy stored by the capacitor will be  where x =____

[29-Jan-2024 Shift 1]

A 16Ω wire is bend to form a square loop. A 9V battery with internal resistance 1Ω is connected across one of its sides. If a 4µF capacitor is connected across one of its diagonals, the energy stored by the capacitor will be  where x =____

[29-Jan-2024 Shift 1]
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt

A capacitor of capacitance C and potential V has energy E. It is connected to another capacitor of capacitance 2C and potential 2V. Then the loss of energy is  where x is____

[30-Jan-2024 Shift 1]

A capacitor of capacitance C and potential V has energy E. It is connected to another capacitor of capacitance 2C and potential 2V. Then the loss of energy is  where x is____

[30-Jan-2024 Shift 1]
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt

A parallel plate capacitor with plate separation 5 mm is charged up by a battery. It is found that on introducing a dielectric sheet of thickness 2mm, while keeping the battery connections intact, the capacitor draws 25% more charge from the battery than before. The dielectric constant of the sheet is____

[31-Jan-2024 Shift 1]

A parallel plate capacitor with plate separation 5 mm is charged up by a battery. It is found that on introducing a dielectric sheet of thickness 2mm, while keeping the battery connections intact, the capacitor draws 25% more charge from the battery than before. The dielectric constant of the sheet is____

[31-Jan-2024 Shift 1]
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt

Two identical capacitors have same capacitance C. One of them is charged to the potential V and other to the potential 2V. The negative ends of both are connected together. When the positive ends are also joined together, the decrease in energy of the combined system is :

[1-Feb-2024 Shift 1]

Two identical capacitors have same capacitance C. One of them is charged to the potential V and other to the potential 2V. The negative ends of both are connected together. When the positive ends are also joined together, the decrease in energy of the combined system is :

[1-Feb-2024 Shift 1]
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt

A galvanometer (G) of 2Ω2 resistance 1 s connected in the given circuit. The ratio of charge stored in C1 and C2 is :

[1-Feb-2024 Shift 2]

A galvanometer (G) of 2Ω2 resistance 1 s connected in the given circuit. The ratio of charge stored in C1 and C2 is :

[1-Feb-2024 Shift 2]
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt

In an electrical circuit drawn below the amount of charge stored in the capacitor is µC.

[1-Feb-2024 Shift 2]

In an electrical circuit drawn below the amount of charge stored in the capacitor is µC.

[1-Feb-2024 Shift 2]
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
A parallel plate capacitor with air between the plate has a capacitance of 15‌pF. The separation between the plate becomes twice and the space between them is filled with a medium of dielectric constant 3.5. Then the capacitance becomes ‌
x
4
‌pF.
The value of x is
[24-Jan-2023 Shift 2]
A parallel plate capacitor with air between the plate has a capacitance of 15‌pF. The separation between the plate becomes twice and the space between them is filled with a medium of dielectric constant 3.5. Then the capacitance becomes ‌
x
4
‌pF.
The value of x is
[24-Jan-2023 Shift 2]
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
A parallel plate capacitor has plate area 40cm2 and plates separation 2‌mm. The space between the plates is filled with a dielectric medium of a thickness 1‌mm and dielectric constant 5 . The capacitance of the system is :
[25-Jan-2023 Shift 1]
A parallel plate capacitor has plate area 40cm2 and plates separation 2‌mm. The space between the plates is filled with a dielectric medium of a thickness 1‌mm and dielectric constant 5 . The capacitance of the system is :
[25-Jan-2023 Shift 1]
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
A capacitor has capacitance 5µF when it's parallel plates are separated by air medium of thickness d. A slab of material of dielectric constant 1.5 having area equal to that of plates but thickness ‌
d
2
 is inserted between the plates. Capacitance of the capacitor in the presence of slab will be _______ µF.
[25-Jan-2023 Shift 2]
A capacitor has capacitance 5µF when it's parallel plates are separated by air medium of thickness d. A slab of material of dielectric constant 1.5 having area equal to that of plates but thickness ‌
d
2
 is inserted between the plates. Capacitance of the capacitor in the presence of slab will be _______ µF.
[25-Jan-2023 Shift 2]
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
A capacitor of capacitance 900µF is charged by a 100V battery. The capacitor is disconnected from the battery and connected to another uncharged identical capacitor such that one plate of uncharged capacitor connected to positive plate and another plate of uncharged capacitor connected to negative plate of the charged capacitor. The loss of energy in this process is measured as x×10−2J. The value of x is ______.
[30-Jan-2023 Shift 1]
A capacitor of capacitance 900µF is charged by a 100V battery. The capacitor is disconnected from the battery and connected to another uncharged identical capacitor such that one plate of uncharged capacitor connected to positive plate and another plate of uncharged capacitor connected to negative plate of the charged capacitor. The loss of energy in this process is measured as x×10−2J. The value of x is ______.
[30-Jan-2023 Shift 1]
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
Two parallel plate capacitors C1 and C2 each having capacitance of 10µF are individually charged by a 100V D.C. source. Capacitor C1 is kept connected to the source and a dielectric slab is inserted between it plates. Capacitor C2 is disconnected from the source and then a dielectric slab is inserted in it. Afterwards the capacitor C1 is also disconnected from the source and the two capacitors are finally connected in parallel combination. The common potential of the combination will be _______ V. (Assuming Dielectric constant =10 )
[31-Jan-2023 Shift 2]
Two parallel plate capacitors C1 and C2 each having capacitance of 10µF are individually charged by a 100V D.C. source. Capacitor C1 is kept connected to the source and a dielectric slab is inserted between it plates. Capacitor C2 is disconnected from the source and then a dielectric slab is inserted in it. Afterwards the capacitor C1 is also disconnected from the source and the two capacitors are finally connected in parallel combination. The common potential of the combination will be _______ V. (Assuming Dielectric constant =10 )
[31-Jan-2023 Shift 2]
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
If two charges q1 and q2 are separated with distance ' d ' and placed in a medium of dielectric constant K. What will be the equivalent distance between charges in air for the same electrostatic force ?
[24-Jan-2023 Shift 1]
If two charges q1 and q2 are separated with distance ' d ' and placed in a medium of dielectric constant K. What will be the equivalent distance between charges in air for the same electrostatic force ?
[24-Jan-2023 Shift 1]
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
A stream of a positively charged particles having ‌
q
m
=2×1011‌
C
kg
 and velocity
→
v
0=3×107
∧
i
m∕ s is deflected by an electric field 1.8
∧
j
‌kV∕m. The electric field exists in a region of 10‌cm along x direction. Due to the electric field, the deflection of the charge particles in the y direction is ____mm.
[24-Jan-2023 Shift 1]
A stream of a positively charged particles having ‌
q
m
=2×1011‌
C
kg
 and velocity
→
v
0=3×107
∧
i
m∕ s is deflected by an electric field 1.8
∧
j
‌kV∕m. The electric field exists in a region of 10‌cm along x direction. Due to the electric field, the deflection of the charge particles in the y direction is ____mm.
[24-Jan-2023 Shift 1]
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
The electric potential at the centre of two concentric half rings of radii R1 and R2, having same linear charge density λ is

[24-Jan-2023 Shift 2]
The electric potential at the centre of two concentric half rings of radii R1 and R2, having same linear charge density λ is

[24-Jan-2023 Shift 2]
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
A uniform electric field of 10N∕C is created between two parallel charged plates (as shown in figure). An electron enters the field symmetrically between the plates with a kinetic energy 0.5‌eV. The length of each plate is 10‌cm. The angle (θ) of deviation of the path of electron as it comes out of the field is ______ (in degree).

[25-Jan-2023 Shift 1]
A uniform electric field of 10N∕C is created between two parallel charged plates (as shown in figure). An electron enters the field symmetrically between the plates with a kinetic energy 0.5‌eV. The length of each plate is 10‌cm. The angle (θ) of deviation of the path of electron as it comes out of the field is ______ (in degree).

[25-Jan-2023 Shift 1]
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
A point charge of 10µC is placed at the origin. At what location on the X-axis should a point charge of 40µC be placed so that the net electric field is zero at x=2‌cm on the X-axis ?
[25-Jan-2023 Shift 2]
A point charge of 10µC is placed at the origin. At what location on the X-axis should a point charge of 40µC be placed so that the net electric field is zero at x=2‌cm on the X-axis ?
[25-Jan-2023 Shift 2]
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
Match List I with List II :

Choose the correct answer from the options given below :
[25-Jan-2023 Shift 2]
Match List I with List II :

Choose the correct answer from the options given below :
[25-Jan-2023 Shift 2]
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
In a cuboid of dimension 2L×2L×L, a charge q is placed at the centre of the surface ' S ' having area of 4L2. The flux through the opposite surface to ' S ' is given by
[29-Jan-2023 Shift 1]
In a cuboid of dimension 2L×2L×L, a charge q is placed at the centre of the surface ' S ' having area of 4L2. The flux through the opposite surface to ' S ' is given by
[29-Jan-2023 Shift 1]
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
Ratio of thermal energy released in two resistor R and 3R connected in parallel in an electric circuit is :
[29-Jan-2023 Shift 1]
Ratio of thermal energy released in two resistor R and 3R connected in parallel in an electric circuit is :
[29-Jan-2023 Shift 1]
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
A point charge q1=4q0 is placed at origin. Another point charge q2=−q0 is placed at x=12‌cm. Charge of proton is q0. The proton is placed on x-axis so that the electrostatic force on the proton in zero. In this situation,the position of the proton from the origin is _______ cm.
[29-Jan-2023 Shift 1]
A point charge q1=4q0 is placed at origin. Another point charge q2=−q0 is placed at x=12‌cm. Charge of proton is q0. The proton is placed on x-axis so that the electrostatic force on the proton in zero. In this situation,the position of the proton from the origin is _______ cm.
[29-Jan-2023 Shift 1]
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
A point charge 2×10−2C is moved from P to S in a uniform electric field of 30NC−1 directed along positive x-axis. If coordinates of P and S are (1,2, 0)‌m and (0,0,0)m respectively, the work done by electric field will be
[29-Jan-2023 Shift 2]
A point charge 2×10−2C is moved from P to S in a uniform electric field of 30NC−1 directed along positive x-axis. If coordinates of P and S are (1,2, 0)‌m and (0,0,0)m respectively, the work done by electric field will be
[29-Jan-2023 Shift 2]
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
For a charged spherical ball, electrostatic potential inside the ball varies with r as V=2ar2+b.
Here, a and b are constant and r is the distance from the center. The volume charge density inside the ball is −λaε. The value of λ is _______.
ε= permittivity of medium.
λ=12
[29-Jan-2023 Shift 2]
For a charged spherical ball, electrostatic potential inside the ball varies with r as V=2ar2+b.
Here, a and b are constant and r is the distance from the center. The volume charge density inside the ball is −λaε. The value of λ is _______.
ε= permittivity of medium.
λ=12
[29-Jan-2023 Shift 2]
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
Two isolated metallic solid spheres of radii R and 2R are charged such that both have same charge density σ. The spheres are then connected by a thin conducting wire. If the new charge density of the bigger sphere is σ′. The ratio ‌
σ′
σ
 is:
[30-Jan-2023 Shift 1]
Two isolated metallic solid spheres of radii R and 2R are charged such that both have same charge density σ. The spheres are then connected by a thin conducting wire. If the new charge density of the bigger sphere is σ′. The ratio ‌
σ′
σ
 is:
[30-Jan-2023 Shift 1]
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
As shown in the figure, a point charge Q is placed at the centre of conducting spherical shell of inner radius a and outer radius b. The electric field due to charge Q in three different regions I, II and III is given by : (I:r<a, II : a<r<b, III : r>b )

[30-Jan-2023 Shift 2]
As shown in the figure, a point charge Q is placed at the centre of conducting spherical shell of inner radius a and outer radius b. The electric field due to charge Q in three different regions I, II and III is given by : (I:r<a, II : a<r<b, III : r>b )

[30-Jan-2023 Shift 2]
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
A point source of 100W emits light with 5% efficiency. At a distance of 5m from the source, the intensity produced by the electric field component is :
[30-Jan-2023 Shift 2]
A point source of 100W emits light with 5% efficiency. At a distance of 5m from the source, the intensity produced by the electric field component is :
[30-Jan-2023 Shift 2]
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
As shown in figure, a cuboid lies in a region with electric field E=2x2‌
^
i
−4y‌
^
j
+6‌
^
k
‌‌N∕C. The magnitude of charge within the cuboid is n∈0C. The value of n is ________ (if dimension of cuboid is 1×2×3m3 )

[30-Jan-2023 Shift 2]
As shown in figure, a cuboid lies in a region with electric field E=2x2‌
^
i
−4y‌
^
j
+6‌
^
k
‌‌N∕C. The magnitude of charge within the cuboid is n∈0C. The value of n is ________ (if dimension of cuboid is 1×2×3m3 )

[30-Jan-2023 Shift 2]
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
Which of the following correctly represents the variation of electric potential (V) of a charged spherical conductor of radius (R) with radial distance (r) from the centre?
[31-Jan-2023 Shift 1]
Which of the following correctly represents the variation of electric potential (V) of a charged spherical conductor of radius (R) with radial distance (r) from the centre?
[31-Jan-2023 Shift 1]
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
Expression for an electric field is given by
→
E
=4000x2‌
^
i
‌
V
m
. The electric flux through the cube of side 20‌cm when placed in electric field (as shown in the figure) is ________ V‌cm.

[31-Jan-2023 Shift 1]
Expression for an electric field is given by
→
E
=4000x2‌
^
i
‌
V
m
. The electric flux through the cube of side 20‌cm when placed in electric field (as shown in the figure) is ________ V‌cm.

