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Solution
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Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
A conducting loop of radius
10
π
cm
is placed perpendicular to a uniform magnetic field of 0.5T. The magnetic field is decreased to zero in 0.5 s at a steady rate. The induced emf in the circular loop at 0.25 s is:
[24-Jan-2023 Shift 1]
A conducting loop of radius
10
π
cm
is placed perpendicular to a uniform magnetic field of 0.5T. The magnetic field is decreased to zero in 0.5 s at a steady rate. The induced emf in the circular loop at 0.25 s is:
[24-Jan-2023 Shift 1]
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
A metallic rod of length ' L ' is rotated with an angular speed of ' ω ' normal to a uniform magnetic field ' B ' about an axis passing through one end of rod as shown in figure. The induced emf will be :

[24-Jan-2023 Shift 2]
A metallic rod of length ' L ' is rotated with an angular speed of ' ω ' normal to a uniform magnetic field ' B ' about an axis passing through one end of rod as shown in figure. The induced emf will be :

[24-Jan-2023 Shift 2]
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
A wire of length 1m moving with velocity 8m s at right angles to a magnetic field of 2T. The magnitude of induced emf, between the ends of wire will be ________.
[25-Jan-2023 Shift 2]
A wire of length 1m moving with velocity 8m s at right angles to a magnetic field of 2T. The magnitude of induced emf, between the ends of wire will be ________.
[25-Jan-2023 Shift 2]
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
A certain elastic conducting material is stretched into a circular loop. It is placed with its plane perpendicular to a uniform magnetic field B=0.8T. When released the radius of the loop starts shrinking at a constant rate of 2cm1. The induced emf in the loop at an instant when the radius of the loop is 10cm will _______be mV.
[29-Jan-2023 Shift 1]
A certain elastic conducting material is stretched into a circular loop. It is placed with its plane perpendicular to a uniform magnetic field B=0.8T. When released the radius of the loop starts shrinking at a constant rate of 2cm1. The induced emf in the loop at an instant when the radius of the loop is 10cm will _______be mV.
[29-Jan-2023 Shift 1]
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
As per the given figure, if
dI
dt
=1A s
then the value of VAB at this instant will be _______ V.

[30-Jan-2023 Shift 1]
As per the given figure, if
dI
dt
=1A s
then the value of VAB at this instant will be _______ V.

[30-Jan-2023 Shift 1]
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
An inductor of 0.5mH, a capacitor of 20µF and resistance of 20 are connected in series with a 220V ac source. If the current is in phase with the emf, the amplitude of current of the circuit is xA. The value of x is -
[31-Jan-2023 Shift 1]
An inductor of 0.5mH, a capacitor of 20µF and resistance of 20 are connected in series with a 220V ac source. If the current is in phase with the emf, the amplitude of current of the circuit is xA. The value of x is -
[31-Jan-2023 Shift 1]
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
The induced emf can be produced in a coil by
A. moving the coil with uniform speed inside uniform magnetic field
B. moving the coil with non uniform speed inside uniform magnetic field
C. rotating the coil inside the uniform magnetic field
D. changing the area of the coil inside the uniform magnetic field Choose the correct answer from the options given below :
[6-Apr-2023 shift 1]
The induced emf can be produced in a coil by
A. moving the coil with uniform speed inside uniform magnetic field
B. moving the coil with non uniform speed inside uniform magnetic field
C. rotating the coil inside the uniform magnetic field
D. changing the area of the coil inside the uniform magnetic field Choose the correct answer from the options given below :
[6-Apr-2023 shift 1]
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
For the plane electromagnetic wave given by E=E0sin(ωtkx) and B=B0sin(ωtkx), the ratio of average electric energy density to average magnetic energy density is
[6-Apr-2023 shift 1]
For the plane electromagnetic wave given by E=E0sin(ωtkx) and B=B0sin(ωtkx), the ratio of average electric energy density to average magnetic energy density is
[6-Apr-2023 shift 1]
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
Two concentric circular coils with radii 1cm and 1000cm, and number of turns 10 and 200 respectively are placed coaxially with centers coinciding. The mutual inductance of this arrangement will be _______ ×108H (Take, π2=10 )
[6-Apr-2023 shift 2]
Two concentric circular coils with radii 1cm and 1000cm, and number of turns 10 and 200 respectively are placed coaxially with centers coinciding. The mutual inductance of this arrangement will be _______ ×108H (Take, π2=10 )
[6-Apr-2023 shift 2]
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
An emf of 0.08V is induced in a metal rod of length 10cm held normal to a uniform magnetic field of 0.4T, when moves with a velocity of:
[8-Apr-2023 shift 2]
An emf of 0.08V is induced in a metal rod of length 10cm held normal to a uniform magnetic field of 0.4T, when moves with a velocity of:
[8-Apr-2023 shift 2]
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
The energy of an electromagnetic wave contained in a small volume oscillates with
[10-Apr-2023 shift 1]
The energy of an electromagnetic wave contained in a small volume oscillates with
[10-Apr-2023 shift 1]
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
A 1m long metal rod XY completes the circuit as shown in figure. The plane of the circuit is perpendicular to the magnetic field of flux density 0.15T. If the resistance of the circuit is 5, the force needed to move the rod in direction, as indicated, with a constant speed of 4m s will be _______ 103N.

[10-Apr-2023 shift 1]
A 1m long metal rod XY completes the circuit as shown in figure. The plane of the circuit is perpendicular to the magnetic field of flux density 0.15T. If the resistance of the circuit is 5, the force needed to move the rod in direction, as indicated, with a constant speed of 4m s will be _______ 103N.

[10-Apr-2023 shift 1]
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
A square loop of side 2.0cm is placed inside a long solenoid that has 50 turns per centimeter and carries a sinusoidally varying current of amplitude 2.5A and angular frequency 700rad s1. The central axes of the loop and solenoid coincide. The amplitude of the emf induced in the loop is x×104V. The value of x is ________. (Take, π=
22
7
)
[10-Apr-2023 shift 2]
A square loop of side 2.0cm is placed inside a long solenoid that has 50 turns per centimeter and carries a sinusoidally varying current of amplitude 2.5A and angular frequency 700rad s1. The central axes of the loop and solenoid coincide. The amplitude of the emf induced in the loop is x×104V. The value of x is ________. (Take, π=
22
7
)
[10-Apr-2023 shift 2]
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
The magnetic field B crossing normally a square metallic plate of area 4m2 is changing with time as shown in figure. The magnitude of induced emf in the plate during t=2s to t=4s, is _______ mV.

[11-Apr-2023 shift 1]
The magnetic field B crossing normally a square metallic plate of area 4m2 is changing with time as shown in figure. The magnitude of induced emf in the plate during t=2s to t=4s, is _______ mV.

[11-Apr-2023 shift 1]
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
A metallic cube of side 15cm moving along y-axis at a uniform velocity of 2ms1. In a region of uniform magnetic field of magnitude 0.5T directed along z-axis. In equilibrium the potential difference between the faces of higher and lower potential developed because of the motion through the field will be ________ mV.

[11-Apr-2023 shift 2]
A metallic cube of side 15cm moving along y-axis at a uniform velocity of 2ms1. In a region of uniform magnetic field of magnitude 0.5T directed along z-axis. In equilibrium the potential difference between the faces of higher and lower potential developed because of the motion through the field will be ________ mV.