[31-Jan-2023 Shift 1]
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
Considering a group of positive charges, which of the following statements is correct?
[31-Jan-2023 Shift 2]
Considering a group of positive charges, which of the following statements is correct?
[31-Jan-2023 Shift 2]
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
A charge particle of 2µC accelerated by a potential difference of 100V enters a region of uniform magnetic field of magnitude 4‌mT at right angle to the direction of field. The charge particle completes semicircle of radius 3‌cm inside magnetic field. The mass of the charge particle is ______ ‌‌×10−18‌kg.
[1-Feb-2023 Shift 1]
A charge particle of 2µC accelerated by a potential difference of 100V enters a region of uniform magnetic field of magnitude 4‌mT at right angle to the direction of field. The charge particle completes semicircle of radius 3‌cm inside magnetic field. The mass of the charge particle is ______ ‌‌×10−18‌kg.
[1-Feb-2023 Shift 1]
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : Two metallic spheres are charged to the same potential. One of them is hollow and another is solid, and both have the same radii. Solid sphere will have lower charge than the hollow one.
Reason R: Capacitance of metallic spheres depend on the radii of spheres.
In the light of the above statements, choose the correct answer from the options given below.
[1-Feb-2023 Shift 2]
Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : Two metallic spheres are charged to the same potential. One of them is hollow and another is solid, and both have the same radii. Solid sphere will have lower charge than the hollow one.
Reason R: Capacitance of metallic spheres depend on the radii of spheres.
In the light of the above statements, choose the correct answer from the options given below.
[1-Feb-2023 Shift 2]
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
Let σ be the uniform surface charge density of two infinite thin plane sheets shown in figure. Then the electric fields in three different region EI,EII and
EIII are:

[1-Feb-2023 Shift 1]
Let σ be the uniform surface charge density of two infinite thin plane sheets shown in figure. Then the electric fields in three different region EI,EII and
EIII are:

[1-Feb-2023 Shift 1]
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
Two equal positive point charges are separated by a distance 2a. The distance of a point from the centre of the line joining two charges on the equatorial line (perpendicular bisector) at which force experienced by a test charge q0 becomes maximum is ‌
a
√x
. The value of x is _______.
[1-Feb-2023 Shift 1]
Two equal positive point charges are separated by a distance 2a. The distance of a point from the centre of the line joining two charges on the equatorial line (perpendicular bisector) at which force experienced by a test charge q0 becomes maximum is ‌
a
√x
. The value of x is _______.
[1-Feb-2023 Shift 1]
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
A cubical volume is bounded by the surfaces x=0,x=a,y=0,y=a,z=0,z=a. The electric field in the region is given by
→
E
=E0×‌
^
i
. Where E0=4×104NC−1m−1. If a=2‌cm, the charge contained in the cubical volume is Q×10−14C. The value of Q is ______.
Take E0=9×10−12C2∕Nm2 )
[1-Feb-2023 Shift 2]
A cubical volume is bounded by the surfaces x=0,x=a,y=0,y=a,z=0,z=a. The electric field in the region is given by
→
E
=E0×‌
^
i
. Where E0=4×104NC−1m−1. If a=2‌cm, the charge contained in the cubical volume is Q×10−14C. The value of Q is ______.
Take E0=9×10−12C2∕Nm2 )
[1-Feb-2023 Shift 2]
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
For a uniformly charged thin spherical shell, the electric potential (V) radially away from the entre (O) of shell can be graphically represented as -

[6-Apr-2023 shift 1]
For a uniformly charged thin spherical shell, the electric potential (V) radially away from the entre (O) of shell can be graphically represented as -

[6-Apr-2023 shift 1]
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
A dipole comprises of two charged particles of identical magnitude q and opposite in nature. The mass ' m ' of the positive charged particle is half of the mass of the negative charged particle. The two charges are separated by a distance 'l'. If the dipole is placed in a uniform electric field ' E '; in such a way that dipole axis makes a very small angle with the electric field, ' E '. The angular frequency of the oscillations of the dipole when released is given by :
[6-Apr-2023 shift 2]
A dipole comprises of two charged particles of identical magnitude q and opposite in nature. The mass ' m ' of the positive charged particle is half of the mass of the negative charged particle. The two charges are separated by a distance 'l'. If the dipole is placed in a uniform electric field ' E '; in such a way that dipole axis makes a very small angle with the electric field, ' E '. The angular frequency of the oscillations of the dipole when released is given by :
[6-Apr-2023 shift 2]
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
Experimentally it is found that 12.8‌eV energy is required to separate a hydrogen atom into a proton and an electron. So the orbital radius of the electron in a hydrogen atom is ‌
9
x
×10−10m. The value of the x is _______ :
(1‌eV=1.6×10−19J,‌
1
4πE0
=9×109Nm2∕C2. and electronic charge =1.6×10−19C)
[6-Apr-2023 shift 2]
Experimentally it is found that 12.8‌eV energy is required to separate a hydrogen atom into a proton and an electron. So the orbital radius of the electron in a hydrogen atom is ‌
9
x
×10−10m. The value of the x is _______ :
(1‌eV=1.6×10−19J,‌
1
4πE0
=9×109Nm2∕C2. and electronic charge =1.6×10−19C)
[6-Apr-2023 shift 2]
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
Graphical variation of electric field due to a uniformly charged insulating solid sphere of radius R, with distance r from the centre O is represented by:

[8-Apr-2023 shift 1]
Graphical variation of electric field due to a uniformly charged insulating solid sphere of radius R, with distance r from the centre O is represented by:

[8-Apr-2023 shift 1]
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
An electric dipole of dipole moment is 6.0×10−6Cm placed in a uniform electric field of 1.5×103NC−1 in such a way that dipole moment is along electric field. The work done in rotating dipole by 180∘ in this field will be _______ mJ.
[8-Apr-2023 shift 1]
An electric dipole of dipole moment is 6.0×10−6Cm placed in a uniform electric field of 1.5×103NC−1 in such a way that dipole moment is along electric field. The work done in rotating dipole by 180∘ in this field will be _______ mJ.
[8-Apr-2023 shift 1]
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
Electric potential at a point ' P ' due to a point charge of 5×10−9C is 50V. The distance of ' P ' from the point charge is:
(Assume, ‌
1
4πε0
=9×10+9Nm2C−2 )
[8-Apr-2023 shift 2]
Electric potential at a point ' P ' due to a point charge of 5×10−9C is 50V. The distance of ' P ' from the point charge is:
(Assume, ‌
1
4πε0
=9×10+9Nm2C−2 )
[8-Apr-2023 shift 2]
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
Three concentric spherical metallic shells X,Y and Z of radius a,b and c respectively [a<b<c] have surface charge densities σ,−σ and σ, respectively. The shells X and Z are at same potential. If the radii of X & Y are 2‌cm and 3‌cm, respectively. The radius of shell Z is ________ cm.
[10-Apr-2023 shift 1]
Three concentric spherical metallic shells X,Y and Z of radius a,b and c respectively [a<b<c] have surface charge densities σ,−σ and σ, respectively. The shells X and Z are at same potential. If the radii of X & Y are 2‌cm and 3‌cm, respectively. The radius of shell Z is ________ cm.
[10-Apr-2023 shift 1]
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
An electron revolves around an infinite cylindrical wire having uniform linear charge density 2×10−8Cm−1 in circular path under the influence of attractive electrostatic field as shown in the figure. The velocity of electron with which it is revolving is ×106m s−1. Given mass of electron =9×10−31‌kg

[10-Apr-2023 shift 2]
An electron revolves around an infinite cylindrical wire having uniform linear charge density 2×10−8Cm−1 in circular path under the influence of attractive electrostatic field as shown in the figure. The velocity of electron with which it is revolving is ×106m s−1. Given mass of electron =9×10−31‌kg

[10-Apr-2023 shift 2]
Q.61 Correct
Q.61 In-correct
Q.61 Unattempt
As shown in the figure, a configuration of two equal point charges (q0=+2µC) is placed on an inclined plane. Mass of each point charge is 20g. Assume that there is no friction between charge and plane. For the system of two point charges to be in equilibrium (at rest) the height h=x×10−3m. The value of x is ________.
(Take ‌
1
4πε0
=9×109Nm2C−2,g=10ms−2 )

[11-Apr-2023 shift 1]
As shown in the figure, a configuration of two equal point charges (q0=+2µC) is placed on an inclined plane. Mass of each point charge is 20g. Assume that there is no friction between charge and plane. For the system of two point charges to be in equilibrium (at rest) the height h=x×10−3m. The value of x is ________.
(Take ‌
1
4πε0
=9×109Nm2C−2,g=10ms−2 )

[11-Apr-2023 shift 1]
Q.62 Correct
Q.62 In-correct
Q.62 Unattempt
If V is the gravitational potential due to sphere of uniform density on it's surface, then it's value at the center of sphere will be:-
[11-Apr-2023 shift 2]
If V is the gravitational potential due to sphere of uniform density on it's surface, then it's value at the center of sphere will be:-
[11-Apr-2023 shift 2]
Q.63 Correct
Q.63 In-correct
Q.63 Unattempt
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : If an electric dipole of dipole moment 30×10−5Cm is enclosed by a closed surface, the net flux coming out of the surface will be zero.
Reason R : Electric dipole consists of two equal and opposite charges.
In the light of above, statements, choose the correct answer from the options given below.
[12-Apr-2023 shift 1]
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : If an electric dipole of dipole moment 30×10−5Cm is enclosed by a closed surface, the net flux coming out of the surface will be zero.
Reason R : Electric dipole consists of two equal and opposite charges.
In the light of above, statements, choose the correct answer from the options given below.
[12-Apr-2023 shift 1]
Q.64 Correct
Q.64 In-correct
Q.64 Unattempt
Two charges each of magnitude 0.01C and separated by a distance of 0.4‌mm constitute an electric dipole. If the dipole is placed in an uniform electric field '
→
E
 ' of 10 dyne/C making 30∘ angle with
→
E
, the magnitude of torque acting on dipole is
[13-Apr-2023 shift 1]
Two charges each of magnitude 0.01C and separated by a distance of 0.4‌mm constitute an electric dipole. If the dipole is placed in an uniform electric field '
→
E
 ' of 10 dyne/C making 30∘ angle with
→
E
, the magnitude of torque acting on dipole is
[13-Apr-2023 shift 1]
Q.65 Correct
Q.65 In-correct
Q.65 Unattempt
A thin infinite sheet charge and an infinite line charge of respective charge densities +σ and +λ are placed parallel at 5m distance from each other. Points ' P ' and ' Q ' are at ‌
3
π
m and ‌
4
π
m perpendicular distances from line charge towards sheet charge, respectively. ' EP ' and ' EQ ' are the magnitudes of resultant electric field intensities at point 'P' and 'Q' respectively. If ‌
EP
EQ
=‌
4
a
 for 2|σ|=|λ|, then the value of a is ________
[13-Apr-2023 shift 1]
A thin infinite sheet charge and an infinite line charge of respective charge densities +σ and +λ are placed parallel at 5m distance from each other. Points ' P ' and ' Q ' are at ‌
3
π
m and ‌
4
π
m perpendicular distances from line charge towards sheet charge, respectively. ' EP ' and ' EQ ' are the magnitudes of resultant electric field intensities at point 'P' and 'Q' respectively. If ‌
EP
EQ
=‌
4
a
 for 2|σ|=|λ|, then the value of a is ________
[13-Apr-2023 shift 1]
Q.66 Correct
Q.66 In-correct
Q.66 Unattempt
A 10µC charge is divided into two parts and placed at 1‌cm distance so that the repulsive force between them is maximum. The charges of the two parts are:
[13-Apr-2023 shift 2]
A 10µC charge is divided into two parts and placed at 1‌cm distance so that the repulsive force between them is maximum. The charges of the two parts are:
[13-Apr-2023 shift 2]
Q.67 Correct
Q.67 In-correct
Q.67 Unattempt
Three point charges q,−2q and 2q are placed on x-axis at a distance x=0,x=‌
3
4
R and x=R respectively from origin as shown. If q=2×10−6C and R=2‌cm, the magnitude of net force experienced by the charge −2q is _______ N.

[13-Apr-2023 shift 2]
Three point charges q,−2q and 2q are placed on x-axis at a distance x=0,x=‌
3
4
R and x=R respectively from origin as shown. If q=2×10−6C and R=2‌cm, the magnitude of net force experienced by the charge −2q is _______ N.

[13-Apr-2023 shift 2]
Q.68 Correct
Q.68 In-correct
Q.68 Unattempt
The electric field due to a short electric dipole at a large distance (r) from center of dipole on the equatorial plane varies with distance as :
[15-Apr-2023 shift 1]
The electric field due to a short electric dipole at a large distance (r) from center of dipole on the equatorial plane varies with distance as :
[15-Apr-2023 shift 1]
Q.69 Correct
Q.69 In-correct
Q.69 Unattempt
A parallel plate capacitor with plate area A and plate separation d is filed with a dielectric material of dielectric constant K=4. The thickness of the dielectric material is x, where x<d.


Let C1 and C2 be the capacitance of the system for x=‌
1
3
d and x=‌
2d
3
, respectively. If C1=2µF the value of C2 is _________ µF
[6-Apr-2023 shift 1]
A parallel plate capacitor with plate area A and plate separation d is filed with a dielectric material of dielectric constant K=4. The thickness of the dielectric material is x, where x<d.


Let C1 and C2 be the capacitance of the system for x=‌
1
3
d and x=‌
2d
3
, respectively. If C1=2µF the value of C2 is _________ µF
[6-Apr-2023 shift 1]
Q.70 Correct
Q.70 In-correct
Q.70 Unattempt
As shown in the figure, two parallel plate capacitors having equal plate area of 200cm2 are joined in such a way that α≠b. The equivalent capacitance of the combination is x∈0 F. The value of x is _______.

[6-Apr-2023 shift 2]
As shown in the figure, two parallel plate capacitors having equal plate area of 200cm2 are joined in such a way that α≠b. The equivalent capacitance of the combination is x∈0 F. The value of x is _______.

[6-Apr-2023 shift 2]
Q.71 Correct
Q.71 In-correct
Q.71 Unattempt
A 600‌pF capacitor is charged by 200V supply. It is then disconnected from the supply and is connected to another uncharged 600‌pF capacitor. Electrostatic energy lost in the process is _______ µJ
[8-Apr-2023 shift 2]
A 600‌pF capacitor is charged by 200V supply. It is then disconnected from the supply and is connected to another uncharged 600‌pF capacitor. Electrostatic energy lost in the process is _______ µJ
[8-Apr-2023 shift 2]
Q.72 Correct
Q.72 In-correct
Q.72 Unattempt
The equivalent capacitance of the combination shown is

[10-Apr-2023 shift 1]
The equivalent capacitance of the combination shown is

[10-Apr-2023 shift 1]
Q.73 Correct
Q.73 In-correct
Q.73 Unattempt
The distance between two plates of a capacitor is d and its capacitance is C1, when air is the medium between the plates. If a metal sheet of thickness ‌
2d
3
 and of the same area as plate is introduced between the plates, the capacitance of the capacitor becomes C2. The ratio ‌
C2
C1
 is
[10-Apr-2023 shift 2]
The distance between two plates of a capacitor is d and its capacitance is C1, when air is the medium between the plates. If a metal sheet of thickness ‌
2d
3
 and of the same area as plate is introduced between the plates, the capacitance of the capacitor becomes C2. The ratio ‌
C2
C1
 is
[10-Apr-2023 shift 2]
Q.74 Correct
Q.74 In-correct
Q.74 Unattempt
The electric field in an electromagnetic wave is given as
→
E
=20sin‌ω(t−‌
x
c
)
→
j
NC−1
where ω and c are angular frequency and velocity of electromagnetic wave respectively. the energy contained in a volume of 5×10−4m3 will be (Given ε0=8.85×10−12c2∕Nm2 )
[11-Apr-2023 shift 1]
The electric field in an electromagnetic wave is given as
→
E
=20sin‌ω(t−‌
x
c
)
→
j
NC−1
where ω and c are angular frequency and velocity of electromagnetic wave respectively. the energy contained in a volume of 5×10−4m3 will be (Given ε0=8.85×10−12c2∕Nm2 )
[11-Apr-2023 shift 1]
Q.75 Correct
Q.75 In-correct
Q.75 Unattempt
A parallel plate capacitor of capacitance 2F is charged to a potential V, The energy stored in the capacitor is E1. The capacitor is now connected to another uncharged identical capacitor in parallel combination. The energy stored in the combination is E2. The ratio E2∕E1 is :
[11-Apr-2023 shift 1]
A parallel plate capacitor of capacitance 2F is charged to a potential V, The energy stored in the capacitor is E1. The capacitor is now connected to another uncharged identical capacitor in parallel combination. The energy stored in the combination is E2. The ratio E2∕E1 is :
[11-Apr-2023 shift 1]
Q.76 Correct
Q.76 In-correct
Q.76 Unattempt
A capacitor of capacitance C is charge to a potential V. The flux of the electric field through a closed surface enclosing the positive plate of the capacitor is :
[11-Apr-2023 shift 2]
A capacitor of capacitance C is charge to a potential V. The flux of the electric field through a closed surface enclosing the positive plate of the capacitor is :
[11-Apr-2023 shift 2]
Q.77 Correct
Q.77 In-correct
Q.77 Unattempt
In the given circuit, C1=2µF,C2=0.2µF,C3=2µF,C4=4µF,C5=2µF,C6=2µf, The charge stored on capacitor C4 is ________ µC.

[11-Apr-2023 shift 2]
In the given circuit, C1=2µF,C2=0.2µF,C3=2µF,C4=4µF,C5=2µF,C6=2µf, The charge stored on capacitor C4 is ________ µC.

[11-Apr-2023 shift 2]
Q.78 Correct
Q.78 In-correct
Q.78 Unattempt
In the network shown below, the charge accumulated in the capacitor in steady state will be :

[13-Apr-2023 shift 2]
In the network shown below, the charge accumulated in the capacitor in steady state will be :

[13-Apr-2023 shift 2]
Q.79 Correct
Q.79 In-correct
Q.79 Unattempt
In the circuit shown, the energy stored in the capacitor is nµJ. The value of n is

[13-Apr-2023 shift 2]
In the circuit shown, the energy stored in the capacitor is nµJ. The value of n is

[13-Apr-2023 shift 2]
Q.80 Correct
Q.80 In-correct
Q.80 Unattempt
In the given figure the total charge stored in the combination of capacitors is 100µC. The value of ' x ' is ________

[15-Apr-2023 shift 1]
In the given figure the total charge stored in the combination of capacitors is 100µC. The value of ' x ' is ________

[15-Apr-2023 shift 1]
Q.81 Correct
Q.81 In-correct
Q.81 Unattempt
A vertical electric field of magnitude 4.9×105N∕C just prevents a water droplet of a mass 0.1g from falling. The value of charge on the droplet will be :
(Given : g=9.8m∕s2 )
[24-Jun-2022-Shift-1]
A vertical electric field of magnitude 4.9×105N∕C just prevents a water droplet of a mass 0.1g from falling. The value of charge on the droplet will be :
(Given : g=9.8m∕s2 )
[24-Jun-2022-Shift-1]
Q.82 Correct
Q.82 In-correct
Q.82 Unattempt
Two identical charged particles each having a mass 10g and charge 2.0×10−7C are placed on a horizontal table with a separation of L between them such that they stay in limited equilibrium. If the coefficient of friction between each particle and the table is 0.25, find the value of L. [Use g=10ms−2]
[24-Jun-2022-Shift-2]
Two identical charged particles each having a mass 10g and charge 2.0×10−7C are placed on a horizontal table with a separation of L between them such that they stay in limited equilibrium. If the coefficient of friction between each particle and the table is 0.25, find the value of L. [Use g=10ms−2]
[24-Jun-2022-Shift-2]
Q.83 Correct
Q.83 In-correct
Q.83 Unattempt
A long cylindrical volume contains a uniformly distributed charge of density ρ. The radius of cylindrical volume is R. A charge particle (q) revolves around the cylinder in a circular path. The kinetic energy of the particle is:
[24-Jun-2022-Shift-2]
A long cylindrical volume contains a uniformly distributed charge of density ρ. The radius of cylindrical volume is R. A charge particle (q) revolves around the cylinder in a circular path. The kinetic energy of the particle is:
[24-Jun-2022-Shift-2]
Q.84 Correct
Q.84 In-correct
Q.84 Unattempt
In the figure, a very large plane sheet of positive charge is shown. P1 and P2 are two points at distance I and 2∣ from the charge distribution. If σ is the surface charge density, then the magnitude of electric fields E1 and E2 at P1 and P2 respectively are :

[25-Jun-2022-Shift-1]
In the figure, a very large plane sheet of positive charge is shown. P1 and P2 are two points at distance I and 2∣ from the charge distribution. If σ is the surface charge density, then the magnitude of electric fields E1 and E2 at P1 and P2 respectively are :

[25-Jun-2022-Shift-1]
Q.85 Correct
Q.85 In-correct
Q.85 Unattempt
27 identical drops are charged at 22V each. They combine to form a bigger drop. The potential of the bigger drop will be_____ V.
[25-Jun-2022-Shift-2]
27 identical drops are charged at 22V each. They combine to form a bigger drop. The potential of the bigger drop will be_____ V.
[25-Jun-2022-Shift-2]
Q.86 Correct
Q.86 In-correct
Q.86 Unattempt
Sixty four conducting drops each of radius 0.02m and each carrying a charge of 5µC are combined to form a bigger drop. The ratio of surface density of bigger drop to the smaller drop will be :
[26-Jun-2022-Shift-2]
Sixty four conducting drops each of radius 0.02m and each carrying a charge of 5µC are combined to form a bigger drop. The ratio of surface density of bigger drop to the smaller drop will be :
[26-Jun-2022-Shift-2]
Q.87 Correct
Q.87 In-correct
Q.87 Unattempt
If a charge q is placed at the centre of a closed hemispherical non-conducting surface, the total flux passing through the flat surface would be :

[27-Jun-2022-Shift-2]
If a charge q is placed at the centre of a closed hemispherical non-conducting surface, the total flux passing through the flat surface would be :

[27-Jun-2022-Shift-2]
Q.88 Correct
Q.88 In-correct
Q.88 Unattempt
Three identical charged balls each of charge 2C are suspended from a common point P by silk threads of 2m each (as shown in figure). They form an equilateral triangle of side 1m.
The ratio of net force on a charged ball to the force between any two charged balls will be:

[27-Jun-2022-Shift-2]
Three identical charged balls each of charge 2C are suspended from a common point P by silk threads of 2m each (as shown in figure). They form an equilateral triangle of side 1m.
The ratio of net force on a charged ball to the force between any two charged balls will be:

[27-Jun-2022-Shift-2]
Q.89 Correct
Q.89 In-correct
Q.89 Unattempt
Given below are two statements :
Statement I : A point charge is brought in an electric field. The value of electric field at a point near to the charge may increase if the charge is positive.
Statement II : An electric dipole is placed in a non-uniform electric field. The net electric force on the dipole will not be zero.
Choose the correct answer from the options given below :
[28-Jun-2022-Shift-1]
Given below are two statements :
Statement I : A point charge is brought in an electric field. The value of electric field at a point near to the charge may increase if the charge is positive.
Statement II : An electric dipole is placed in a non-uniform electric field. The net electric force on the dipole will not be zero.
Choose the correct answer from the options given below :
[28-Jun-2022-Shift-1]
Q.90 Correct
Q.90 In-correct
Q.90 Unattempt
The three charges q∕2,q and q∕2 are placed at the corners A,B and C of a square of side 'a' as shown in figure. The magnitude of electric field (E) at the corner D of the square, is :

[28-Jun-2022-Shift-1]
The three charges q∕2,q and q∕2 are placed at the corners A,B and C of a square of side 'a' as shown in figure. The magnitude of electric field (E) at the corner D of the square, is :

[28-Jun-2022-Shift-1]
Q.91 Correct
Q.91 In-correct
Q.91 Unattempt
Two point charges A and B of magnitude +8×10−6C and −8×10−6C respectively are placed at a distance d apart. The electric field at the middle point O between the charges is 6.4×104NC−1. The distance ' d ' between the point charges A and B is :
[28-Jun-2022-Shift-2]
Two point charges A and B of magnitude +8×10−6C and −8×10−6C respectively are placed at a distance d apart. The electric field at the middle point O between the charges is 6.4×104NC−1. The distance ' d ' between the point charges A and B is :
[28-Jun-2022-Shift-2]
Q.92 Correct
Q.92 In-correct
Q.92 Unattempt
A positive charge particle of 100‌mg is thrown in opposite direction to a uniform electric field of strength 1×105NC−1. If the charge on the particle is 40µC and the initial velocity is 200ms−1, how much distance it will travel before coming to the rest momentarily :
[29-Jun-2022-Shift-1]
A positive charge particle of 100‌mg is thrown in opposite direction to a uniform electric field of strength 1×105NC−1. If the charge on the particle is 40µC and the initial velocity is 200ms−1, how much distance it will travel before coming to the rest momentarily :
[29-Jun-2022-Shift-1]
Q.93 Correct
Q.93 In-correct
Q.93 Unattempt
At what temperature a gold ring of diameter 6.230‌cm be heated so that it can be fitted on a wooden bangle of diameter 6.241‌cm ? Both the diameters have been measured at room temperature (27∘C).
(Given : coefficient of linear thermal expansion of gold αL=1.4×10−5K−1 )
[29-Jun-2022-Shift-2]
At what temperature a gold ring of diameter 6.230‌cm be heated so that it can be fitted on a wooden bangle of diameter 6.241‌cm ? Both the diameters have been measured at room temperature (27∘C).
(Given : coefficient of linear thermal expansion of gold αL=1.4×10−5K−1 )
[29-Jun-2022-Shift-2]
Q.94 Correct
Q.94 In-correct
Q.94 Unattempt
If the electric potential at any point (x,y,z)m in space is given by V=3x2 volt. The electric field at the point (1,0,3)m will be :
[29-Jun-2022-Shift-2]
If the electric potential at any point (x,y,z)m in space is given by V=3x2 volt. The electric field at the point (1,0,3)m will be :
[29-Jun-2022-Shift-2]
Q.95 Correct
Q.95 In-correct
Q.95 Unattempt
A parallel plate capacitor is formed by two plates each of area 30πcm2 separated by 1‌mm. A material of dielectric strength 3.6×107Vm−1 is filled between the plates. If the maximum charge that can be stored on the capacitor without causing any dielectric breakdown is 7×10−6C, the value of dielectric constant of the material is :
[ Use .‌
1
4πε0
=9×109Nm2C−2]
[24-Jun-2022-Shift-1]
A parallel plate capacitor is formed by two plates each of area 30πcm2 separated by 1‌mm. A material of dielectric strength 3.6×107Vm−1 is filled between the plates. If the maximum charge that can be stored on the capacitor without causing any dielectric breakdown is 7×10−6C, the value of dielectric constant of the material is :
[ Use .‌
1
4πε0
=9×109Nm2C−2]
[24-Jun-2022-Shift-1]
Q.96 Correct
Q.96 In-correct
Q.96 Unattempt
If the charge on a capacitor is increased by 2C, the energy stored in it increases by 44%. The original charge on the capacitor is (in C)
[24-Jun-2022-Shift-2]
If the charge on a capacitor is increased by 2C, the energy stored in it increases by 44%. The original charge on the capacitor is (in C)
[24-Jun-2022-Shift-2]
Q.97 Correct
Q.97 In-correct
Q.97 Unattempt
The equivalent capacitance between points A and B in below shown figure will be _______µF

[25-Jun-2022-Shift-1]
The equivalent capacitance between points A and B in below shown figure will be _______µF

[25-Jun-2022-Shift-1]
Q.98 Correct
Q.98 In-correct
Q.98 Unattempt
Two metallic plates form a parallel plate capacitor. The distance between the plates is ' d '. A metal sheet of thickness ‌
d
2
 and of area equal to area of each plate is introduced between the plates. What will be the ratio of the new capacitance to the original capacitance of the capacitor?
[25-Jun-2022-Shift-2]
Two metallic plates form a parallel plate capacitor. The distance between the plates is ' d '. A metal sheet of thickness ‌
d
2
 and of area equal to area of each plate is introduced between the plates. What will be the ratio of the new capacitance to the original capacitance of the capacitor?
[25-Jun-2022-Shift-2]
Q.99 Correct
Q.99 In-correct
Q.99 Unattempt
Two capacitors having capacitance C1 and C2 respectively are connected as shown in figure. Initially, capacitor C1 is charged to a potential difference V volt by a battery. The battery is then removed and the charged capacitor C1 is now connected to uncharged capacitor C2 by closing the switch S. The amount of charge on the capacitor C2, after equilibrium, is :

[26-Jun-2022-Shift-1]
Two capacitors having capacitance C1 and C2 respectively are connected as shown in figure. Initially, capacitor C1 is charged to a potential difference V volt by a battery. The battery is then removed and the charged capacitor C1 is now connected to uncharged capacitor C2 by closing the switch S. The amount of charge on the capacitor C2, after equilibrium, is :

[26-Jun-2022-Shift-1]
Q.100 Correct
Q.100 In-correct
Q.100 Unattempt
The charge on capacitor of capacitance 15µF in the figure given below is :

[26-Jun-2022-Shift-2]
The charge on capacitor of capacitance 15µF in the figure given below is :

[26-Jun-2022-Shift-2]
Q.101 Correct
Q.101 In-correct
Q.101 Unattempt
A parallel plate capacitor with plate area A and plate separation d=2m has a capacitance of 4µF. The new capacitance of the system if half of the space between them is filled with a dielectric material of dielectric constant K=3 (as shown in figure) will be

[26-Jun-2022-Shift-2]
A parallel plate capacitor with plate area A and plate separation d=2m has a capacitance of 4µF. The new capacitance of the system if half of the space between them is filled with a dielectric material of dielectric constant K=3 (as shown in figure) will be

[26-Jun-2022-Shift-2]
Q.102 Correct
Q.102 In-correct
Q.102 Unattempt
A force of 10N acts on a charged particle placed between two plates of a charged capacitor. If one plate of capacitor is removed, then the force acting on that particle will be.
[27-Jun-2022-Shift-1]
A force of 10N acts on a charged particle placed between two plates of a charged capacitor. If one plate of capacitor is removed, then the force acting on that particle will be.
[27-Jun-2022-Shift-1]
Q.103 Correct
Q.103 In-correct
Q.103 Unattempt
A capacitor of capacitance 50‌pF is charged by 100V source. It is then connected to another uncharged identical capacitor. Electrostatic energy loss in the process is____ nJ.
[27-Jun-2022-Shift-1]
A capacitor of capacitance 50‌pF is charged by 100V source. It is then connected to another uncharged identical capacitor. Electrostatic energy loss in the process is____ nJ.
[27-Jun-2022-Shift-1]
Q.104 Correct
Q.104 In-correct
Q.104 Unattempt
A parallel plate capacitor is made up of stair like structure with a plate area A of each stair and that is connected with a wire of length b, as shown in the figure. The capacitance of the arrangement is ‌
x
15
‌
E0A
b
. The value of x is_____

[27-Jun-2022-Shift-2]
A parallel plate capacitor is made up of stair like structure with a plate area A of each stair and that is connected with a wire of length b, as shown in the figure. The capacitance of the arrangement is ‌
x
15
‌
E0A
b
. The value of x is_____

[27-Jun-2022-Shift-2]
Q.105 Correct
Q.105 In-correct
Q.105 Unattempt
A capacitor C1 of capacitance 5µF is charged to a potential of 30V using a battery. The battery is then removed and the charged capacitor is connected to an uncharged capacitor C2 of capacitance 10µF as shown in figure. When the switch is closed charge flows between the capacitors. At equilibrium, the charge on the capacitor C2 is ____µC

[28-Jun-2022-Shift-2]
A capacitor C1 of capacitance 5µF is charged to a potential of 30V using a battery. The battery is then removed and the charged capacitor is connected to an uncharged capacitor C2 of capacitance 10µF as shown in figure. When the switch is closed charge flows between the capacitors. At equilibrium, the charge on the capacitor C2 is ____µC