[11-Apr-2023 shift 2]
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
A coil has an inductance of 2H and resistance of 4. A 10V is applied across the coil. The energy stored in the magnetic field after the current has built up to its equilibrium value will be ________ ×102J.
[11-Apr-2023 shift 2]
A coil has an inductance of 2H and resistance of 4. A 10V is applied across the coil. The energy stored in the magnetic field after the current has built up to its equilibrium value will be ________ ×102J.
[11-Apr-2023 shift 2]
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
A conducting circular loop is placed in a uniform magnetic field of 0.4T with its plane perpendicular to the field. Somehow, the radius of the loop starts expending at a constant rate of 1mm s. The magnitude of induced emf in the loop at an instant when the radius of the lop is 2cm will be ________ µV.
[12-Apr-2023 shift 1]
A conducting circular loop is placed in a uniform magnetic field of 0.4T with its plane perpendicular to the field. Somehow, the radius of the loop starts expending at a constant rate of 1mm s. The magnitude of induced emf in the loop at an instant when the radius of the lop is 2cm will be ________ µV.
[12-Apr-2023 shift 1]
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
The source of time varying magnetic field may be
(A) A permanent magnet
(B) An electric field changing linearly with time
(C) Direct current
(D) A decelerating charge particle
(E) An antenna fed with a digital signal
Choose the correct answer from the options given below:
[13-Apr-2023 shift 1]
The source of time varying magnetic field may be
(A) A permanent magnet
(B) An electric field changing linearly with time
(C) Direct current
(D) A decelerating charge particle
(E) An antenna fed with a digital signal
Choose the correct answer from the options given below:
[13-Apr-2023 shift 1]
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
In the given figure, an inductor and a resistor are connected in series with a batter of emf E volt.
Ea
2b
J
s
represents the maximum rate at which the energy is stored in the magnetic field (inductor). The numerical value of
b
a
will be _________

[13-Apr-2023 shift 1]
In the given figure, an inductor and a resistor are connected in series with a batter of emf E volt.
Ea
2b
J
s
represents the maximum rate at which the energy is stored in the magnetic field (inductor). The numerical value of
b
a
will be _________

[13-Apr-2023 shift 1]
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
An insulated copper wire of 100 turns is wrapped around a wooden cylindrical core of the cross-sectional area 24cm2. The two ends of the wire are connected to a resistor. The total resistance in the circuit is 12. If an externally applied uniform magnetic field in the core along its axis changes from 1.5T in one direction to 1.5T in the opposite direction, the charge flowing through a point in the circuit during the change of magnetic field will be _________ mC.
[13-Apr-2023 shift 2]
An insulated copper wire of 100 turns is wrapped around a wooden cylindrical core of the cross-sectional area 24cm2. The two ends of the wire are connected to a resistor. The total resistance in the circuit is 12. If an externally applied uniform magnetic field in the core along its axis changes from 1.5T in one direction to 1.5T in the opposite direction, the charge flowing through a point in the circuit during the change of magnetic field will be _________ mC.
[13-Apr-2023 shift 2]
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
A 12V battery connected to a coil of resistance 6 through a switch, drives a constant current in the circuit. The switch is opened in 1ms. The emf induced across the coil is 20V. The inductance of the coil is :
[15-Apr-2023 shift 1]
A 12V battery connected to a coil of resistance 6 through a switch, drives a constant current in the circuit. The switch is opened in 1ms. The emf induced across the coil is 20V. The inductance of the coil is :
[15-Apr-2023 shift 1]
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
A 20cm long metallic rod is rotated with 210rpm about an axis normal to the rod passing through its one end. The other end of the rod is in contact with a circular metallic ring. A constant and uniform magnetic field 0.2T parallel to the axis exists everywhere. The emf developed between the centre and the ring is ________ mV. (Take π=227 )
[15-Apr-2023 shift 1]
A 20cm long metallic rod is rotated with 210rpm about an axis normal to the rod passing through its one end. The other end of the rod is in contact with a circular metallic ring. A constant and uniform magnetic field 0.2T parallel to the axis exists everywhere. The emf developed between the centre and the ring is ________ mV. (Take π=227 )
[15-Apr-2023 shift 1]
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
A circular coil of 1000 turns each with area 1m2 is rotated about its vertical diameter at the rate of one revolution per second in a uniform horizontal magnetic field of 0.07T. The maximum voltage
generation will be ____V.
[24-Jun-2022-Shift-2]
A circular coil of 1000 turns each with area 1m2 is rotated about its vertical diameter at the rate of one revolution per second in a uniform horizontal magnetic field of 0.07T. The maximum voltage
generation will be ____V.
[24-Jun-2022-Shift-2]
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
The current in a coil of self inductance 2.0H is increasing according to I=2sin(t2)A. The amount of energy spent during the period when current changes from 0 to A is ______J.
[25-Jun-2022-Shift-1]
The current in a coil of self inductance 2.0H is increasing according to I=2sin(t2)A. The amount of energy spent during the period when current changes from 0 to A is ______J.
[25-Jun-2022-Shift-1]
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
The magnetic flux through a coil perpendicular to its plane is varying according to the relation φ=(5t3+4t2+2t5) Weber. If the resistance of the coil is 5 ohm, then the induced current through the coil at t=2s will be,
[26-Jun-2022-Shift-1]
The magnetic flux through a coil perpendicular to its plane is varying according to the relation φ=(5t3+4t2+2t5) Weber. If the resistance of the coil is 5 ohm, then the induced current through the coil at t=2s will be,
[26-Jun-2022-Shift-1]
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
A 10,20mH coil carrying constant current is connected to a battery of 20V through a switch. Now after switch is opened current becomes zero in 100µ s. The average e.m.f. induced in the coil is ______V.
[26-Jun-2022-Shift-1]
A 10,20mH coil carrying constant current is connected to a battery of 20V through a switch. Now after switch is opened current becomes zero in 100µ s. The average e.m.f. induced in the coil is ______V.
[26-Jun-2022-Shift-1]
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
Two coils of self inductance L1 and L2 are connected in series combination having mutual inductance of the coils as M. The equivalent self inductance of the combination will be :

[26-Jun-2022-Shift-2]
Two coils of self inductance L1 and L2 are connected in series combination having mutual inductance of the coils as M. The equivalent self inductance of the combination will be :

[26-Jun-2022-Shift-2]
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
A metallic conductor of length 1m rotates in a vertical plane parallel to east-west direction about one of its end with angular velocity 5rads1. If the horizontal component of earth's magnetic field is 0.2×104T, then emf induced between the two ends of the conductor is:
[26-Jun-2022-Shift-2]
A metallic conductor of length 1m rotates in a vertical plane parallel to east-west direction about one of its end with angular velocity 5rads1. If the horizontal component of earth's magnetic field is 0.2×104T, then emf induced between the two ends of the conductor is:
[26-Jun-2022-Shift-2]
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
A metallic rod of length 20cm is placed in North-South direction and is moved at a constant speed of 20ms towards East. The horizontal component of the Earth's magnetic field at that place is 4×103T and the angle of dip is 45. The emf induced in the rod is ______mV
[27-Jun-2022-Shift-2]
A metallic rod of length 20cm is placed in North-South direction and is moved at a constant speed of 20ms towards East. The horizontal component of the Earth's magnetic field at that place is 4×103T and the angle of dip is 45. The emf induced in the rod is ______mV
[27-Jun-2022-Shift-2]
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
Given below are two statements :
Statement I : The electric force changes the speed of the charged particle and hence changes its kinetic energy; whereas the magnetic force does not change the kinetic energy of the charged particle.
Statement II : The electric force accelerates the positively charged particle perpendicular to the direction of electric field. The magnetic force accelerates the moving charged particle along the direction of magnetic field.
In the light of the above statements, choose the most appropriate answer from the options given below :
[29-Jun-2022-Shift-2]
Given below are two statements :
Statement I : The electric force changes the speed of the charged particle and hence changes its kinetic energy; whereas the magnetic force does not change the kinetic energy of the charged particle.
Statement II : The electric force accelerates the positively charged particle perpendicular to the direction of electric field. The magnetic force accelerates the moving charged particle along the direction of magnetic field.
In the light of the above statements, choose the most appropriate answer from the options given below :
[29-Jun-2022-Shift-2]
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
A small square loop of wire of side l is placed inside a large square loop of wire L(L>>l). Both loops are coplanar and their centres coincide at point O as shown in figure. The mutual inductance of the system is :