[28-Jun-2022-Shift-2]
Q.106 Correct
Q.106 In-correct
Q.106 Unattempt
A parallel plate capacitor filled with a medium of dielectric constant 10 , is connected across a battery and is charged. The dielectric slab is replaced by another slab of dielectric constant 15 . Then the energy of capacitor will :
[29-Jun-2022-Shift-1]
A parallel plate capacitor filled with a medium of dielectric constant 10 , is connected across a battery and is charged. The dielectric slab is replaced by another slab of dielectric constant 15 . Then the energy of capacitor will :
[29-Jun-2022-Shift-1]
Q.107 Correct
Q.107 In-correct
Q.107 Unattempt
A capacitor is discharging through a resistor R. Consider in time t1, the energy stored in the capacitor reduces to half of its initial value and in time t2, the charge stored reduces to one eighth of its initial value. The ratio t1∕t2 will be
[29-Jun-2022-Shift-2]
A capacitor is discharging through a resistor R. Consider in time t1, the energy stored in the capacitor reduces to half of its initial value and in time t2, the charge stored reduces to one eighth of its initial value. The ratio t1∕t2 will be
[29-Jun-2022-Shift-2]
Q.108 Correct
Q.108 In-correct
Q.108 Unattempt
The displacement current of 4.425µA is developed in the space between the plates of parallel plate capacitor when voltage is changing at a rate of 106Vs−1. The area of each plate of the capacitor is 40cm2. The distance between each plate of the capacitor is x×10−3m. The value of x is_____
(Permittivity of free space, E0=8.85×10−12C2N−1m−2 ).
[29-Jun-2022-Shift-2]
The displacement current of 4.425µA is developed in the space between the plates of parallel plate capacitor when voltage is changing at a rate of 106Vs−1. The area of each plate of the capacitor is 40cm2. The distance between each plate of the capacitor is x×10−3m. The value of x is_____
(Permittivity of free space, E0=8.85×10−12C2N−1m−2 ).
[29-Jun-2022-Shift-2]
Q.109 Correct
Q.109 In-correct
Q.109 Unattempt
The volume charge density of a sphere of radius 6m is 2µCcm−3. The number of lines of force per unit surface area coming out from the surface of the sphere is ×1010NC−1.
[Given : Permittivity of vacuum E0=8.85×10−12C2N−1−m−2 )
[25-Jul-2022-Shift-1]
The volume charge density of a sphere of radius 6m is 2µCcm−3. The number of lines of force per unit surface area coming out from the surface of the sphere is ×1010NC−1.
[Given : Permittivity of vacuum E0=8.85×10−12C2N−1−m−2 )
[25-Jul-2022-Shift-1]
Q.110 Correct
Q.110 In-correct
Q.110 Unattempt
Two uniformly charged spherical conductors A and B of radii 5‌mm and 10‌mm are separated by a distance of 2‌cm. If the spheres are connected by a conducting wire, then in equilibrium condition, the ratio of the magnitudes of the electric fields at the surface of the sphere A and B will be :
[26-Jul-2022-Shift-2]
Two uniformly charged spherical conductors A and B of radii 5‌mm and 10‌mm are separated by a distance of 2‌cm. If the spheres are connected by a conducting wire, then in equilibrium condition, the ratio of the magnitudes of the electric fields at the surface of the sphere A and B will be :
[26-Jul-2022-Shift-2]
Q.111 Correct
Q.111 In-correct
Q.111 Unattempt
Three point charges of magnitude 5µC,0.16µC and 0.3µC are located at the vertices A,B,C of a right angled triangle whose sides are AB=3‌cm,BC=3√2‌cm and CA=3‌cm and point A is the right angle corner. Charge at point A experiences _________ N of electrostatic force due to the other two charges.
[26-Jul-2022-Shift-2]
Three point charges of magnitude 5µC,0.16µC and 0.3µC are located at the vertices A,B,C of a right angled triangle whose sides are AB=3‌cm,BC=3√2‌cm and CA=3‌cm and point A is the right angle corner. Charge at point A experiences _________ N of electrostatic force due to the other two charges.
[26-Jul-2022-Shift-2]
Q.112 Correct
Q.112 In-correct
Q.112 Unattempt
A long cylindrical volume contains a uniformly distributed charge of density ρCm−3. The electric field inside the cylindrical volume at a distance x=‌
2ε0
ρ
m from its axis is _______Vm−1

[27-Jul-2022-Shift-1]
A long cylindrical volume contains a uniformly distributed charge of density ρCm−3. The electric field inside the cylindrical volume at a distance x=‌
2ε0
ρ
m from its axis is _______Vm−1

[27-Jul-2022-Shift-1]
Q.113 Correct
Q.113 In-correct
Q.113 Unattempt
A charge of 4µC is to be divided into two. The distance between the two divided charges is constant. The magnitude of the divided charges so that the force between them is maximum, will be :
[27-Jul-2022-Shift-2]
A charge of 4µC is to be divided into two. The distance between the two divided charges is constant. The magnitude of the divided charges so that the force between them is maximum, will be :
[27-Jul-2022-Shift-2]
Q.114 Correct
Q.114 In-correct
Q.114 Unattempt
Two electric dipoles of dipole moments 1.2×10−30‌Cm and 2.4×10−30‌Cm are placed in two different uniform electric fields of strengths 5×104NC−1 and 15×104NC−1 respectively. The ratio of maximum torque experienced by the electric dipoles will be ‌
1
x
. The value of x is _______.
[28-Jul-2022-Shift-1]
Two electric dipoles of dipole moments 1.2×10−30‌Cm and 2.4×10−30‌Cm are placed in two different uniform electric fields of strengths 5×104NC−1 and 15×104NC−1 respectively. The ratio of maximum torque experienced by the electric dipoles will be ‌
1
x
. The value of x is _______.
[28-Jul-2022-Shift-1]
Q.115 Correct
Q.115 In-correct
Q.115 Unattempt
A spherically symmetric charge distribution is considered with charge density varying as
Where, r(r<R) is the distance from the centre 0 (as shown in figure). The electric field at point P will be:

[29-Jul-2022-Shift-1]
A spherically symmetric charge distribution is considered with charge density varying as
Where, r(r<R) is the distance from the centre 0 (as shown in figure). The electric field at point P will be:

[29-Jul-2022-Shift-1]
Q.116 Correct
Q.116 In-correct
Q.116 Unattempt
Given below are two statements.
Statement I : Electric potential is constant within and at the surface of each conductor.
Statement II : Electric field just outside a charged conductor is perpendicular to the surface of the conductor at every point.
In the light of the above statements, choose the most appropriate answer from the options given below.
[29-Jul-2022-Shift-1]
Given below are two statements.
Statement I : Electric potential is constant within and at the surface of each conductor.
Statement II : Electric field just outside a charged conductor is perpendicular to the surface of the conductor at every point.
In the light of the above statements, choose the most appropriate answer from the options given below.
[29-Jul-2022-Shift-1]
Q.117 Correct
Q.117 In-correct
Q.117 Unattempt
Two identical metallic spheres A and B when placed at certain distance in air repel each other with a force of F. Another identical uncharged sphere C is first placed in contact with A and then in contact with B and finally placed at midpoint between spheres A and B. The force experienced by sphere C will be:
[29-Jul-2022-Shift-2]
Two identical metallic spheres A and B when placed at certain distance in air repel each other with a force of F. Another identical uncharged sphere C is first placed in contact with A and then in contact with B and finally placed at midpoint between spheres A and B. The force experienced by sphere C will be:
[29-Jul-2022-Shift-2]
Q.118 Correct
Q.118 In-correct
Q.118 Unattempt
A condenser of 2µF capacitance is charged steadily from 0 to 5C. Which of the following graph represents correctly the variation of potential difference (V) across it's plates with respect to the
charge (Q) on the condenser?
[25-Jul-2022-Shift-1]
A condenser of 2µF capacitance is charged steadily from 0 to 5C. Which of the following graph represents correctly the variation of potential difference (V) across it's plates with respect to the
charge (Q) on the condenser?
[25-Jul-2022-Shift-1]
Q.119 Correct
Q.119 In-correct
Q.119 Unattempt
Capacitance of an isolated conducting sphere of radius R1 becomes n times when it is enclosed by a concentric conducting sphere of radius R2 connected to earth. The ratio of their radii (‌
R2
R1
) is :
[25-Jul-2022-Shift-2]
Capacitance of an isolated conducting sphere of radius R1 becomes n times when it is enclosed by a concentric conducting sphere of radius R2 connected to earth. The ratio of their radii (‌
R2
R1
) is :
[25-Jul-2022-Shift-2]
Q.120 Correct
Q.120 In-correct
Q.120 Unattempt
Two parallel plate capacitors of capacity C and 3C are connected in parallel combination and charged to a potential difference 18V. The battery is then disconnected and the space between the plates of the capacitor of capacity C is completely filled with a material of dielectric constant 9 . The final potential difference across the combination of capacitors will be ____V.
[25-Jul-2022-Shift-2]
Two parallel plate capacitors of capacity C and 3C are connected in parallel combination and charged to a potential difference 18V. The battery is then disconnected and the space between the plates of the capacitor of capacity C is completely filled with a material of dielectric constant 9 . The final potential difference across the combination of capacitors will be ____V.
[25-Jul-2022-Shift-2]
Q.121 Correct
Q.121 In-correct
Q.121 Unattempt
The total charge on the system of capacitors C1=1µF,C2=2µF,C3=4µF and C4=3µF connected in parallel is :
(Assume a battery of 20V is connected to the combination)
[26-Jul-2022-Shift-1]
The total charge on the system of capacitors C1=1µF,C2=2µF,C3=4µF and C4=3µF connected in parallel is :
(Assume a battery of 20V is connected to the combination)
[26-Jul-2022-Shift-1]
Q.122 Correct
Q.122 In-correct
Q.122 Unattempt
A composite parallel plate capacitor is made up of two different dielectric materials with different thickness (t1. and .t2) as shown in figure. The two different dielectric materials are separated by a conducting foil F. The voltage of the conducting foil is V.

[26-Jul-2022-Shift-1]
A composite parallel plate capacitor is made up of two different dielectric materials with different thickness (t1. and .t2) as shown in figure. The two different dielectric materials are separated by a conducting foil F. The voltage of the conducting foil is V.

[26-Jul-2022-Shift-1]
Q.123 Correct
Q.123 In-correct
Q.123 Unattempt
A source of potential difference V is connected to the combination of two identical capacitors as shown in the figure. When key ' K ' is closed, the total energy stored across the combination is E1. Now key ' K ' is opened and dielectric of dielectric constant 5 is introduced between the plates of the capacitors. The total energy stored across the combination is now E2. The ratio E1∕E2 will be :

[26-Jul-2022-Shift-2]
A source of potential difference V is connected to the combination of two identical capacitors as shown in the figure. When key ' K ' is closed, the total energy stored across the combination is E1. Now key ' K ' is opened and dielectric of dielectric constant 5 is introduced between the plates of the capacitors. The total energy stored across the combination is now E2. The ratio E1∕E2 will be :

[26-Jul-2022-Shift-2]
Q.124 Correct
Q.124 In-correct
Q.124 Unattempt
As show in the figure, in steady state, the charge stored in the capacitor is _______ ×10−6C.

[27-Jul-2022-Shift-2]
As show in the figure, in steady state, the charge stored in the capacitor is _______ ×10−6C.

[27-Jul-2022-Shift-2]
Q.125 Correct
Q.125 In-correct
Q.125 Unattempt
A parallel plate capacitor with width 4‌cm, length 8‌cm and separation between the plates of 4‌mm is connected to a battery of 20V. A dielectric slab of dielectric constant 5 having length 1‌cm, width 4‌cm and thickness 4‌mm is inserted between the plates of parallel plate capacitor. The electrostatic energy of this system will be _______ E0J. (Where E0 is the permittivity of free space)
[27-Jul-2022-Shift-2]
A parallel plate capacitor with width 4‌cm, length 8‌cm and separation between the plates of 4‌mm is connected to a battery of 20V. A dielectric slab of dielectric constant 5 having length 1‌cm, width 4‌cm and thickness 4‌mm is inserted between the plates of parallel plate capacitor. The electrostatic energy of this system will be _______ E0J. (Where E0 is the permittivity of free space)
[27-Jul-2022-Shift-2]
Q.126 Correct
Q.126 In-correct
Q.126 Unattempt
Two capacitors, each having capacitance 40µF are connected in series. The space between one of the capacitors is filled with dielectric material of dielectric constant K such that the equivalence capacitance of the system became 24µF. The value of K will be :
[28-Jul-2022-Shift-1]
Two capacitors, each having capacitance 40µF are connected in series. The space between one of the capacitors is filled with dielectric material of dielectric constant K such that the equivalence capacitance of the system became 24µF. The value of K will be :
[28-Jul-2022-Shift-1]
Q.127 Correct
Q.127 In-correct
Q.127 Unattempt
A slab of dielectric constant K has the same cross-sectional area as the plates of a parallel plate capacitor and thickness ‌
3
4
d, where d is the separation of the plates. The capacitance of the capacitor when the slab is inserted between the plates will be :
(Given C0= capacitance of capacitor with air as medium between plates.)
[28-Jul-2022-Shift-2]
A slab of dielectric constant K has the same cross-sectional area as the plates of a parallel plate capacitor and thickness ‌
3
4
d, where d is the separation of the plates. The capacitance of the capacitor when the slab is inserted between the plates will be :
(Given C0= capacitance of capacitor with air as medium between plates.)
[28-Jul-2022-Shift-2]
Q.128 Correct
Q.128 In-correct
Q.128 Unattempt
Two identical thin metal plates has charge q1 and q2 respectively such that q1>q2. The plates were brought close to each other to form a parallel plate capacitor of capacitance C. The potential difference between them is:
[29-Jul-2022-Shift-2]
Two identical thin metal plates has charge q1 and q2 respectively such that q1>q2. The plates were brought close to each other to form a parallel plate capacitor of capacitance C. The potential difference between them is:
[29-Jul-2022-Shift-2]
Q.129 Correct
Q.129 In-correct
Q.129 Unattempt
27 similar drops of mercury are maintained at 10V each. All these spherical drops combine into a single big drop. The potential energy of the bigger drop is ........... that of a smaller drop.
[26 Feb 2021 Shift 2]
27 similar drops of mercury are maintained at 10V each. All these spherical drops combine into a single big drop. The potential energy of the bigger drop is ........... that of a smaller drop.
[26 Feb 2021 Shift 2]
Q.130 Correct
Q.130 In-correct
Q.130 Unattempt
512 identical drops of mercury are charged to a potential of 2V each. The drops are joined to form a single drop. The potential of this drop is.
[25 Feb 2021 Shift 1]
512 identical drops of mercury are charged to a potential of 2V each. The drops are joined to form a single drop. The potential of this drop is.
[25 Feb 2021 Shift 1]
Q.131 Correct
Q.131 In-correct
Q.131 Unattempt
Consider the combination of two capacitors C1 and C2, with C2>C1, when connected in parallel, the equivalent capacitance is 15∕4 time the equivalent capacitance of the same connected in series. Calculate the ratio of capacitors ‌
C2
C1
.
[26 Feb 2021 Shift 1]
Consider the combination of two capacitors C1 and C2, with C2>C1, when connected in parallel, the equivalent capacitance is 15∕4 time the equivalent capacitance of the same connected in series. Calculate the ratio of capacitors ‌
C2
C1
.
[26 Feb 2021 Shift 1]
Q.132 Correct
Q.132 In-correct
Q.132 Unattempt
An electron with kinetic energy K1 enters between parallel plates of a capacitor at an angle α with the plates. It leaves the plates at angle β with kinetic energy K2. Then, the ratio of kinetic energies K1:K2 will be
[25 Feb 2021 Shift 2]
An electron with kinetic energy K1 enters between parallel plates of a capacitor at an angle α with the plates. It leaves the plates at angle β with kinetic energy K2. Then, the ratio of kinetic energies K1:K2 will be
[25 Feb 2021 Shift 2]
Q.133 Correct
Q.133 In-correct
Q.133 Unattempt
Two equal capacitors are first connected in series and then in parallel. The ratio of the equivalent capacities in the two cases will be :
[24feb2021shift1]
Two equal capacitors are first connected in series and then in parallel. The ratio of the equivalent capacities in the two cases will be :
[24feb2021shift1]
Q.134 Correct
Q.134 In-correct
Q.134 Unattempt
A parallel plate capacitor has plate area 100m2 and plate separation of 10m. The space between the plates is filled upto a thickness 5m with a material of dielectric constant of 10 . The resultant capacitance of the system is xpF. The value of ε0=8.85×10−12fm−1. The value of x to the nearest integer is
[18 Mar 2021 Shift 1]
A parallel plate capacitor has plate area 100m2 and plate separation of 10m. The space between the plates is filled upto a thickness 5m with a material of dielectric constant of 10 . The resultant capacitance of the system is xpF. The value of ε0=8.85×10−12fm−1. The value of x to the nearest integer is
[18 Mar 2021 Shift 1]
Q.135 Correct
Q.135 In-correct
Q.135 Unattempt
A parallel plate capacitor whose capacitance C is 14pF is charged by a battery to a potential difference V=12V between its plates. The charging battery is now disconnected and a porcelain plate with K=7 is inserted between the plates, then the plate would oscillate back and forth between the plates with a constant mechanical energy of ......... pJ.
(Assume no friction)
[17 Mar 2021 Shift 1]
A parallel plate capacitor whose capacitance C is 14pF is charged by a battery to a potential difference V=12V between its plates. The charging battery is now disconnected and a porcelain plate with K=7 is inserted between the plates, then the plate would oscillate back and forth between the plates with a constant mechanical energy of ......... pJ.
(Assume no friction)
[17 Mar 2021 Shift 1]
Q.136 Correct
Q.136 In-correct
Q.136 Unattempt
A 2µF capacitor C1 is first charged to a potential difference of 10V using a battery. Then, the battery is removed and the capacitor is connected to an uncharged capacitor C2 of 8µF. The charge in C2 on equilibrium condition is µC. (Round off to the nearest integer)