[25-Jul-2022-Shift-1]
A small square loop of wire of side l is placed inside a large square loop of wire L(L>>l). Both loops are coplanar and their centres coincide at point O as shown in figure. The mutual inductance of the system is :

[25-Jul-2022-Shift-1]
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
Magnetic flux (in weber) in a closed circuit of resistance 20 varies with time t(s) at φ=8t29t+5. The magnitude of the induced current at t=0.25s will be ____mA.
[25-Jul-2022-Shift-2]
Magnetic flux (in weber) in a closed circuit of resistance 20 varies with time t(s) at φ=8t29t+5. The magnitude of the induced current at t=0.25s will be ____mA.
[25-Jul-2022-Shift-2]
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
A velocity selector consists of electric field
E
=E
k
and magnetic field
B
=B
j
with B=12mT. The value of E required for an electron of energy 728eV moving along the positive x-axis to pass undeflected is :
(Given, mass of electron =9.1×1031kg )
[26-Jul-2022-Shift-2]
A velocity selector consists of electric field
E
=E
k
and magnetic field
B
=B
j
with B=12mT. The value of E required for an electron of energy 728eV moving along the positive x-axis to pass undeflected is :
(Given, mass of electron =9.1×1031kg )
[26-Jul-2022-Shift-2]
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
A beam of light travelling along X-axis is described by the electric field Ey=900sinω(txc).
The ratio of electric force to magnetic force on a charge q moving along Y-axis with a speed of 3×107ms1 will be :
(Given speed of light =3×108ms1 )
[27-Jul-2022-Shift-1]
A beam of light travelling along X-axis is described by the electric field Ey=900sinω(txc).
The ratio of electric force to magnetic force on a charge q moving along Y-axis with a speed of 3×107ms1 will be :
(Given speed of light =3×108ms1 )
[27-Jul-2022-Shift-1]
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
A conducting circular loop is placed in XY plane in presence of magnetic field
B
=(3t3
j
+3t2
k
)
in SI unit. If the radius of the loop is 1m, the induced emf in the loop, at time, t=2s is nπV. The value of n is ________.
[27-Jul-2022-Shift-2]
A conducting circular loop is placed in XY plane in presence of magnetic field
B
=(3t3
j
+3t2
k
)
in SI unit. If the radius of the loop is 1m, the induced emf in the loop, at time, t=2s is nπV. The value of n is ________.
[27-Jul-2022-Shift-2]
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
A transformer operating at primary voltage 8kV and secondary voltage 160V serves a load of 80kW. Assuming the transformer to be ideal with purely resistive load and working on unity power factor, the loads in the primary and secondary circuit would be
[28-Jul-2022-Shift-2]
A transformer operating at primary voltage 8kV and secondary voltage 160V serves a load of 80kW. Assuming the transformer to be ideal with purely resistive load and working on unity power factor, the loads in the primary and secondary circuit would be
[28-Jul-2022-Shift-2]
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
An aeroplane with its wings spread 10m, is flying at a speed of 180kmh in a horizontal direction. The total intensity of Earth's field at that part is 2.5×104Wbm2 and the angle of dip is 60. The emf induced between the tips of the plane wings will be
[26 Feb 2021 Shift 2]
An aeroplane with its wings spread 10m, is flying at a speed of 180kmh in a horizontal direction. The total intensity of Earth's field at that part is 2.5×104Wbm2 and the angle of dip is 60. The emf induced between the tips of the plane wings will be
[26 Feb 2021 Shift 2]
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
A coil of inductance 2H having negligible resistance is connected to a source of supply whose voltage is given by V=3tV (where, t is in second). If the voltage is applied when t=0, then the energy stored in the coil after 4s is ........... J.
[25 Feb 2021 Shift 1]
A coil of inductance 2H having negligible resistance is connected to a source of supply whose voltage is given by V=3tV (where, t is in second). If the voltage is applied when t=0, then the energy stored in the coil after 4s is ........... J.
[25 Feb 2021 Shift 1]
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
The magnetic field in a region is given by B=B0(
x
a
)
k
. A square loop of side d is placed with its edges along the X and Y-axes. The loop is moved with a constant velocity v=v0
i
. The emf induced in the loop is

[16 Mar 2021 Shift 2]
The magnetic field in a region is given by B=B0(
x
a
)
k
. A square loop of side d is placed with its edges along the X and Y-axes. The loop is moved with a constant velocity v=v0
i
. The emf induced in the loop is

[16 Mar 2021 Shift 2]
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
A conducting bar of length L is free to slide on two parallel conducting rails as shown in the figure
Two resistors R1 and R2 are connected across the ends of the rails. There is a uniform magnetic field B pointing into the page. An external agent pulls the bar to the left at a constant speed v.
The correct statement about the directions of induced currents I1 and I2 flowing through R1 and R2 respectively is
[16 Mar 2021 Shift 1]
A conducting bar of length L is free to slide on two parallel conducting rails as shown in the figure

Two resistors R1 and R2 are connected across the ends of the rails. There is a uniform magnetic field B pointing into the page. An external agent pulls the bar to the left at a constant speed v.
The correct statement about the directions of induced currents I1 and I2 flowing through R1 and R2 respectively is
[16 Mar 2021 Shift 1]
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
The time taken for the magnetic energy to reach 25% of its maximum value, when a solenoid of resistance R, inductance L is connected to a battery, is
[18 Mar 2021 Shift 2]
The time taken for the magnetic energy to reach 25% of its maximum value, when a solenoid of resistance R, inductance L is connected to a battery, is
[18 Mar 2021 Shift 2]
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
In the given figure the magnetic flux through the loop increases according to the relation ϕB(t)=10t2+20t, where ϕB is in milliwebers and tis in seconds.
The magnitude of current through R=2Ω resistor at t=5s is _____mA

[27 Jul 2021 Shift 2]
In the given figure the magnetic flux through the loop increases according to the relation ϕB(t)=10t2+20t, where ϕB is in milliwebers and tis in seconds.
The magnitude of current through R=2Ω resistor at t=5s is _____mA

[27 Jul 2021 Shift 2]
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
A circular conducting coil of radius 1m is being heated by the change of magnetic field
B
passing perpendicular to the plane in which the coil is laid. The resistance of the coil is 2µΩ. The magnetic field is slowly switched off such that its magnitude changes in time as
B=
4
π
×103T(1
t
100
)