[17 Mar 2021 Shift 2]
A 2µF capacitor C1 is first charged to a potential difference of 10V using a battery. Then, the battery is removed and the capacitor is connected to an uncharged capacitor C2 of 8µF. The charge in C2 on equilibrium condition is µC. (Round off to the nearest integer)

[17 Mar 2021 Shift 2]
Q.137 Correct
Q.137 In-correct
Q.137 Unattempt
Four identical rectangular plates with length, I=2cm and breadth, b=‌
3
2
cm are arranged as shown in figure. The equivalent capacitance between A and C is ‌
xε0
d
. The value of x is .........
(Round off to the nearest integer)

[17 Mar 2021 Shift 1]
Four identical rectangular plates with length, I=2cm and breadth, b=‌
3
2
cm are arranged as shown in figure. The equivalent capacitance between A and C is ‌
xε0
d
. The value of x is .........
(Round off to the nearest integer)

[17 Mar 2021 Shift 1]
Q.138 Correct
Q.138 In-correct
Q.138 Unattempt
In a parallel plate capacitor set up, the plate area of capacitor is 2m2 and the plates are separated by 1m. If the space between the plates are filled with a dielectric material of thickness 0.5m and area 2m2 (see figure) the capacitance of the set-up will be ...... ε0. (Dielectric constant of the material =3.2 )
(Round off to the nearest integer)

[16 Mar 2021 Shift 2]
In a parallel plate capacitor set up, the plate area of capacitor is 2m2 and the plates are separated by 1m. If the space between the plates are filled with a dielectric material of thickness 0.5m and area 2m2 (see figure) the capacitance of the set-up will be ...... ε0. (Dielectric constant of the material =3.2 )
(Round off to the nearest integer)

[16 Mar 2021 Shift 2]
Q.139 Correct
Q.139 In-correct
Q.139 Unattempt
For changing the capacitance of a given parallel plate capacitor, a dielectric material of dielectric constant K is used, which has the same area as the plates of the capacitor. The thickness of the dielectric slab is ‌
3
4
d, where d is the separation between the plates of parallel plate capacitor. The new capacitance (C′) in terms of original capacitance (C0) is given by the following relation
[16 Mar 2021 Shift 1]
For changing the capacitance of a given parallel plate capacitor, a dielectric material of dielectric constant K is used, which has the same area as the plates of the capacitor. The thickness of the dielectric slab is ‌
3
4
d, where d is the separation between the plates of parallel plate capacitor. The new capacitance (C′) in terms of original capacitance (C0) is given by the following relation
[16 Mar 2021 Shift 1]
Q.140 Correct
Q.140 In-correct
Q.140 Unattempt
A simple pendulum of mass 'm', length 'l' and charge '+q' suspended in the electric field produced by two conducting parallel plates as shown. The value of deflection of pendulum in equilibrium position will be

[27 Jul 2021 Shift 2]
A simple pendulum of mass 'm', length 'l' and charge '+q' suspended in the electric field produced by two conducting parallel plates as shown. The value of deflection of pendulum in equilibrium position will be

[27 Jul 2021 Shift 2]
Q.141 Correct
Q.141 In-correct
Q.141 Unattempt
Two capacitors of capacities 2C and C are joined in parallel and charged up to potential V. The battery is removed and the capacitor of capacity C is filled completely with a medium of dielectric constant K. The potential difference across the capacitors will now be :
[27 Jul 2021 Shift 1]
Two capacitors of capacities 2C and C are joined in parallel and charged up to potential V. The battery is removed and the capacitor of capacity C is filled completely with a medium of dielectric constant K. The potential difference across the capacitors will now be :
[27 Jul 2021 Shift 1]
Q.142 Correct
Q.142 In-correct
Q.142 Unattempt
If qf is the free charge on the capacitor plates and qb is the bound charge on the dielectric slab of dielectric constant k placed between the capacitor plates, then bound charge qb can be expressed as :
[25 Jul 2021 Shift 2]
If qf is the free charge on the capacitor plates and qb is the bound charge on the dielectric slab of dielectric constant k placed between the capacitor plates, then bound charge qb can be expressed as :
[25 Jul 2021 Shift 2]
Q.143 Correct
Q.143 In-correct
Q.143 Unattempt
In the reported figure, a capacitor is formed by placing a compound dielectric between the plates of parallel plate capacitor. The expression for the capacity of the said capacitor will be :
(Given area of plate = A)

[27 Jul 2021 Shift 1]
In the reported figure, a capacitor is formed by placing a compound dielectric between the plates of parallel plate capacitor. The expression for the capacity of the said capacitor will be :
(Given area of plate = A)

[27 Jul 2021 Shift 1]
Q.144 Correct
Q.144 In-correct
Q.144 Unattempt
A parallel plate capacitor with plate area 'A' and distance of separation 'd' is filled with a dielectric. What is the capacity of the capacitor when permittivity of the dielectric varies as :
ε(x)=ε0+kx, for (0<x≤
d
2
)
ε(x)=ε0+k(d−x), for (
d
2
≤x≤d)
[25 Jul 2021 Shift 1]
A parallel plate capacitor with plate area 'A' and distance of separation 'd' is filled with a dielectric. What is the capacity of the capacitor when permittivity of the dielectric varies as :
ε(x)=ε0+kx, for (0<x≤
d
2
)
ε(x)=ε0+k(d−x), for (
d
2
≤x≤d)
[25 Jul 2021 Shift 1]
Q.145 Correct
Q.145 In-correct
Q.145 Unattempt
The average translational kinetic energy of N2 gas molecules at .......... °C becomes equal to the KE of an electron accelerated from rest through a potential difference of 0.1V.
[Given, KB=1.38×10−23J∕K]
[1 Sep 2021 Shift 2]
The average translational kinetic energy of N2 gas molecules at .......... °C becomes equal to the KE of an electron accelerated from rest through a potential difference of 0.1V.
[Given, KB=1.38×10−23J∕K]
[1 Sep 2021 Shift 2]
Q.146 Correct
Q.146 In-correct
Q.146 Unattempt
Effective capacitance of parallel combination of two capacitors C1 and C2 is 10 µF. When these capacitors are individually connected to a voltage source of 1 V, the energy stored in the capacitor C2 is 4 times that of C1 . If these capacitors are connected in series, their effective capacitance will be:
[8 Jan. 2020 I]
Effective capacitance of parallel combination of two capacitors C1 and C2 is 10 µF. When these capacitors are individually connected to a voltage source of 1 V, the energy stored in the capacitor C2 is 4 times that of C1 . If these capacitors are connected in series, their effective capacitance will be:
[8 Jan. 2020 I]
Q.147 Correct
Q.147 In-correct
Q.147 Unattempt
A capacitor is made of two square plates each of side ‘a’ making a very small angle a between them, as shown in figure. The capacitance will be close to:

[8 Jan. 2020 II]
A capacitor is made of two square plates each of side ‘a’ making a very small angle a between them, as shown in figure. The capacitance will be close to:

[8 Jan. 2020 II]
Q.148 Correct
Q.148 In-correct
Q.148 Unattempt
A parallel plate capacitor has plates of area A separated by distance ' d ' between them. It is filled with a dielectric which has a dielectric constant that varies as k(x)=K(1+ αx ) where ′x ' is the distance measured from one of the plates. If (αd)<<1, the total capacitance of the system is best given by the expression:

[7 Jan. 2020 I]
A parallel plate capacitor has plates of area A separated by distance ' d ' between them. It is filled with a dielectric which has a dielectric constant that varies as k(x)=K(1+ αx ) where ′x ' is the distance measured from one of the plates. If (αd)<<1, the total capacitance of the system is best given by the expression:

[7 Jan. 2020 I]
Q.149 Correct
Q.149 In-correct
Q.149 Unattempt
A 60 pF capacitor is fully charged by a 20 V supply. It is then disconnected from the supply and is connected to another uncharged 60 pF capacitor in parallel. The electrostatic energy that is lost in this process by the time the charge is redistributed between them is (in nJ)
[NA 7 Jan. 2020 II]
A 60 pF capacitor is fully charged by a 20 V supply. It is then disconnected from the supply and is connected to another uncharged 60 pF capacitor in parallel. The electrostatic energy that is lost in this process by the time the charge is redistributed between them is (in nJ)
[NA 7 Jan. 2020 II]
Q.150 Correct
Q.150 In-correct
Q.150 Unattempt
The parallel combination of two air filled parallel plate capacitors of capacitance C and nC is connected to a battery of voltage, V. When the capacitors are fully charged, the battery is removed and after that a dielectric material of dielectric constant K is placed between the two plates of the first capacitor. The new potential difference of the combined system is:
[9 April 2020 II]
The parallel combination of two air filled parallel plate capacitors of capacitance C and nC is connected to a battery of voltage, V. When the capacitors are fully charged, the battery is removed and after that a dielectric material of dielectric constant K is placed between the two plates of the first capacitor. The new potential difference of the combined system is:
[9 April 2020 II]
Q.151 Correct
Q.151 In-correct
Q.151 Unattempt
Ten charges are placed on the circumference of a circle of radius R with constant angular separation between successive charges. Alternate charges 1,3,5,7,9 have charge (+q) each, while 2,4,6,8,10 have charge (−q) each. The potential V and the electric field E at the centre of the circle are respectively :
(Take V=0 at infinity)
[Sep. 05,2020 (II)]
Ten charges are placed on the circumference of a circle of radius R with constant angular separation between successive charges. Alternate charges 1,3,5,7,9 have charge (+q) each, while 2,4,6,8,10 have charge (−q) each. The potential V and the electric field E at the centre of the circle are respectively :
(Take V=0 at infinity)
[Sep. 05,2020 (II)]
Q.152 Correct
Q.152 In-correct
Q.152 Unattempt
Two isolated conducting spheres S1 and S2 of radius
2
3
Rand
1
3
R have 12µC and −3µC charges, respectively, and are at a large distance from each other. They are now connected by a conducting wire. A long time after this is done the charges on S1 and S2 are respectively :
[Sep. 03, 2020 (I)]
Two isolated conducting spheres S1 and S2 of radius
2
3
Rand
1
3
R have 12µC and −3µC charges, respectively, and are at a large distance from each other. They are now connected by a conducting wire. A long time after this is done the charges on S1 and S2 are respectively :
[Sep. 03, 2020 (I)]
Q.153 Correct
Q.153 In-correct
Q.153 Unattempt
Concentric metallic hollow spheres of radii R and 4R hold charges Q1 and Q2 respectively. Given that surface charge densities of the concentric spheres are equal, the potential difference V(R)−V(4R) is:
[Sep. 03,2020 (II)]
Concentric metallic hollow spheres of radii R and 4R hold charges Q1 and Q2 respectively. Given that surface charge densities of the concentric spheres are equal, the potential difference V(R)−V(4R) is:
[Sep. 03,2020 (II)]
Q.154 Correct
Q.154 In-correct
Q.154 Unattempt
A charge Q is distributed over two concentric conducting thin spherical shells radii r and R(R>r) . If the surface charge densities on the two shells are equal, the electric potential at the common centre is :

[Sep. 02, 2020 (II)]
A charge Q is distributed over two concentric conducting thin spherical shells radii r and R(R>r) . If the surface charge densities on the two shells are equal, the electric potential at the common centre is :

[Sep. 02, 2020 (II)]
Q.155 Correct
Q.155 In-correct
Q.155 Unattempt
A solid sphere of radius R carries a charge Q + q distributed uniformly over its volume. A very small point like piece of it of mass m gets detached from the bottom of the sphere and falls down vertically under gravity. This piece carries charge q. If it acquires a speed v when it has fallen through a vertical height y (see figure), then : (assume the remaining portion to be spherical).

[Sep. 05, 2020 (I)]
A solid sphere of radius R carries a charge Q + q distributed uniformly over its volume. A very small point like piece of it of mass m gets detached from the bottom of the sphere and falls down vertically under gravity. This piece carries charge q. If it acquires a speed v when it has fallen through a vertical height y (see figure), then : (assume the remaining portion to be spherical).

[Sep. 05, 2020 (I)]
Q.156 Correct
Q.156 In-correct
Q.156 Unattempt
A two point charges 4q and −q are fixed on the x -axis at x=−
d
2
 and x=
d
2
, respectively. If a third point charge ' q ' is taken from the origin to x=d along the semicircle as shown in the figure, the energy of the charge will :

[Sep. 04, 2020 (I)]
A two point charges 4q and −q are fixed on the x -axis at x=−
d
2
 and x=
d
2
, respectively. If a third point charge ' q ' is taken from the origin to x=d along the semicircle as shown in the figure, the energy of the charge will :

[Sep. 04, 2020 (I)]
Q.157 Correct
Q.157 In-correct
Q.157 Unattempt
Hydrogen ion and singly ionized helium atom are accelerated, from rest, through the same potential difference. The ratio of final speeds of hydrogen and helium ions is close to :
[Sep. 03, 2020 (II)]
Hydrogen ion and singly ionized helium atom are accelerated, from rest, through the same potential difference. The ratio of final speeds of hydrogen and helium ions is close to :
[Sep. 03, 2020 (II)]
Q.158 Correct
Q.158 In-correct
Q.158 Unattempt
Two capacitors of capacitances C and 2C are charged to potential differences V and 2V, respectively. These are then connected in parallel in such a manner that the positive terminal of one is connected to the negative terminal of the other. The final energy of this configuration is :
[Sep. 05, 2020 (I)]
Two capacitors of capacitances C and 2C are charged to potential differences V and 2V, respectively. These are then connected in parallel in such a manner that the positive terminal of one is connected to the negative terminal of the other. The final energy of this configuration is :
[Sep. 05, 2020 (I)]
Q.159 Correct
Q.159 In-correct
Q.159 Unattempt
In the circuit shown, charge on the 5 µF capacitor is :

[Sep. 05, 2020 (II)]
In the circuit shown, charge on the 5 µF capacitor is :

[Sep. 05, 2020 (II)]
Q.160 Correct
Q.160 In-correct
Q.160 Unattempt
A capacitor C is fully charged with voltage V0. After disconnecting the voltage source, it is connected in parallel with another uncharged capacitor of capacitance
C
2
. The energy loss in the process after the charge is distributed between the two capacitors is :
[Sep. 04,2020 (II)]
A capacitor C is fully charged with voltage V0. After disconnecting the voltage source, it is connected in parallel with another uncharged capacitor of capacitance
C
2
. The energy loss in the process after the charge is distributed between the two capacitors is :
[Sep. 04,2020 (II)]
Q.161 Correct
Q.161 In-correct
Q.161 Unattempt
In the circuit shown in the figure, the total charge is 750µC and the voltage across capacitor C2 is 20V. Then the charge on capacitor C2 is :