The energy dissipated by the coil before the magnetic field is switched off completely is E= mJ
[25 Jul 2021 Shift 1]
A circular conducting coil of radius 1m is being heated by the change of magnetic field
B
passing perpendicular to the plane in which the coil is laid. The resistance of the coil is 2µΩ. The magnetic field is slowly switched off such that its magnitude changes in time as
B=
4
π
×103T(1
t
100
)

The energy dissipated by the coil before the magnetic field is switched off completely is E= mJ
[25 Jul 2021 Shift 1]
Q.61 Correct
Q.61 In-correct
Q.61 Unattempt
The arm PQ of a rectangular conductor is moving from x = 0 to x = 2b outwards and then inwards from x = 2b to x = 0 as shown in the figure. A uniform magnetic field perpendicular to the plane is acting from x = 0 to x = b. Identify the graph showing the variation of different quantities with distance :

[20 Jul 2021 Shift 1]
The arm PQ of a rectangular conductor is moving from x = 0 to x = 2b outwards and then inwards from x = 2b to x = 0 as shown in the figure. A uniform magnetic field perpendicular to the plane is acting from x = 0 to x = b. Identify the graph showing the variation of different quantities with distance :

[20 Jul 2021 Shift 1]
Q.62 Correct
Q.62 In-correct
Q.62 Unattempt
A coil is placed in a magnetic field B as shown below.
A current is induced in the coil because B is
[31 Aug 2021 Shift 2]
A coil is placed in a magnetic field B as shown below.

A current is induced in the coil because B is
[31 Aug 2021 Shift 2]
Q.63 Correct
Q.63 In-correct
Q.63 Unattempt
A constant magnetic field of 1T is applied in the x>0 region. A metallic circular ring of radius 1m is moving with a constant velocity of 1ms along the X-axis. At t=0s, the centre of O of the ring is at x=1m.What will be the value of the induced emf in the ring at t=1s?
(Assume the velocity of the ring does not change.)

[27 Aug 2021 Shift 2]
A constant magnetic field of 1T is applied in the x>0 region. A metallic circular ring of radius 1m is moving with a constant velocity of 1ms along the X-axis. At t=0s, the centre of O of the ring is at x=1m.What will be the value of the induced emf in the ring at t=1s?
(Assume the velocity of the ring does not change.)

[27 Aug 2021 Shift 2]
Q.64 Correct
Q.64 In-correct
Q.64 Unattempt
A bar magnet is passing through a conducting loop of radius R with velocity v. The radius of the bar magnet is such that it just passes through the loop. The induced emf in the loop can be represented by the approximate curve

[27 Aug 2021 Shift 1]
A bar magnet is passing through a conducting loop of radius R with velocity v. The radius of the bar magnet is such that it just passes through the loop. The induced emf in the loop can be represented by the approximate curve

[27 Aug 2021 Shift 1]
Q.65 Correct
Q.65 In-correct
Q.65 Unattempt
A circular coil of radius 8.0cm and 20 turns is rotated about its vertical diameter with an angular speed of 50rads1 in a uniform horizontal magnetic field of 3.0×102T. The maximum emf induced in the coil will be .......... ×102V.
(rounded off to the nearest integer.)
[26 Aug 2021 Shift 2]
A circular coil of radius 8.0cm and 20 turns is rotated about its vertical diameter with an angular speed of 50rads1 in a uniform horizontal magnetic field of 3.0×102T. The maximum emf induced in the coil will be .......... ×102V.
(rounded off to the nearest integer.)
[26 Aug 2021 Shift 2]
Q.66 Correct
Q.66 In-correct
Q.66 Unattempt
A small square loop of side a and one turn is placed inside a larger square loop of side b and one turn (b>>a). The two loops are coplanar with their centres coinciding. If a current / is passed in the square loop of side b, then the coefficient of mutual inductance between the two loops is
[31 Aug 2021 Shift 1]
A small square loop of side a and one turn is placed inside a larger square loop of side b and one turn (b>>a). The two loops are coplanar with their centres coinciding. If a current / is passed in the square loop of side b, then the coefficient of mutual inductance between the two loops is
[31 Aug 2021 Shift 1]
Q.67 Correct
Q.67 In-correct
Q.67 Unattempt
An inductor coil stores 64J of magnetic field energy and dissipates energy at the rate of 640W when a current of 8A is passed through it. If this coil is joined across an ideal battery, find the time constant of the circuit in seconds.
[26 Aug 2021 Shift 1]
An inductor coil stores 64J of magnetic field energy and dissipates energy at the rate of 640W when a current of 8A is passed through it. If this coil is joined across an ideal battery, find the time constant of the circuit in seconds.
[26 Aug 2021 Shift 1]
Q.68 Correct
Q.68 In-correct
Q.68 Unattempt
A square loop of side 20cm and resistance 1Ω is moved towards right with a constant speed v0. The right arm of the loop is in a uniform magnetic field of 5T. The field is perpendicular to the plane of the loop and is going into it. The loop is connected to a network of resistors each of value 4Ω. What should be the value of v0, so that a steady current of 2mA flows in the loop?

[1 Sep 2021 Shift 2]
A square loop of side 20cm and resistance 1Ω is moved towards right with a constant speed v0. The right arm of the loop is in a uniform magnetic field of 5T. The field is perpendicular to the plane of the loop and is going into it. The loop is connected to a network of resistors each of value 4Ω. What should be the value of v0, so that a steady current of 2mA flows in the loop?

[1 Sep 2021 Shift 2]
Q.69 Correct
Q.69 In-correct
Q.69 Unattempt
In a fluorescent lamp choke (a small transformer) 100 V of reverse voltage is produced when the choke current changes uniformly from 0.25 A to 0 in a duration of 0.025 ms. The self- inductance of the choke (in mH) is estimated to be ______.
[NA 9 Jan. 2020 I]
In a fluorescent lamp choke (a small transformer) 100 V of reverse voltage is produced when the choke current changes uniformly from 0.25 A to 0 in a duration of 0.025 ms. The self- inductance of the choke (in mH) is estimated to be ______.
[NA 9 Jan. 2020 I]
Q.70 Correct
Q.70 In-correct
Q.70 Unattempt
At time t = 0 magnetic field of 1000 Gauss is passing perpendicularly through the area defined by the closed loop shown in the figure. If the magnetic field reduces linearly to 500 Gauss, in the next 5 s, then induced EMF in the loop is:

[NA 8 Jan. 2020 I]
At time t = 0 magnetic field of 1000 Gauss is passing perpendicularly through the area defined by the closed loop shown in the figure. If the magnetic field reduces linearly to 500 Gauss, in the next 5 s, then induced EMF in the loop is:

[NA 8 Jan. 2020 I]
Q.71 Correct
Q.71 In-correct
Q.71 Unattempt
Consider a circular coil of wire carrying constant current I, forming a magnetic dipole. The magnetic flux through an infinite plane that contains the circular coil and excluding the circular coil area is given by ϕi. The magnetic flux through the area of the circular coil area is given by ϕ0. Which of the following option is correct?
[7 Jan. 2020 I]
Consider a circular coil of wire carrying constant current I, forming a magnetic dipole. The magnetic flux through an infinite plane that contains the circular coil and excluding the circular coil area is given by ϕi. The magnetic flux through the area of the circular coil area is given by ϕ0. Which of the following option is correct?
[7 Jan. 2020 I]
Q.72 Correct
Q.72 In-correct
Q.72 Unattempt
A long solenoid of radius R carries a time (t) - dependent current I(t)=I0t(1t). A ring of radius 2R is placed coaxially near its middle. During the time interval 0t1, the induced current (IR) and the induced EMF(VR) in the ring change as:
[7 Jan. 2020 I]
A long solenoid of radius R carries a time (t) - dependent current I(t)=I0t(1t). A ring of radius 2R is placed coaxially near its middle. During the time interval 0t1, the induced current (IR) and the induced EMF(VR) in the ring change as:
[7 Jan. 2020 I]
Q.73 Correct
Q.73 In-correct
Q.73 Unattempt
A loop ABCDEFA of straight edges has six corner points A(0, 0, 0), B{5, 0, 0), C(5, 5, 0), D(0, 5, 0), E(0, 5, 5) and F(0, 0, 5). The magnetic field in this region is
B
=(3
^
i
+4
^
k
)
T
. The quantity of flux through the loop ABCDEFA (in Wb) is _______.
[NA 7 Jan. 2020 I]
A loop ABCDEFA of straight edges has six corner points A(0, 0, 0), B{5, 0, 0), C(5, 5, 0), D(0, 5, 0), E(0, 5, 5) and F(0, 0, 5). The magnetic field in this region is
B
=(3
^
i
+4
^
k
)
T
. The quantity of flux through the loop ABCDEFA (in Wb) is _______.
[NA 7 Jan. 2020 I]
Q.74 Correct
Q.74 In-correct
Q.74 Unattempt
A planar loop of wire rotates in a uniform magnetic field. Initially, at t = 0, the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of 10 s about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at:
[7 Jan. 2020 II]
A planar loop of wire rotates in a uniform magnetic field. Initially, at t = 0, the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of 10 s about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at:
[7 Jan. 2020 II]
Q.75 Correct
Q.75 In-correct
Q.75 Unattempt
Two concentric circular coils, C1 and C2, are placed in the XY plane. C1 has 500 turns, and a radius of 1cm.C2 has 200 turns and radius current 20cm.C2 carries a timedependent current I(t)=(5t22t+3) A Where t is in s. The emf induced in C1( in mV), at the instant t=1s is
4
x
.
The value of x is ______.
[NA Sep. 05, 2020 (I)]
Two concentric circular coils, C1 and C2, are placed in the XY plane. C1 has 500 turns, and a radius of 1cm.C2 has 200 turns and radius current 20cm.C2 carries a timedependent current I(t)=(5t22t+3) A Where t is in s. The emf induced in C1( in mV), at the instant t=1s is
4
x
.
The value of x is ______.
[NA Sep. 05, 2020 (I)]
Q.76 Correct
Q.76 In-correct
Q.76 Unattempt
A small bar magnet is moved through a coil at constant speed from one end to the other. Which of the following series of observations will be seen on the galvanometer G attached across the coil ?
Three positions shown describe : (1) the magnet’s entry (2) magnet is completely inside and (3) magnet’s exit.
[Sep. 04, 2020 (I)]
A small bar magnet is moved through a coil at constant speed from one end to the other. Which of the following series of observations will be seen on the galvanometer G attached across the coil ?

Three positions shown describe : (1) the magnet’s entry (2) magnet is completely inside and (3) magnet’s exit.
[Sep. 04, 2020 (I)]
Q.77 Correct
Q.77 In-correct
Q.77 Unattempt
An elliptical loop having resistance R, of semi major axis a, and semi minor axis b is placed in a magnetic field as shown in the figure. If the loop is rotated about the x-axis with angular frequency ω, the average power loss in the loop due to Joule heating is :

[Sep. 03, 2020 (I)]
An elliptical loop having resistance R, of semi major axis a, and semi minor axis b is placed in a magnetic field as shown in the figure. If the loop is rotated about the x-axis with angular frequency ω, the average power loss in the loop due to Joule heating is :

[Sep. 03, 2020 (I)]
Q.78 Correct
Q.78 In-correct
Q.78 Unattempt
A uniform magnetic field B exists in a direction perpendicular to the plane of a square loop made of a metal wire. The wire has a diameter of 4 mm and a total length of 30 cm. The magnetic field changes with time at a steady rate dB/dt = 0.032 Ts1 . The induced current in the loop is close to (Resistivity of the metal wire is 1.23 × 108 Ωm)
[Sep. 03, 2020 (II)]
A uniform magnetic field B exists in a direction perpendicular to the plane of a square loop made of a metal wire. The wire has a diameter of 4 mm and a total length of 30 cm. The magnetic field changes with time at a steady rate dB/dt = 0.032 Ts1 . The induced current in the loop is close to (Resistivity of the metal wire is 1.23 × 108 Ωm)
[Sep. 03, 2020 (II)]
Q.79 Correct
Q.79 In-correct
Q.79 Unattempt
A circular coil of radius 10cm is placed in a uniform magnetic field of 3.0×105T with its plane perpendicular to the field initially. It is rotated at constant angular speed about an axis along the diameter of coil and perpendicular to magnetic field so that it undergoes half of rotation in 0.2s. The maximum value of EMF induced (in µV ) in the coil will be close to the integer ______.
[NA Sep. 02, 2020 (I)]
A circular coil of radius 10cm is placed in a uniform magnetic field of 3.0×105T with its plane perpendicular to the field initially. It is rotated at constant angular speed about an axis along the diameter of coil and perpendicular to magnetic field so that it undergoes half of rotation in 0.2s. The maximum value of EMF induced (in µV ) in the coil will be close to the integer ______.
[NA Sep. 02, 2020 (I)]
Q.80 Correct
Q.80 In-correct
Q.80 Unattempt
An infinitely long straight wire carrying current I, one side opened rectangular loop and a conductor C with a sliding connector are located in the same plane, as shown in the figure. The connector has length l and resistance R. It slides to the right with a velocity v. The resistance of the conductor and the self inductance of the loop are negligible. The induced current in the loop, as a function of separation r, between the connector and the straight wire is :

[Sep. 05, 2020 (II)]
An infinitely long straight wire carrying current I, one side opened rectangular loop and a conductor C with a sliding connector are located in the same plane, as shown in the figure. The connector has length l and resistance R. It slides to the right with a velocity v. The resistance of the conductor and the self inductance of the loop are negligible. The induced current in the loop, as a function of separation r, between the connector and the straight wire is :

[Sep. 05, 2020 (II)]
Q.81 Correct
Q.81 In-correct
Q.81 Unattempt
A 10m long horizontal wire extends from North East to South West. It is falling with a speed of 5.0ms1, at right angles to the horizontal component of the earth's magnetic field, of 0.3×104Wbm2. The value of the induced emf in wire is :
[12 Jan. 2019 II]
A 10m long horizontal wire extends from North East to South West. It is falling with a speed of 5.0ms1, at right angles to the horizontal component of the earth's magnetic field, of 0.3×104Wbm2. The value of the induced emf in wire is :
[12 Jan. 2019 II]
Q.82 Correct
Q.82 In-correct
Q.82 Unattempt
There are two long co-axial solenoids of same length l. The inner and outer coils have radii r1 and r2 and number of turns per unit length n1 and n2, respectively. The ratio of mutual inductance to the self-inductance of the inner-coil is:
[11 Jan. 2019 I]
There are two long co-axial solenoids of same length l. The inner and outer coils have radii r1 and r2 and number of turns per unit length n1 and n2, respectively. The ratio of mutual inductance to the self-inductance of the inner-coil is:
[11 Jan. 2019 I]
Q.83 Correct
Q.83 In-correct
Q.83 Unattempt
A copper wire is wound on a wooden frame, whose shape is that of an equilateral triangle. If the linear dimension of each side of the frame is increased by a factor of 3, keeping the number of turns of the coil per unit length of the frame the same, then the self inductance of the coil:
[11 Jan. 2019 II]
A copper wire is wound on a wooden frame, whose shape is that of an equilateral triangle. If the linear dimension of each side of the frame is increased by a factor of 3, keeping the number of turns of the coil per unit length of the frame the same, then the self inductance of the coil:
[11 Jan. 2019 II]
Q.84 Correct
Q.84 In-correct
Q.84 Unattempt
A solid metal cube of edge length 2 cm is moving in a positive y-direction at a constant speed of 6 m/s. There is a uniform magnetic field of 0.1 T in the positive z-direction. The potential difference between the two faces of the cube perpendicular to the x-axis, is:
[10 Jan. 2019 I]
A solid metal cube of edge length 2 cm is moving in a positive y-direction at a constant speed of 6 m/s. There is a uniform magnetic field of 0.1 T in the positive z-direction. The potential difference between the two faces of the cube perpendicular to the x-axis, is:
[10 Jan. 2019 I]
Q.85 Correct
Q.85 In-correct
Q.85 Unattempt
An insulating thin rod of length l has a linear charge density ρ(x)=ρ0
x
l
on it. The rod is rotated about an axis passing through the origin (x=0) and perpendicular to the rod. If the rod makes n rotations per second, then the time averaged magnetic moment of the rod is:
[10 Jan. 2019 I]
An insulating thin rod of length l has a linear charge density ρ(x)=ρ0
x
l
on it. The rod is rotated about an axis passing through the origin (x=0) and perpendicular to the rod. If the rod makes n rotations per second, then the time averaged magnetic moment of the rod is:
[10 Jan. 2019 I]
Q.86 Correct
Q.86 In-correct
Q.86 Unattempt
A conducting circular loop made of a thin wire, has area 3.5×103m2 and resistance 10W. It is placed perpendicular to a time dependent magnetic field B (t) = (0.4T) sin (50pt). The the net charge flowing through the loop during t = 0 s and t = 10 ms is close to:
[9 Jan. 2019 I]
A conducting circular loop made of a thin wire, has area 3.5×103m2 and resistance 10W. It is placed perpendicular to a time dependent magnetic field B (t) = (0.4T) sin (50pt). The the net charge flowing through the loop during t = 0 s and t = 10 ms is close to:
[9 Jan. 2019 I]
Q.87 Correct
Q.87 In-correct
Q.87 Unattempt
The self induced emf of a coil is 25 volts. When the current in it is changed at uniiform rate from 10 A to 25 A in 1s, the change in the energy of the inductance is:
[9 Jan. 2019 II]
The self induced emf of a coil is 25 volts. When the current in it is changed at uniiform rate from 10 A to 25 A in 1s, the change in the energy of the inductance is:
[9 Jan. 2019 II]
Q.88 Correct
Q.88 In-correct
Q.88 Unattempt
A very long solenoid of radius R is carrying current I(t)=kteαt(k>0), as a function of time (t0). Counter clockwise current is taken to be positive. A circular conducting coil of radius 2R is placed in the equatorial plane of the solenoid and concentric with the solenoid. The current induced in the outer coil is correctly depicted, as a function of time, by:
[9 Apr. 2019 II]
A very long solenoid of radius R is carrying current I(t)=kteαt(k>0), as a function of time (t0). Counter clockwise current is taken to be positive. A circular conducting coil of radius 2R is placed in the equatorial plane of the solenoid and concentric with the solenoid. The current induced in the outer coil is correctly depicted, as a function of time, by:
[9 Apr. 2019 II]
Q.89 Correct
Q.89 In-correct
Q.89 Unattempt
Two coils ‘P’ and ‘Q’ are separated by some distance. When a current of 3A flows through coil ‘P’, a magnetic flux of 103 Wb passes through ‘Q’. No current is passed through‘Q’. When no current passes through ‘P’ and a current of 2A passes through ‘Q’, the flux through ‘P’ is:
[9 Apr. 2019 II]
Two coils ‘P’ and ‘Q’ are separated by some distance. When a current of 3A flows through coil ‘P’, a magnetic flux of 103 Wb passes through ‘Q’. No current is passed through‘Q’. When no current passes through ‘P’ and a current of 2A passes through ‘Q’, the flux through ‘P’ is:
[9 Apr. 2019 II]
Q.90 Correct
Q.90 In-correct
Q.90 Unattempt
The total number of turns and cross-section area in a solenoid is fixed. However, its length L is varied by adjusting the separation between windings. The inductance of solenoid will be proportional to :
[9 April 2019 I]
The total number of turns and cross-section area in a solenoid is fixed. However, its length L is varied by adjusting the separation between windings. The inductance of solenoid will be proportional to :
[9 April 2019 I]
Q.91 Correct
Q.91 In-correct
Q.91 Unattempt
A thin strip 10 cm long is on a U shaped wire of negligible resistance and it is connected to a spring of spring constant 0.5 Nm1 (see figure). The assembly is kept in a uniform magnetic field of 0.1 T. If the strip is pulled from its equilibrium position and released, the number of oscillations it performs before its amplitude decreases by a factor of e is N. If the mass of strip is 50 grams, its resistance 10Ω and air drag negligible, N will be close to :

[8 April 2019 I]
A thin strip 10 cm long is on a U shaped wire of negligible resistance and it is connected to a spring of spring constant 0.5 Nm1 (see figure). The assembly is kept in a uniform magnetic field of 0.1 T. If the strip is pulled from its equilibrium position and released, the number of oscillations it performs before its amplitude decreases by a factor of e is N. If the mass of strip is 50 grams, its resistance 10Ω and air drag negligible, N will be close to :

[8 April 2019 I]
Q.92 Correct
Q.92 In-correct
Q.92 Unattempt
The figure shows a square loop L of side 5 cm which is connected to a network of resistances. The whole setup is moving towards right with a constant speed of 1 cm s1. At some instant, a part of L is in a uniform magnetic field of 1 T, perpendicular to the plane of the loop. If the resistance of L is 1.7 &!, the current in the loop at that instant will be close to :

[12 Apr. 2019 I]
The figure shows a square loop L of side 5 cm which is connected to a network of resistances. The whole setup is moving towards right with a constant speed of 1 cm s1. At some instant, a part of L is in a uniform magnetic field of 1 T, perpendicular to the plane of the loop. If the resistance of L is 1.7 &!, the current in the loop at that instant will be close to :