[Sep. 03, 2020 (I)]
In the circuit shown in the figure, the total charge is 750µC and the voltage across capacitor C2 is 20V. Then the charge on capacitor C2 is :

[Sep. 03, 2020 (I)]
Q.162 Correct
Q.162 In-correct
Q.162 Unattempt
A 5µF capacitor is charged fully by a 220V supply. It is then disconnected from the supply and is connected in series to another uncharged 2.5µF capacitor. If the energy change during the charge redistribution is
X
100
 J then value of X to the nearest integer is ______.
[NA Sep. 02, 2020 (I)]
A 5µF capacitor is charged fully by a 220V supply. It is then disconnected from the supply and is connected in series to another uncharged 2.5µF capacitor. If the energy change during the charge redistribution is
X
100
 J then value of X to the nearest integer is ______.
[NA Sep. 02, 2020 (I)]
Q.163 Correct
Q.163 In-correct
Q.163 Unattempt
A 10 µF capacitor is fully charged to a potential difference of 50 V. After removing the source voltage it is connected to an uncharged capacitor in parallel. Now the potential difference across them becomes 20 V. The capacitance of the second capacitor is :
[Sep. 02, 2020 (II)]
A 10 µF capacitor is fully charged to a potential difference of 50 V. After removing the source voltage it is connected to an uncharged capacitor in parallel. Now the potential difference across them becomes 20 V. The capacitance of the second capacitor is :
[Sep. 02, 2020 (II)]
Q.164 Correct
Q.164 In-correct
Q.164 Unattempt
Two electric dipoles, A,B with respective dipole moments
→
d
A=−4 qa
^
i
 and
→
d
B=−2 qa
^
i
 are placed on the x -axis with a separation R, as shown in the figure
The distance from A at which both of them produce the same potential is :
[10 Jan. 2019 I]
Two electric dipoles, A,B with respective dipole moments
→
d
A=−4 qa
^
i
 and
→
d
B=−2 qa
^
i
 are placed on the x -axis with a separation R, as shown in the figure

The distance from A at which both of them produce the same potential is :
[10 Jan. 2019 I]
Q.165 Correct
Q.165 In-correct
Q.165 Unattempt
The electric field in a region is given by
→
E
=(Ax+B)
^
i
 where E is in NC−1 and x is in metres. The values of constants are A=20SI unit and B=10SI unit. If the potential at x=1 is V1 and that at x=−5 is V2, then V1−V2 is :
[8 Jan. 2019 II]
The electric field in a region is given by
→
E
=(Ax+B)
^
i
 where E is in NC−1 and x is in metres. The values of constants are A=20SI unit and B=10SI unit. If the potential at x=1 is V1 and that at x=−5 is V2, then V1−V2 is :
[8 Jan. 2019 II]
Q.166 Correct
Q.166 In-correct
Q.166 Unattempt
The given graph shows variation (with distance r from centre ) of :

[11 Jan. 2019 I]
The given graph shows variation (with distance r from centre ) of :

[11 Jan. 2019 I]
Q.167 Correct
Q.167 In-correct
Q.167 Unattempt
A charge Q is distributed over three concentric spherical shells of radii a,b,c(a<b<c) such that their surface charge densities are equal to one another. The total potential at a point at distance r from their common centre, where r<a, would be:
[10 Jan. 2019 I]
A charge Q is distributed over three concentric spherical shells of radii a,b,c(a<b<c) such that their surface charge densities are equal to one another. The total potential at a point at distance r from their common centre, where r<a, would be:
[10 Jan. 2019 I]
Q.168 Correct
Q.168 In-correct
Q.168 Unattempt
Consider two charged metallic spheres S1 and S2 of radii R1 and R2, respectively. The electric fields E1( on S1) and E2( on S2) on their surfaces are such that E1∕E2=R1∕R2 Then the ratio V1(on S1)∕V2( on S2) of the electrostatic potentials on each sphere is:
[8 Jan. 2019 II]
Consider two charged metallic spheres S1 and S2 of radii R1 and R2, respectively. The electric fields E1( on S1) and E2( on S2) on their surfaces are such that E1∕E2=R1∕R2 Then the ratio V1(on S1)∕V2( on S2) of the electrostatic potentials on each sphere is:
[8 Jan. 2019 II]
Q.169 Correct
Q.169 In-correct
Q.169 Unattempt
There is a uniform spherically symmetric surface charge density at a distance Ro from the origin. The charge distribution is initially at rest and starts expanding because of mutual repulsion. The figure that represents best the speed V (R(t)) of the distribution as a function of its instantaneous radius R(t) is:
[12 Jan. 2019 I]
There is a uniform spherically symmetric surface charge density at a distance Ro from the origin. The charge distribution is initially at rest and starts expanding because of mutual repulsion. The figure that represents best the speed V (R(t)) of the distribution as a function of its instantaneous radius R(t) is:
[12 Jan. 2019 I]
Q.170 Correct
Q.170 In-correct
Q.170 Unattempt
Three charges Q, + q and + q are placed at the vertices of a right-angle isosceles triangle as shown below. The net electrostatic energy of the configuration is zero, if the value of Q is :

[11 Jan. 2019 I]
Three charges Q, + q and + q are placed at the vertices of a right-angle isosceles triangle as shown below. The net electrostatic energy of the configuration is zero, if the value of Q is :

[11 Jan. 2019 I]
Q.171 Correct
Q.171 In-correct
Q.171 Unattempt
Four equal point charges Q each are placed in the xy plane at (0, 2), (4, 2), (4, – 2) and (0, – 2). The work required to put a fifth charge Q at the origin of the coordinate system will be:
[10 Jan. 2019 II]
Four equal point charges Q each are placed in the xy plane at (0, 2), (4, 2), (4, – 2) and (0, – 2). The work required to put a fifth charge Q at the origin of the coordinate system will be:
[10 Jan. 2019 II]
Q.172 Correct
Q.172 In-correct
Q.172 Unattempt
In the figure shown, after the switch ‘S’ is turned from position ‘A’ to position ‘B’, the energy dissipated in the circuit in terms of capacitance ‘C’ and total charge ‘Q’ is:

[12 Jan. 2019 I]
In the figure shown, after the switch ‘S’ is turned from position ‘A’ to position ‘B’, the energy dissipated in the circuit in terms of capacitance ‘C’ and total charge ‘Q’ is:

[12 Jan. 2019 I]
Q.173 Correct
Q.173 In-correct
Q.173 Unattempt
A parallel plate capacitor with plates of area 1m2 each, are at a separation of 0.1m. If the electric field between the plates is 100N∕C, the magnitude of charge on each plate is :
(Take∈0=8.85×10−12
C2
N−M2
)
[12 Jan. 2019 II]
A parallel plate capacitor with plates of area 1m2 each, are at a separation of 0.1m. If the electric field between the plates is 100N∕C, the magnitude of charge on each plate is :
(Take∈0=8.85×10−12
C2
N−M2
)
[12 Jan. 2019 II]
Q.174 Correct
Q.174 In-correct
Q.174 Unattempt
In the circuit shown, find C if the effective capacitance of the whole circuit is to be 0.5 µF. All values in the circuit are in µF

[12 Jan. 2019 II]
In the circuit shown, find C if the effective capacitance of the whole circuit is to be 0.5 µF. All values in the circuit are in µF

[12 Jan. 2019 II]
Q.175 Correct
Q.175 In-correct
Q.175 Unattempt
In the figure shown below, the charge on the left plate of the 10 µF capacitor is –30µC. The charge on the right plate of the 6µF capacitor is :

[11 Jan. 2019 I]
In the figure shown below, the charge on the left plate of the 10 µF capacitor is –30µC. The charge on the right plate of the 6µF capacitor is :

[11 Jan. 2019 I]
Q.176 Correct
Q.176 In-correct
Q.176 Unattempt
Seven capacitors, each of capacitance 2µF, are to be connected in a configuration to obtain an effective capacitance of (
6
13
)µF. Which of the combinations, shown in figures below, will achieve the desired value?
[11 Jan. 2019 II]
Seven capacitors, each of capacitance 2µF, are to be connected in a configuration to obtain an effective capacitance of (
6
13
)µF. Which of the combinations, shown in figures below, will achieve the desired value?
[11 Jan. 2019 II]
Q.177 Correct
Q.177 In-correct
Q.177 Unattempt
A parallel plate capacitor having capacitance 12 pF is charged by a battery to a potential difference of 10 V between its plates. The charging battery is now disconnected and a porcelain slab of dielectric constant 6.5 is slipped between the plates. The work done by the capacitor on the slab is:
[10 Jan. 2019 II]
A parallel plate capacitor having capacitance 12 pF is charged by a battery to a potential difference of 10 V between its plates. The charging battery is now disconnected and a porcelain slab of dielectric constant 6.5 is slipped between the plates. The work done by the capacitor on the slab is:
[10 Jan. 2019 II]
Q.178 Correct
Q.178 In-correct
Q.178 Unattempt
A parallel plate capacitor is of area 6cm2 and a separation 3mm. The gap is filled with three dielectric materials of equal thickness (see figure) with dielectric constants K1=10,K2=12 and K3=1(4) The dielectric constant of a material which when fully inserted in above capacitor, gives same capacitance would be:

[10 Jan. 2019 I]
A parallel plate capacitor is of area 6cm2 and a separation 3mm. The gap is filled with three dielectric materials of equal thickness (see figure) with dielectric constants K1=10,K2=12 and K3=1(4) The dielectric constant of a material which when fully inserted in above capacitor, gives same capacitance would be:

[10 Jan. 2019 I]
Q.179 Correct
Q.179 In-correct
Q.179 Unattempt
A parallel plate capacitor is made of two square plates of side ‘a’, separated by a distance d (d < < a). The lower triangular portion is filled with a dielectric of dielectric constant K, as shown in the figure. Capacitance of this capacitor is:

[9 Jan. 2019 I]
A parallel plate capacitor is made of two square plates of side ‘a’, separated by a distance d (d < < a). The lower triangular portion is filled with a dielectric of dielectric constant K, as shown in the figure. Capacitance of this capacitor is:

[9 Jan. 2019 I]
Q.180 Correct
Q.180 In-correct
Q.180 Unattempt
A parallel plate capacitor with square plates is filled with four dielectrics of dielectric constants K1,K2,K3,K4 arranged as shown in the figure. The effective dielectric constant K will be:

[9 Jan. 2019 II]
A parallel plate capacitor with square plates is filled with four dielectrics of dielectric constants K1,K2,K3,K4 arranged as shown in the figure. The effective dielectric constant K will be:

[9 Jan. 2019 II]
Q.181 Correct
Q.181 In-correct
Q.181 Unattempt
A point dipole =
→
p
−po
^
x
 kept at the origin. The potential and electric field due to this dipole on the y-axis at a distance d are, respectively : (Take V = 0 at infinity)
[12 April 2019 I]
A point dipole =
→
p
−po
^
x
 kept at the origin. The potential and electric field due to this dipole on the y-axis at a distance d are, respectively : (Take V = 0 at infinity)
[12 April 2019 I]
Q.182 Correct
Q.182 In-correct
Q.182 Unattempt
A uniformly charged ring of radius 3a and total charge q is placed in xy-plane centred at origin. A point charge q is moving towards the ring along the z-axis and has speed v at z = 4a. The minimum value of v such that it crosses the origin is :
[10 April 2019 I]
A uniformly charged ring of radius 3a and total charge q is placed in xy-plane centred at origin. A point charge q is moving towards the ring along the z-axis and has speed v at z = 4a. The minimum value of v such that it crosses the origin is :
[10 April 2019 I]
Q.183 Correct
Q.183 In-correct
Q.183 Unattempt
A solid conducting sphere, having a charge Q, is surrounded by an uncharged conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be V. If the shell is now given a charge of – 4 Q, the new potential difference between the same two surfaces is :
[8 April 2019 I]
A solid conducting sphere, having a charge Q, is surrounded by an uncharged conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be V. If the shell is now given a charge of – 4 Q, the new potential difference between the same two surfaces is :
[8 April 2019 I]
Q.184 Correct
Q.184 In-correct
Q.184 Unattempt
In free space, a particle A of charge 1 µC is held fixed at a point P. Another particle B of the same charge and mass 4 mg is kept at a distance of 1 mm from P. If B is released, then its velocity at a distance of 9 mm from P is : [Take‌
1
4πε0
=9×109Nm2C−2]
[10 April 2019 II]
In free space, a particle A of charge 1 µC is held fixed at a point P. Another particle B of the same charge and mass 4 mg is kept at a distance of 1 mm from P. If B is released, then its velocity at a distance of 9 mm from P is : [Take‌
1
4πε0
=9×109Nm2C−2]
[10 April 2019 II]
Q.185 Correct
Q.185 In-correct
Q.185 Unattempt
A system of three charges are placed as shown in the figure:

If D > > d, the potential energy of the system is best given by
[9 April 2019 I]
A system of three charges are placed as shown in the figure:

If D > > d, the potential energy of the system is best given by
[9 April 2019 I]
Q.186 Correct
Q.186 In-correct
Q.186 Unattempt
A positive point charge is released from rest at a distance r0 from a positive line charge with uniform density. The speed (v) of the point charge, as a function of instantaneous distance r from line charge, is proportional to :

[8 April 2019 II]
A positive point charge is released from rest at a distance r0 from a positive line charge with uniform density. The speed (v) of the point charge, as a function of instantaneous distance r from line charge, is proportional to :

[8 April 2019 II]
Q.187 Correct
Q.187 In-correct
Q.187 Unattempt
Two identical parallel plate capacitors, of capacitance C each, have plates of area A, separated by a distance d. The space between the plates of the two capacitors, is filled with three dielectrics, of equal thickness and dielectric constants K1,K2 and K3. The first capacitors is filled as shown in Fig. I, and the second one is filled as shown in Fig. II.
If these two modified capacitors are charged by the same potential V, the ratio of the energy stored in the two, would be (E1. refers to capacitors (I) and E2 to capacitors (II):

[12 April 2019 I]
Two identical parallel plate capacitors, of capacitance C each, have plates of area A, separated by a distance d. The space between the plates of the two capacitors, is filled with three dielectrics, of equal thickness and dielectric constants K1,K2 and K3. The first capacitors is filled as shown in Fig. I, and the second one is filled as shown in Fig. II.
If these two modified capacitors are charged by the same potential V, the ratio of the energy stored in the two, would be (E1. refers to capacitors (I) and E2 to capacitors (II):

[12 April 2019 I]
Q.188 Correct
Q.188 In-correct
Q.188 Unattempt
In the given circuit, the charge on 4 µF capacitor will be :

[12 April 2019 II]
In the given circuit, the charge on 4 µF capacitor will be :

[12 April 2019 II]
Q.189 Correct
Q.189 In-correct
Q.189 Unattempt
Figure shows charge (q) versus voltage (V) graph for series and parallel combination of two given capacitors.
The capacitances are :

[10 April 2019 I]
Figure shows charge (q) versus voltage (V) graph for series and parallel combination of two given capacitors.
The capacitances are :