[12 Apr. 2019 I]
Q.93 Correct
Q.93 In-correct
Q.93 Unattempt
A coil of cross-sectional area A having n turns is placed in a uniform magnetic field B. When it is rotated with an angular velocity w, the maximum e.m.f. induced in the coil will be
[Online April 16, 2018]
A coil of cross-sectional area A having n turns is placed in a uniform magnetic field B. When it is rotated with an angular velocity w, the maximum e.m.f. induced in the coil will be
[Online April 16, 2018]
Q.94 Correct
Q.94 In-correct
Q.94 Unattempt
An ideal capacitor of capacitance 0.2 µF is charged to a potential difference of 10V. The charging battery is then disconnected. The capacitor is then connected to an ideal inductor of self inductance 0.5mH. The current at a time when the potential difference across the capacitor is 5V, is:
[Online April 15, 2018]
An ideal capacitor of capacitance 0.2 µF is charged to a potential difference of 10V. The charging battery is then disconnected. The capacitor is then connected to an ideal inductor of self inductance 0.5mH. The current at a time when the potential difference across the capacitor is 5V, is:
[Online April 15, 2018]
Q.95 Correct
Q.95 In-correct
Q.95 Unattempt
A copper rod of mass m slides under gravity on two smooth parallel rails, with separation l and set at an angle of θ with the horizontal. At the bottom, rails are joined by a resistance R.There is a uniform magnetic field B normal to the plane of the rails, as shown in the figure. The terminal speed of the copper rod is:

[Online April 15, 2018]
A copper rod of mass m slides under gravity on two smooth parallel rails, with separation l and set at an angle of θ with the horizontal. At the bottom, rails are joined by a resistance R.There is a uniform magnetic field B normal to the plane of the rails, as shown in the figure. The terminal speed of the copper rod is:

[Online April 15, 2018]
Q.96 Correct
Q.96 In-correct
Q.96 Unattempt
At the centre of a fixed large circular coil of radius R, a much smaller circular coil of radius r is placed. The two coils are concentric and are in the same plane. The larger coil carries a current I. The smaller coil is set to rotate with a constant angular velocity ω about an axis along their common diameter. Calculate the emf induced in the smaller coil after a time t of its start of rotation.
[Online April 15, 2018]
At the centre of a fixed large circular coil of radius R, a much smaller circular coil of radius r is placed. The two coils are concentric and are in the same plane. The larger coil carries a current I. The smaller coil is set to rotate with a constant angular velocity ω about an axis along their common diameter. Calculate the emf induced in the smaller coil after a time t of its start of rotation.
[Online April 15, 2018]
Q.97 Correct
Q.97 In-correct
Q.97 Unattempt
In a coil of resistance 100 Ω , a current is induced by changing the magnetic flux through it as shown in the figure. The magnitude of change in flux through the coil is

[2017]
In a coil of resistance 100 Ω , a current is induced by changing the magnetic flux through it as shown in the figure. The magnitude of change in flux through the coil is

[2017]
Q.98 Correct
Q.98 In-correct
Q.98 Unattempt
A conducting metal circular-wire-loop of radius r is placed perpendicular to a magnetic field which varies with time asB=B0etτ, where B0 and tau are constants, at time t=0. If the resistance of the loop is R then the heat generated in the loop after a long time (t) is ;
[Online April 10,2016]
A conducting metal circular-wire-loop of radius r is placed perpendicular to a magnetic field which varies with time asB=B0etτ, where B0 and tau are constants, at time t=0. If the resistance of the loop is R then the heat generated in the loop after a long time (t) is ;
[Online April 10,2016]
Q.99 Correct
Q.99 In-correct
Q.99 Unattempt
When current in a coil changes from 5 A to 2 A in 0.1 s average voltage of 50 V is produced. The self - inductance of the coil is :
[Online April 10, 2015]
When current in a coil changes from 5 A to 2 A in 0.1 s average voltage of 50 V is produced. The self - inductance of the coil is :
[Online April 10, 2015]
Q.100 Correct
Q.100 In-correct
Q.100 Unattempt
Figure shows a circular area of radius R where a uniform magnetic field
B
is going into the plane of paper and increasing in magnitude at a constant rate. In that case, which of the following graphs, drawn schematically, correctly shows the variation of the induced electric field E(r)?
[Online April 19, 2014]

Figure shows a circular area of radius R where a uniform magnetic field
B
is going into the plane of paper and increasing in magnitude at a constant rate. In that case, which of the following graphs, drawn schematically, correctly shows the variation of the induced electric field E(r)?
[Online April 19, 2014]
Q.101 Correct
Q.101 In-correct
Q.101 Unattempt
A coil of circular cross-section having 1000 turns and 4 cm2 face area is placed with its axis parallel to a magnetic field which decreases by 102 Wb m2 in 0.01 s. The e.m.f. induced in the coil is:
[Online April 11, 2014]
A coil of circular cross-section having 1000 turns and 4 cm2 face area is placed with its axis parallel to a magnetic field which decreases by 102 Wb m2 in 0.01 s. The e.m.f. induced in the coil is:
[Online April 11, 2014]
Q.102 Correct
Q.102 In-correct
Q.102 Unattempt
A square frame of side 10 cm and a long straight wire carrying current 1 A are in the plate of the paper. Starting from close to the wire, the frame moves towards the right with a constant speed of 10 ms1 (see figure).
The e.m.f induced at the time the left arm of the frame is at x = 10 cm from the wire is:
[Online April 19, 2014]
A square frame of side 10 cm and a long straight wire carrying current 1 A are in the plate of the paper. Starting from close to the wire, the frame moves towards the right with a constant speed of 10 ms1 (see figure).

The e.m.f induced at the time the left arm of the frame is at x = 10 cm from the wire is:
[Online April 19, 2014]
Q.103 Correct
Q.103 In-correct
Q.103 Unattempt
A circular loop of radius 0.3 cm lies parallel to a much bigger circular loop of radius 20 cm. The centre of the small loop is on the axis of the bigger loop. The distance between their centres is 15 cm. If a current of 2.0 A flows through the smaller loop, then the flux linked with bigger loop is
[2013]
A circular loop of radius 0.3 cm lies parallel to a much bigger circular loop of radius 20 cm. The centre of the small loop is on the axis of the bigger loop. The distance between their centres is 15 cm. If a current of 2.0 A flows through the smaller loop, then the flux linked with bigger loop is
[2013]
Q.104 Correct
Q.104 In-correct
Q.104 Unattempt
Two coils, X and Y, are kept in close vicinity of each other. When a varying current, I(t), flows through coil X, the induced emf (V(t)) in coil Y, varies in the manner shown here. The variation of I(t), with time, can then be represented by the graph labelled as graph :

[Online April 9, 2013]
Two coils, X and Y, are kept in close vicinity of each other. When a varying current, I(t), flows through coil X, the induced emf (V(t)) in coil Y, varies in the manner shown here. The variation of I(t), with time, can then be represented by the graph labelled as graph :

[Online April 9, 2013]
Q.105 Correct
Q.105 In-correct
Q.105 Unattempt
A metallic rod of length ‘l’ is tied to a string of length 2l and made to rotate with angular speed ω on a horizontal table with one end of the string fixed. If there is a vertical magnetic field ‘B’ in the region, the e.m.f. induced across the ends of the rod is

[2013]
A metallic rod of length ‘l’ is tied to a string of length 2l and made to rotate with angular speed ω on a horizontal table with one end of the string fixed. If there is a vertical magnetic field ‘B’ in the region, the e.m.f. induced across the ends of the rod is

[2013]
Q.106 Correct
Q.106 In-correct
Q.106 Unattempt
A coil is suspended in a uniform magnetic field, with the plane of the coil parallel to the magnetic lines of force. When a current is passed through the coil it starts oscillating; It is very difficult to stop. But if an aluminium plate is placed near to the coil, it stops. This is due to :
[2012]
A coil is suspended in a uniform magnetic field, with the plane of the coil parallel to the magnetic lines of force. When a current is passed through the coil it starts oscillating; It is very difficult to stop. But if an aluminium plate is placed near to the coil, it stops. This is due to :
[2012]
Q.107 Correct
Q.107 In-correct
Q.107 Unattempt
Magnetic flux through a coil of resistance 10Ω is changed by Δϕ in 0.1 s. The resulting current in the coil varies with time as shown in the figure. Then |Δϕ| is equal to (in weber)

[Online May 12, 2012]
Magnetic flux through a coil of resistance 10Ω is changed by Δϕ in 0.1 s. The resulting current in the coil varies with time as shown in the figure. Then |Δϕ| is equal to (in weber)

[Online May 12, 2012]
Q.108 Correct
Q.108 In-correct
Q.108 Unattempt
A coil of self inductance L is connected at one end of two rails as shown in figure. A connector of length l, mass m can slide freely over the two parallel rails. The entire set up is placed in a magnetic field of induction B going into the page. At an instant t=0 an initial velocity v0 is imparted to it and as a result of that it starts moving along x -axis. The displacement of the connector is represented by the figure.