[10 April 2019 I]
Q.190 Correct
Q.190 In-correct
Q.190 Unattempt
A capacitor with capacitance 5µF is charged to 5 µC. If the plates are pulled apart to reduce the capacitance to 2
1
4
F , how much work is done?
[9 April 2019 I]
A capacitor with capacitance 5µF is charged to 5 µC. If the plates are pulled apart to reduce the capacitance to 2
1
4
F , how much work is done?
[9 April 2019 I]
Q.191 Correct
Q.191 In-correct
Q.191 Unattempt
Voltage rating of a parallel plate capacitor is 500 V. Its dielectric can withstand a maximum electric field of 106 V/m. The plate area is 10–4m2 . What is the dielectric constant if the capacitance is 15 pF ?
(given‌"0=8.86×10–12C2∕Nm2)
[8 April 2019 I]
Voltage rating of a parallel plate capacitor is 500 V. Its dielectric can withstand a maximum electric field of 106 V/m. The plate area is 10–4m2 . What is the dielectric constant if the capacitance is 15 pF ?
(given‌"0=8.86×10–12C2∕Nm2)
[8 April 2019 I]
Q.192 Correct
Q.192 In-correct
Q.192 Unattempt
A parallel plate capacitor has 1µF capacitance. One of its two plates is given + 2µC charge and the other plate, +4µC charge. The potential difference developed across the capacitor is :
[8 April 2019 II]
A parallel plate capacitor has 1µF capacitance. One of its two plates is given + 2µC charge and the other plate, +4µC charge. The potential difference developed across the capacitor is :
[8 April 2019 II]
Q.193 Correct
Q.193 In-correct
Q.193 Unattempt
Three concentric metal shells A, B and C of respective radii a, b and c (a < b < c) have surface charge densities +σ,–σ‌and+σ respectively. The potential of shell B is:
[2018]
Three concentric metal shells A, B and C of respective radii a, b and c (a < b < c) have surface charge densities +σ,–σ‌and+σ respectively. The potential of shell B is:
[2018]
Q.194 Correct
Q.194 In-correct
Q.194 Unattempt
A parallel plate capacitor of capacitance 90 pF is connected to a battery of emf 20V. If a dielectric material of dielectric constant k=
5
3
 is inserted between the plates, the magnitude of the induced charge will be:
[2018]
A parallel plate capacitor of capacitance 90 pF is connected to a battery of emf 20V. If a dielectric material of dielectric constant k=
5
3
 is inserted between the plates, the magnitude of the induced charge will be:
[2018]
Q.195 Correct
Q.195 In-correct
Q.195 Unattempt
In the following circuit, the switch S is closed at t = 0. The charge on the capacitor C1 as a function of time will be given by (Ceq=
C1C2
C1+C2
)

[Online April 16, 2018]
In the following circuit, the switch S is closed at t = 0. The charge on the capacitor C1 as a function of time will be given by (Ceq=
C1C2
C1+C2
)

[Online April 16, 2018]
Q.196 Correct
Q.196 In-correct
Q.196 Unattempt
The equivalent capacitance between A and B in the circuit given below is:

[Online April 15, 2018]
The equivalent capacitance between A and B in the circuit given below is:

[Online April 15, 2018]
Q.197 Correct
Q.197 In-correct
Q.197 Unattempt
A parallel plate capacitor with area 200cm2 and separation between the plates 1.5cm, is connected across a battery of emfV. If the force of attraction between the plates is 25×10− ‌6N, the value of V is approximately.
(ε0=8.85×10−12
C2
N.m2
)
[Online April 15, 2018]
A parallel plate capacitor with area 200cm2 and separation between the plates 1.5cm, is connected across a battery of emfV. If the force of attraction between the plates is 25×10− ‌6N, the value of V is approximately.
(ε0=8.85×10−12
C2
N.m2
)
[Online April 15, 2018]
Q.198 Correct
Q.198 In-correct
Q.198 Unattempt
A capacitor C1 is charged up to a voltage V=60V by connecting it to battery B through switch (1), Now C1 is disconnected from battery and connected to a circuit consisting of two uncharged capacitors C2=3.0µF and C3= 6.0µF through a switch (2) as shown in the figure. The sum of final charges on C2 and C3 is:

[Online April 15, 2018]
A capacitor C1 is charged up to a voltage V=60V by connecting it to battery B through switch (1), Now C1 is disconnected from battery and connected to a circuit consisting of two uncharged capacitors C2=3.0µF and C3= 6.0µF through a switch (2) as shown in the figure. The sum of final charges on C2 and C3 is:

[Online April 15, 2018]
Q.199 Correct
Q.199 In-correct
Q.199 Unattempt
There is a uniform electrostatic field in a region. The potential at various points on a small sphere centred at P, in the region, is found to vary between in the limits 589.0 V to 589.8 V. What is the potential at a point on the sphere whose radius vector makes an angle of 60° with the direction of the field ?
[Online April 8, 2017]
There is a uniform electrostatic field in a region. The potential at various points on a small sphere centred at P, in the region, is found to vary between in the limits 589.0 V to 589.8 V. What is the potential at a point on the sphere whose radius vector makes an angle of 60° with the direction of the field ?
[Online April 8, 2017]
Q.200 Correct
Q.200 In-correct
Q.200 Unattempt
A capacitance of 2 µF is required in an electrical circuit across a potential difference of 1.0 kV. A large number of 1 µF capacitors are available which can withstand a potential difference of not more than 300 V. The minimum number of capacitors required to achieve this is
[2017]
A capacitance of 2 µF is required in an electrical circuit across a potential difference of 1.0 kV. A large number of 1 µF capacitors are available which can withstand a potential difference of not more than 300 V. The minimum number of capacitors required to achieve this is
[2017]
Q.201 Correct
Q.201 In-correct
Q.201 Unattempt
A combination of parallel plate capacitors is maintained at a certain potential difference.

When a 3 mm thick slab is introduced between all the plates, in order to maintain the same potential difference, the distance between the plates is increased by 2.4 mm. Find the dielectric constant of the slab.
[Online April 9, 2017]
A combination of parallel plate capacitors is maintained at a certain potential difference.

When a 3 mm thick slab is introduced between all the plates, in order to maintain the same potential difference, the distance between the plates is increased by 2.4 mm. Find the dielectric constant of the slab.
[Online April 9, 2017]
Q.202 Correct
Q.202 In-correct
Q.202 Unattempt
The energy stored in the electric field produced by a metal sphere is 4.5 J. If the sphere contains 4 µC charge, its radius will be : [Take :
1
4πε0
=9×109N−m2∕C2]
[Online April 8, 2017]
The energy stored in the electric field produced by a metal sphere is 4.5 J. If the sphere contains 4 µC charge, its radius will be : [Take :
1
4πε0
=9×109N−m2∕C2]
[Online April 8, 2017]
Q.203 Correct
Q.203 In-correct
Q.203 Unattempt
Within a spherical charge distribution of charge density ρ(r),N equipotential surfaces of potential V0,V0+ΔV,V0+2ΔV,........V0+NΔV(ΔV>0), are drawn and have increasing radii r0,r1,r2,.........rN, respectively. If the difference in the radii of the surfaces is constant for all values of V0 and ΔV then :
[Online April 10, 2016]
Within a spherical charge distribution of charge density ρ(r),N equipotential surfaces of potential V0,V0+ΔV,V0+2ΔV,........V0+NΔV(ΔV>0), are drawn and have increasing radii r0,r1,r2,.........rN, respectively. If the difference in the radii of the surfaces is constant for all values of V0 and ΔV then :
[Online April 10, 2016]
Q.204 Correct
Q.204 In-correct
Q.204 Unattempt
The potential (in volts) of a charge distribution is given by
V(z)=30−5z2 for |z|≤1m
V(z)=35−10|z| for |z|≥1m
V(z) does not depend on x and y. If this potential is generated by a constant charge per unit volume ρ0 (in units of ε0 ) which is spread over a certain region, then choose the correct statement.
[Online April 9, 2016]
The potential (in volts) of a charge distribution is given by
V(z)=30−5z2 for |z|≤1m
V(z)=35−10|z| for |z|≥1m
V(z) does not depend on x and y. If this potential is generated by a constant charge per unit volume ρ0 (in units of ε0 ) which is spread over a certain region, then choose the correct statement.
[Online April 9, 2016]
Q.205 Correct
Q.205 In-correct
Q.205 Unattempt
A combination of capacitors is set up as shown in the figure. The magnitude of the electric field, due to a point charge Q (having a charge equal to the sum of the charges on the 4 µF and 9 µF capacitors), at a point distance 30 m from it, would equal :

[2016]
A combination of capacitors is set up as shown in the figure. The magnitude of the electric field, due to a point charge Q (having a charge equal to the sum of the charges on the 4 µF and 9 µF capacitors), at a point distance 30 m from it, would equal :

[2016]
Q.206 Correct
Q.206 In-correct
Q.206 Unattempt
Figure shows a network of capacitors where the numbers indicates capacitances in micro Farad. The value of capacitance C if the equivalent capacitance between point A and B is to be 1 µF is :

[Online April 10, 2016]
Figure shows a network of capacitors where the numbers indicates capacitances in micro Farad. The value of capacitance C if the equivalent capacitance between point A and B is to be 1 µF is :

[Online April 10, 2016]
Q.207 Correct
Q.207 In-correct
Q.207 Unattempt
Three capacitors each of 4 µF are to be connected in such a way that the effective capacitance is 6µF. This can be done by connecting them :
[Online April 9, 2016]
Three capacitors each of 4 µF are to be connected in such a way that the effective capacitance is 6µF. This can be done by connecting them :
[Online April 9, 2016]
Q.208 Correct
Q.208 In-correct
Q.208 Unattempt
A uniformly charged solid sphere of radius R has potentia! V0 (measured with respect to ∞ ) on its surface. For this sphere the equipotential surfaces with potentials
3V0
2
,
5V0
4
,
3V0
4
 and
V0
4
 have radius R1,R2,R3 and R4 respectively. Then
[2015]
A uniformly charged solid sphere of radius R has potentia! V0 (measured with respect to ∞ ) on its surface. For this sphere the equipotential surfaces with potentials
3V0
2
,
5V0
4
,
3V0
4
 and
V0
4
 have radius R1,R2,R3 and R4 respectively. Then
[2015]
Q.209 Correct
Q.209 In-correct
Q.209 Unattempt
An electric field
→
E
=(25
^
i
+30
^
j
)NC−1 exists in a region of space. If the potential at the origin is taken to be zero then the potential at x=2m,y=2m is:
[Online April 11, 2015]
An electric field
→
E
=(25
^
i
+30
^
j
)NC−1 exists in a region of space. If the potential at the origin is taken to be zero then the potential at x=2m,y=2m is:
[Online April 11, 2015]
Q.210 Correct
Q.210 In-correct
Q.210 Unattempt
In the given circuit, charge Q2 on the 2µF capacitor changes as C is varied from 1µF to 3µF. Q2 as a function of 'C' is given properly by: (figures are drawn schematically and are not to scale)

[2015]
In the given circuit, charge Q2 on the 2µF capacitor changes as C is varied from 1µF to 3µF. Q2 as a function of 'C' is given properly by: (figures are drawn schematically and are not to scale)

[2015]
Q.211 Correct
Q.211 In-correct
Q.211 Unattempt
In figure a system of four capacitors connected across a 10 V battery is shown. Charge that will flow from switch S when it is closed is :

[Online April 11, 2015]
In figure a system of four capacitors connected across a 10 V battery is shown. Charge that will flow from switch S when it is closed is :

[Online April 11, 2015]
Q.212 Correct
Q.212 In-correct
Q.212 Unattempt
Assume that an electric field
→
E
=30x2
^
i
 exists in space. Then the potential difference VA−VO, where VO is the potential at the origin and VA the potential at x=2m is:
[2014]
Assume that an electric field
→
E
=30x2
^
i
 exists in space. Then the potential difference VA−VO, where VO is the potential at the origin and VA the potential at x=2m is:
[2014]
Q.213 Correct
Q.213 In-correct
Q.213 Unattempt
A parallel plate capacitor is made of two circular plates separated by a distance 5mm and with a dielectric of dialectric constant 2.2 between them. When the electric field in the dielectric is 3×104V∕m the charge density of the positive plate will be close to:
[2014]
A parallel plate capacitor is made of two circular plates separated by a distance 5mm and with a dielectric of dialectric constant 2.2 between them. When the electric field in the dielectric is 3×104V∕m the charge density of the positive plate will be close to:
[2014]
Q.214 Correct
Q.214 In-correct
Q.214 Unattempt
The gap between the plates of a parallel plate capacitor of area A and distance between plates d, is filled with a dielectric whose permittivity varies linearly from ∈1 at one plate to ∈2 at the other. The capacitance of capacitor is:
[Online April 19, 2014]
The gap between the plates of a parallel plate capacitor of area A and distance between plates d, is filled with a dielectric whose permittivity varies linearly from ∈1 at one plate to ∈2 at the other. The capacitance of capacitor is:
[Online April 19, 2014]
Q.215 Correct
Q.215 In-correct
Q.215 Unattempt
The space between the plates of a parallel plate capacitor is filled with a 'dielectric' whose 'dielectric constant' varies with distance as per the relation:
K(x)=Ko+λx(λ=a constant )
The capacitance C, of the capacitor, would be related to its vacuum capacitance C0 for the relation :
[Online April 12, 2014]
The space between the plates of a parallel plate capacitor is filled with a 'dielectric' whose 'dielectric constant' varies with distance as per the relation:
K(x)=Ko+λx(λ=a constant )
The capacitance C, of the capacitor, would be related to its vacuum capacitance C0 for the relation :
[Online April 12, 2014]
Q.216 Correct
Q.216 In-correct
Q.216 Unattempt
A parallel plate capacitor is made of two plates of length 1 width w and separated by distance d. A dielectric slab (dielectric constant K ) that fits exactly between the plates is held near the edge of the plates. It is pulled into the capacitor by a force F=−
𝜕U
𝜕x
 where U is the energy of the capacitor when dielectric is inside the capacitor up to distance x (See figure). If the charge on the capacitor is Q then the force on the dielectric when it is near the edge is :

[Online April 11, 2014]
A parallel plate capacitor is made of two plates of length 1 width w and separated by distance d. A dielectric slab (dielectric constant K ) that fits exactly between the plates is held near the edge of the plates. It is pulled into the capacitor by a force F=−
𝜕U
𝜕x
 where U is the energy of the capacitor when dielectric is inside the capacitor up to distance x (See figure). If the charge on the capacitor is Q then the force on the dielectric when it is near the edge is :