[Online May 19, 2012]
A coil of self inductance L is connected at one end of two rails as shown in figure. A connector of length l, mass m can slide freely over the two parallel rails. The entire set up is placed in a magnetic field of induction B going into the page. At an instant t=0 an initial velocity v0 is imparted to it and as a result of that it starts moving along x -axis. The displacement of the connector is represented by the figure.

[Online May 19, 2012]
Q.109 Correct
Q.109 In-correct
Q.109 Unattempt
This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one that best describes the two Statements.
Statement 1: Self inductance of a long solenoid of length L, total number of turns N and radius r is less than
πµ0N2r2
L
.
Statement 2 : The magnetic induction in the solenoid in Statement 1 carrying current I is
µ0NI
L
in the middle of the solenoid but becomes less as we move towards its ends.
[Online May 19, 2012]
This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one that best describes the two Statements.
Statement 1: Self inductance of a long solenoid of length L, total number of turns N and radius r is less than
πµ0N2r2
L
.
Statement 2 : The magnetic induction in the solenoid in Statement 1 carrying current I is
µ0NI
L
in the middle of the solenoid but becomes less as we move towards its ends.
[Online May 19, 2012]
Q.110 Correct
Q.110 In-correct
Q.110 Unattempt
A boat is moving due east in a region where the earth's magnetic field is 5.0times105NA1m1 due north and horizontal. The boat carries a vertical aerial 2m long. If the speed of the boat is 1.50ms1, the magnitude of the induced emf in the wire of aerial is:
[2011]
A boat is moving due east in a region where the earth's magnetic field is 5.0times105NA1m1 due north and horizontal. The boat carries a vertical aerial 2m long. If the speed of the boat is 1.50ms1, the magnitude of the induced emf in the wire of aerial is:
[2011]
Q.111 Correct
Q.111 In-correct
Q.111 Unattempt
A horizontal straight wire 20 m long extending from east to west falling with a speed of 5.0 m/s, at right angles to the horizontal component of the earth’s magnetic field 0.30×104Wb/m2. The instantaneous value of the e.m.f. induced in the wire will be
[2011 RS]
A horizontal straight wire 20 m long extending from east to west falling with a speed of 5.0 m/s, at right angles to the horizontal component of the earth’s magnetic field 0.30×104Wb/m2. The instantaneous value of the e.m.f. induced in the wire will be
[2011 RS]
Q.112 Correct
Q.112 In-correct
Q.112 Unattempt
A rectangular loop has a sliding connector PQ of length l and resistance Rω and it is moving with a speed v as shown. The set-up is placed in a uniform magnetic field going into the plane of the paper. The three currents I1,I2 and I are

[2010]
A rectangular loop has a sliding connector PQ of length l and resistance Rω and it is moving with a speed v as shown. The set-up is placed in a uniform magnetic field going into the plane of the paper. The three currents I1,I2 and I are

[2010]
Q.113 Correct
Q.113 In-correct
Q.113 Unattempt
Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area A=10cm2 and length =20cm. If one of the solenoid has 300 turns and the other 400 turns, their mutual inductance is (µ0=4π×107TmA1)
[2008]
Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area A=10cm2 and length =20cm. If one of the solenoid has 300 turns and the other 400 turns, their mutual inductance is (µ0=4π×107TmA1)
[2008]
Q.114 Correct
Q.114 In-correct
Q.114 Unattempt
The flux linked with a coil at any instant 't' is given by ϕ=10t250t+250. The induced emf at t=3s is
[2006]
The flux linked with a coil at any instant 't' is given by ϕ=10t250t+250. The induced emf at t=3s is
[2006]
Q.115 Correct
Q.115 In-correct
Q.115 Unattempt
One conducting U tube can slide inside another as shown in figure, maintaining electrical contacts between the tubes. The magnetic field B is perpendicular to the plane of the figure . If each tube moves towards the other at a constant speed v, then the emf induced in the circuit in terms of B, l and v where l is the width of each tube, will be

[2005]
One conducting U tube can slide inside another as shown in figure, maintaining electrical contacts between the tubes. The magnetic field B is perpendicular to the plane of the figure . If each tube moves towards the other at a constant speed v, then the emf induced in the circuit in terms of B, l and v where l is the width of each tube, will be

[2005]
Q.116 Correct
Q.116 In-correct
Q.116 Unattempt
A metal conductor of length 1 m rotates vertically about one of its ends at angular velocity 5 radians per second. If the horizontal component of earth’s magnetic field is 0.2×104 T,then the e.m.f. developed between the two ends of the conductor is
[2004]
A metal conductor of length 1 m rotates vertically about one of its ends at angular velocity 5 radians per second. If the horizontal component of earth’s magnetic field is 0.2×104 T,then the e.m.f. developed between the two ends of the conductor is
[2004]
Q.117 Correct
Q.117 In-correct
Q.117 Unattempt
A coil having n turns and resistance Rω is connected with a galvanometer of resistance 4Rω. This combination is moved in time t seconds from a magnetic field W1 weber to W2 weber. The induced current in the circuit is
[2004]
A coil having n turns and resistance Rω is connected with a galvanometer of resistance 4Rω. This combination is moved in time t seconds from a magnetic field W1 weber to W2 weber. The induced current in the circuit is
[2004]
Q.118 Correct
Q.118 In-correct
Q.118 Unattempt
Two coils are placed close to each other. The mutual inductance of the pair of coils depends upon
[2003]
Two coils are placed close to each other. The mutual inductance of the pair of coils depends upon
[2003]
Q.119 Correct
Q.119 In-correct
Q.119 Unattempt
When the current changes from +2 A to –2A in 0.05 second, an e.m.f. of 8 V is induced in a coil. The coefficient of self -induction of the coil is
[2003]
When the current changes from +2 A to –2A in 0.05 second, an e.m.f. of 8 V is induced in a coil. The coefficient of self -induction of the coil is
[2003]
Q.120 Correct
Q.120 In-correct
Q.120 Unattempt
A conducting square loop of side L and resistance R moves in its plane with a uniform velocity v perpendicular to one of its sides. A magnetic induction B constant in time and space, pointing perpendicular and into the plane at the loop exists everywhere with half the loop outside the field, as shown in figure. The induced emf is

[2002]
A conducting square loop of side L and resistance R moves in its plane with a uniform velocity v perpendicular to one of its sides. A magnetic induction B constant in time and space, pointing perpendicular and into the plane at the loop exists everywhere with half the loop outside the field, as shown in figure. The induced emf is

[2002]
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