[Online April 11, 2014]
Q.217 Correct
Q.217 In-correct
Q.217 Unattempt
Three capacitors, each of 3 µF, are provided. These cannot be combined to provide the resultant capacitance of:
[Online April 9, 2014]
Three capacitors, each of 3 µF, are provided. These cannot be combined to provide the resultant capacitance of:
[Online April 9, 2014]
Q.218 Correct
Q.218 In-correct
Q.218 Unattempt
Consider a finite insulated, uncharged conductor placed near a finite positively charged conductor. The uncharged body must have a potential :
[Online April 23, 2013]
Consider a finite insulated, uncharged conductor placed near a finite positively charged conductor. The uncharged body must have a potential :
[Online April 23, 2013]
Q.219 Correct
Q.219 In-correct
Q.219 Unattempt
Two small equal point charges of magnitude q are suspended from a common point on the ceiling by insulating mass less strings of equal lengths. They come to equilibrium with each string making angle θ from the vertical. If the mass of each charge is m, then the electrostatic potential at the centre of line joining them will be (
1
4π∈0
=k)
[Online April 22, 2013]
Two small equal point charges of magnitude q are suspended from a common point on the ceiling by insulating mass less strings of equal lengths. They come to equilibrium with each string making angle θ from the vertical. If the mass of each charge is m, then the electrostatic potential at the centre of line joining them will be (
1
4π∈0
=k)
[Online April 22, 2013]
Q.220 Correct
Q.220 In-correct
Q.220 Unattempt
A point charge of magnitude + 1 µC is fixed at (0, 0, 0). An isolated uncharged spherical conductor, is fixed with its center at (4, 0, 0). The potential and the induced electric field at the centre of the sphere is :
[Online April 22, 2013]
A point charge of magnitude + 1 µC is fixed at (0, 0, 0). An isolated uncharged spherical conductor, is fixed with its center at (4, 0, 0). The potential and the induced electric field at the centre of the sphere is :
[Online April 22, 2013]
Q.221 Correct
Q.221 In-correct
Q.221 Unattempt
Statement 1 : No work is required to be done to move a test charge between any two points on an equipotential surface.
Statement 2 : Electric lines of force at the equipotential surfaces are mutually perpendicular to each other.
[Online April 25, 2013]
Statement 1 : No work is required to be done to move a test charge between any two points on an equipotential surface.
Statement 2 : Electric lines of force at the equipotential surfaces are mutually perpendicular to each other.
[Online April 25, 2013]
Q.222 Correct
Q.222 In-correct
Q.222 Unattempt
A parallel plate capacitor having a separation between the plates d, plate area A and material with dielectric constant K has capacitance C0 . Now one-third of the material is replaced by another material with dielectric constant 2K, so that effectively there are two capacitors one with area
1
3
A, dielectric constant 2K and another with area
2
3
A and dielectric constant K. If the capacitance of this new capacitor is C then
C
C0
 is
[Online April 25, 2013]
A parallel plate capacitor having a separation between the plates d, plate area A and material with dielectric constant K has capacitance C0 . Now one-third of the material is replaced by another material with dielectric constant 2K, so that effectively there are two capacitors one with area
1
3
A, dielectric constant 2K and another with area
2
3
A and dielectric constant K. If the capacitance of this new capacitor is C then
C
C0
 is
[Online April 25, 2013]
Q.223 Correct
Q.223 In-correct
Q.223 Unattempt
To establish an instantaneous current of 2 A through a 1 µF capacitor ; the potential difference across the capacitor plates should be changed at the rate of :
[Online April 22, 2013]
To establish an instantaneous current of 2 A through a 1 µF capacitor ; the potential difference across the capacitor plates should be changed at the rate of :
[Online April 22, 2013]
Q.224 Correct
Q.224 In-correct
Q.224 Unattempt
A uniform electric field
→
E
 exists between the plates of a charged condenser. A charged particle enters the space between the plates and perpendicular to
→
E
 . The path of the particle between the plates is a :
[Online April 9, 2013]
A uniform electric field
→
E
 exists between the plates of a charged condenser. A charged particle enters the space between the plates and perpendicular to
→
E
 . The path of the particle between the plates is a :
[Online April 9, 2013]
Q.225 Correct
Q.225 In-correct
Q.225 Unattempt
A charge of total amount Q is distributed over two concentric hollow spheres of radii r and R (R > r) such that the surface charge densities on the two spheres are equal. The electric potential at the common centre is
[Online May 19, 2012]
A charge of total amount Q is distributed over two concentric hollow spheres of radii r and R (R > r) such that the surface charge densities on the two spheres are equal. The electric potential at the common centre is
[Online May 19, 2012]
Q.226 Correct
Q.226 In-correct
Q.226 Unattempt
The electric potential V(x) in a region around the origin is given by V(x)=4x2 volts. The electric charge enclosed in a cube of 1m side with its centre at the origin is (in coulomb)
[Online May 7, 2012]
The electric potential V(x) in a region around the origin is given by V(x)=4x2 volts. The electric charge enclosed in a cube of 1m side with its centre at the origin is (in coulomb)
[Online May 7, 2012]
Q.227 Correct
Q.227 In-correct
Q.227 Unattempt
An insulating solid sphere of radius R has a uniformly positive charge density ρ . As a result of this uniform charge distribution there is a finite value of electric potential at the centre of the sphere, at the surface of the sphere and also at a point outside the sphere. The electric potential at infinite is zero.
Statement -1 When a charge q is taken from the centre to the surface of the sphere its potential energy changes by
qρ
3ε0
.
Statement -2 The electric field at a distance r(r<R) from the centre of the sphere is
ρr
3ε0
.
[2012]
An insulating solid sphere of radius R has a uniformly positive charge density ρ . As a result of this uniform charge distribution there is a finite value of electric potential at the centre of the sphere, at the surface of the sphere and also at a point outside the sphere. The electric potential at infinite is zero.
Statement -1 When a charge q is taken from the centre to the surface of the sphere its potential energy changes by
qρ
3ε0
.
Statement -2 The electric field at a distance r(r<R) from the centre of the sphere is
ρr
3ε0
.
[2012]
Q.228 Correct
Q.228 In-correct
Q.228 Unattempt
The figure shows an experimental plot discharging of a capacitor in an RC circuit. The time constant τ of this circuit lies between :

[2012]
The figure shows an experimental plot discharging of a capacitor in an RC circuit. The time constant τ of this circuit lies between :

[2012]
Q.229 Correct
Q.229 In-correct
Q.229 Unattempt
The capacitor of an oscillatory circuit is enclosed in a container. When the container is evacuated, the resonance frequency of the circuit is 10 kHz. When the container is filled with a gas, the resonance frequency changes by 50 Hz. The dielectric constant of the gas is
[Online May 26, 2012]
The capacitor of an oscillatory circuit is enclosed in a container. When the container is evacuated, the resonance frequency of the circuit is 10 kHz. When the container is filled with a gas, the resonance frequency changes by 50 Hz. The dielectric constant of the gas is
[Online May 26, 2012]
Q.230 Correct
Q.230 In-correct
Q.230 Unattempt
Statement 1: It is not possible to make a sphere of capacity 1 farad using a conducting material.
Statement 2: It is possible for earth as its radius is 6.4×106 m.
[Online May 26, 2012]
Statement 1: It is not possible to make a sphere of capacity 1 farad using a conducting material.
Statement 2: It is possible for earth as its radius is 6.4×106 m.
[Online May 26, 2012]
Q.231 Correct
Q.231 In-correct
Q.231 Unattempt
A series combination of n1 capacitors, each of capacity C1 is charged by source of potential difference 4V. When another parallel combination of n2 capacitors each of capacity C2 is charged by a source of potential difference V, it has the same total energy stored in it as the first combination has. The value of C2 in terms of C1 is then
[Online May 12, 2012]
A series combination of n1 capacitors, each of capacity C1 is charged by source of potential difference 4V. When another parallel combination of n2 capacitors each of capacity C2 is charged by a source of potential difference V, it has the same total energy stored in it as the first combination has. The value of C2 in terms of C1 is then
[Online May 12, 2012]
Q.232 Correct
Q.232 In-correct
Q.232 Unattempt
Two circuits (a) and (b) have charged capacitors of capacitance C, 2C and 3C with open switches. Charges on each of the capacitor are as shown in the figures. On closing the switches

[Online May 7, 2012]
Two circuits (a) and (b) have charged capacitors of capacitance C, 2C and 3C with open switches. Charges on each of the capacitor are as shown in the figures. On closing the switches

[Online May 7, 2012]
Q.233 Correct
Q.233 In-correct
Q.233 Unattempt
The electrostatic potential inside a charged spherical ball is given by ϕ=ar2+b where r is the distance from the centre and a,b are constants. Then the charge density inside the ball is:
[2011]
The electrostatic potential inside a charged spherical ball is given by ϕ=ar2+b where r is the distance from the centre and a,b are constants. Then the charge density inside the ball is:
[2011]
Q.234 Correct
Q.234 In-correct
Q.234 Unattempt
Two positive charges of magnitude ‘q’ are placed, at the ends of a side (side 1) of a square of side ‘2a’. Two negative charges of the same magnitude are kept at the other corners.
Starting from rest, if a charge Q moves from the middle of side 1 to the centre of square, its kinetic energy at the centre of square is
[2011 RS]
Two positive charges of magnitude ‘q’ are placed, at the ends of a side (side 1) of a square of side ‘2a’. Two negative charges of the same magnitude are kept at the other corners.
Starting from rest, if a charge Q moves from the middle of side 1 to the centre of square, its kinetic energy at the centre of square is
[2011 RS]
Q.235 Correct
Q.235 In-correct
Q.235 Unattempt
Let C be the capacitance of a capacitor discharging through a resistor R. Suppose t1 is the time taken for the energy stored in the capacitor to reduce to half its initial value and t2 is the time taken for the charge to reduce to one-fourth its initial value. Then the ratio t1∕t2 will be
[2010]
Let C be the capacitance of a capacitor discharging through a resistor R. Suppose t1 is the time taken for the energy stored in the capacitor to reduce to half its initial value and t2 is the time taken for the charge to reduce to one-fourth its initial value. Then the ratio t1∕t2 will be
[2010]
Q.236 Correct
Q.236 In-correct
Q.236 Unattempt
Two points P and Q are maintained at the potentials of 10 V and −4~V, respectively. The work done in moving 100 electrons from P to Q is:
[2009]
Two points P and Q are maintained at the potentials of 10 V and −4~V, respectively. The work done in moving 100 electrons from P to Q is:
[2009]
Q.237 Correct
Q.237 In-correct
Q.237 Unattempt
A parallel plate capacitor with air between the plates has capacitance of 9 pF. The separation between its plates is ‘d’. The space between the plates is now filled with two dielectrics. One of the dielectrics has dielectric constant k1=3 and thickness
d
3
 while the other one has dielectric constant k2=6 and thickness
2d
3
. Capacitance of the capacitor is now
[2008]
A parallel plate capacitor with air between the plates has capacitance of 9 pF. The separation between its plates is ‘d’. The space between the plates is now filled with two dielectrics. One of the dielectrics has dielectric constant k1=3 and thickness
d
3
 while the other one has dielectric constant k2=6 and thickness
2d
3
. Capacitance of the capacitor is now
[2008]
Q.238 Correct
Q.238 In-correct
Q.238 Unattempt
An electric charge 10−3µC is placed at the origin (0,0) of X−Y co-ordinate system. Two points A and B are situated at (√2,√2) and (2,0) respectively. The potential difference between the points A and B will be
[2007]
An electric charge 10−3µC is placed at the origin (0,0) of X−Y co-ordinate system. Two points A and B are situated at (√2,√2) and (2,0) respectively. The potential difference between the points A and B will be
[2007]
Q.239 Correct
Q.239 In-correct
Q.239 Unattempt
Charges are placed on the vertices of a square as shown. Let
→
E
 be the electric field and V the potential at the centre. If the charges on A and B are interchanged with those on D and C respectively, then

[2007]
Charges are placed on the vertices of a square as shown. Let
→
E
 be the electric field and V the potential at the centre. If the charges on A and B are interchanged with those on D and C respectively, then

[2007]
Q.240 Correct
Q.240 In-correct
Q.240 Unattempt
The potential at a point x (measured in µ m) due to some charges situated on the x-axis is given by V(x)=20∕(x2–4) volt. The electric field E at x = 4 µ m is given by
[2007]
The potential at a point x (measured in µ m) due to some charges situated on the x-axis is given by V(x)=20∕(x2–4) volt. The electric field E at x = 4 µ m is given by
[2007]
Q.241 Correct
Q.241 In-correct
Q.241 Unattempt
A parallel plate condenser with a dielectric of dielectric constant K between the plates has a capacity C and is charged to a potential V volt. The dielectric slab is slowly removed from between the plates and then reinserted. The net work done by the system in this process is

[2007]
A parallel plate condenser with a dielectric of dielectric constant K between the plates has a capacity C and is charged to a potential V volt. The dielectric slab is slowly removed from between the plates and then reinserted. The net work done by the system in this process is

[2007]
Q.242 Correct
Q.242 In-correct
Q.242 Unattempt
Two insulating plates are both uniformly charged in such a way that the potential difference between them is V2− V1=20V. (i.e., plate 2 is at a higher potential). The plates are separated by d=0.1m and can be treated as infinitely large. An electron is released from rest on the inner surface of plate 1. What is its speed when it hits plate 2?(e=1.6× 10−19C,me=9.11×10−31kg)
[2006]
Two insulating plates are both uniformly charged in such a way that the potential difference between them is V2− V1=20V. (i.e., plate 2 is at a higher potential). The plates are separated by d=0.1m and can be treated as infinitely large. An electron is released from rest on the inner surface of plate 1. What is its speed when it hits plate 2?(e=1.6× 10−19C,me=9.11×10−31kg)
[2006]
Q.243 Correct
Q.243 In-correct
Q.243 Unattempt
Two thin wire rings each having a radius R are placed at a distance d apart with their axes coinciding. The charges on the two rings are +q and -q. The potential difference between the centres of the two rings is
[2005]
Two thin wire rings each having a radius R are placed at a distance d apart with their axes coinciding. The charges on the two rings are +q and -q. The potential difference between the centres of the two rings is
[2005]
Q.244 Correct
Q.244 In-correct
Q.244 Unattempt
A parallel plate capacitor is made by stacking n equally spaced plates connected alternatively. If the capacitance between any two adjacent plates is ‘C’ then the resultant capacitance is
[2005]
A parallel plate capacitor is made by stacking n equally spaced plates connected alternatively. If the capacitance between any two adjacent plates is ‘C’ then the resultant capacitance is
[2005]
Q.245 Correct
Q.245 In-correct
Q.245 Unattempt
A fully charged capacitor has a capacitance ‘C’. It is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity ‘s’ and mass ‘m’. If the temperature of the block is raised by ‘ΔT’, the potential difference ‘V’ across the capacitance is
[2005]
A fully charged capacitor has a capacitance ‘C’. It is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity ‘s’ and mass ‘m’. If the temperature of the block is raised by ‘ΔT’, the potential difference ‘V’ across the capacitance is
[2005]
Q.246 Correct
Q.246 In-correct
Q.246 Unattempt
A charged particle ‘q’ is shot towards another charged particle ‘Q’ which is fixed, with a speed ‘v’. It approaches ‘Q’ upto a closest distance r and then returns. If q were given a speed of ‘2v’ the closest distances of approach would be
[2004]
A charged particle ‘q’ is shot towards another charged particle ‘Q’ which is fixed, with a speed ‘v’. It approaches ‘Q’ upto a closest distance r and then returns. If q were given a speed of ‘2v’ the closest distances of approach would be
[2004]
Q.247 Correct
Q.247 In-correct
Q.247 Unattempt
A thin spherical conducting shell of radius R has a chargeq. Another charge Q is placed at the centre of the shell.
The electrostatic potential at a point P, a distance
R
2
 from the centre of the shell is
[2003]
A thin spherical conducting shell of radius R has a chargeq. Another charge Q is placed at the centre of the shell.
The electrostatic potential at a point P, a distance
R
2
 from the centre of the shell is
[2003]
Q.248 Correct
Q.248 In-correct
Q.248 Unattempt
A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor
[2003]
A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor
[2003]
Q.249 Correct
Q.249 In-correct
Q.249 Unattempt
The work done in placing a charge of 8×10−18 coulomb on a condenser of capacity 100 micro-farad is
[2003]
The work done in placing a charge of 8×10−18 coulomb on a condenser of capacity 100 micro-farad is
[2003]
Q.250 Correct
Q.250 In-correct
Q.250 Unattempt
On moving a charge of 20 coulomb by 2 cm, 2 J of work is done, then the potential difference between the points is
[2002]
On moving a charge of 20 coulomb by 2 cm, 2 J of work is done, then the potential difference between the points is
[2002]
Q.251 Correct
Q.251 In-correct
Q.251 Unattempt
If there are n capacitors in parallel connected to V volt source, then the energy stored is equal to
[2002]
If there are n capacitors in parallel connected to V volt source, then the energy stored is equal to
[2002]
Q.252 Correct
Q.252 In-correct
Q.252 Unattempt
Capacitance (in F) of a spherical conductor with radius 1 m is
[2002]
Capacitance (in F) of a spherical conductor with radius 1 m is
[2002]
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