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Solution
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
Two long straight wires P and Q carrying equal current 10A each were kept parallel to each other at 5‌cm distance. Magnitude of magnetic force experienced by 10‌cm length of wire P is F1. If distance between wires is halved and currents on them are doubled, force F2 on 10‌cm length of wire P will be :
[24-Jan-2023 Shift 1]
Two long straight wires P and Q carrying equal current 10A each were kept parallel to each other at 5‌cm distance. Magnitude of magnetic force experienced by 10‌cm length of wire P is F1. If distance between wires is halved and currents on them are doubled, force F2 on 10‌cm length of wire P will be :
[24-Jan-2023 Shift 1]
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
A circular loop of radius r is carrying current I A. The ratio of magnetic field at the centre of circular loop and at a distance r from the center of the loop on its axis is :
[24-Jan-2023 Shift 1]
A circular loop of radius r is carrying current I A. The ratio of magnetic field at the centre of circular loop and at a distance r from the center of the loop on its axis is :
[24-Jan-2023 Shift 1]
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
A long solenoid is formed by winding 70 turns cm−1. If 2.0A current flows, then the magnetic field produced inside the solenoid is___ (µ0=4π×10−7TmA−1)
[24-Jan-2023 Shift 2]
A long solenoid is formed by winding 70 turns cm−1. If 2.0A current flows, then the magnetic field produced inside the solenoid is___ (µ0=4π×10−7TmA−1)
[24-Jan-2023 Shift 2]
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
A single turn current loop in the shape of a right angle triangle with sides 5‌cm,12‌cm,13‌cm is carrying a current of 2A. The loop is in a uniform magnetic field of magnitude 0.75T whose direction is parallel to the current in the 13‌cm side of the loop. The magnitude of the magnetic force on the 5‌cm side will be ‌
x
130
N. The value of x is____
[24-Jan-2023 Shift 2]
A single turn current loop in the shape of a right angle triangle with sides 5‌cm,12‌cm,13‌cm is carrying a current of 2A. The loop is in a uniform magnetic field of magnitude 0.75T whose direction is parallel to the current in the 13‌cm side of the loop. The magnitude of the magnetic force on the 5‌cm side will be ‌
x
130
N. The value of x is____
[24-Jan-2023 Shift 2]
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
Math List I with List II

Choose the correct answer from the option given below:
[25-Jan-2023 Shift 1]
Math List I with List II

Choose the correct answer from the option given below:
[25-Jan-2023 Shift 1]
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
A solenoid of 1200 turns is wound uniformly in a single layer on a glass tube 2m long and 0.2m in diameter. The magnetic intensity at the center of the solenoid when a current of 2 A flows through it is:
[25-Jan-2023 Shift 1]
A solenoid of 1200 turns is wound uniformly in a single layer on a glass tube 2m long and 0.2m in diameter. The magnetic intensity at the center of the solenoid when a current of 2 A flows through it is:
[25-Jan-2023 Shift 1]
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
For a moving coil galvanometer, the deflection in the coil is 0.05‌rad when a current of 10‌mA is passed through it. If the torsional constant of suspension wire is 4.0×10−5‌Nm‌rad−1, the magnetic field is 0.01T and the number of turns in the coil is 200 , the area of each turn (in cm2 ) is :
[25-Jan-2023 Shift 2]
For a moving coil galvanometer, the deflection in the coil is 0.05‌rad when a current of 10‌mA is passed through it. If the torsional constant of suspension wire is 4.0×10−5‌Nm‌rad−1, the magnetic field is 0.01T and the number of turns in the coil is 200 , the area of each turn (in cm2 ) is :
[25-Jan-2023 Shift 2]
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
Two long parallel wires carrying currents 8A and 15A in opposite directions are placed at a distance of 7‌cm from each other. A point P is at equidistant from both the wires such that the lines joining the point P to the wires are perpendicular to each other. The magnitude of magnetic field at P is ______ ×10−6T. (Given : √2=1.4)
[25-Jan-2023 Shift 2]
Two long parallel wires carrying currents 8A and 15A in opposite directions are placed at a distance of 7‌cm from each other. A point P is at equidistant from both the wires such that the lines joining the point P to the wires are perpendicular to each other. The magnitude of magnetic field at P is ______ ×10−6T. (Given : √2=1.4)
[25-Jan-2023 Shift 2]
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
A single current carrying loop of wire carrying current I flowing in anticlockwise direction seen from +ve z direction and lying in xy plane in shown in figure. The plot of
^
j
 component of magnetic field (By) at a distance ' a ' (less than radius of the coil) and on yz plane vs z coordinate look like

[29-Jan-2023 Shift 1]
A single current carrying loop of wire carrying current I flowing in anticlockwise direction seen from +ve z direction and lying in xy plane in shown in figure. The plot of
^
j
 component of magnetic field (By) at a distance ' a ' (less than radius of the coil) and on yz plane vs z coordinate look like

[29-Jan-2023 Shift 1]
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
The magnitude of magnetic induction at mid-point O due to current arrangement as shown in Fig will be :

[29-Jan-2023 Shift 1]
The magnitude of magnetic induction at mid-point O due to current arrangement as shown in Fig will be :

[29-Jan-2023 Shift 1]
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
A square loop of area 25cm2 has a resistance of 10Ω. The loop is placed in uniform magnetic field of magnitude 40.0 T. The plane of loop is perpendicular to the magnetic field. The work done in pulling the loop out of the magnetic field slowly and uniformly in 1.0 sec, will be
[29-Jan-2023 Shift 2]
A square loop of area 25cm2 has a resistance of 10Ω. The loop is placed in uniform magnetic field of magnitude 40.0 T. The plane of loop is perpendicular to the magnetic field. The work done in pulling the loop out of the magnetic field slowly and uniformly in 1.0 sec, will be
[29-Jan-2023 Shift 2]
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
The electric current in a circular coil of four turns produces a magnetic induction 32T at its centre. The coil is unwound and is rewound into a circular coil of single turn, the magnetic induction at the centre of the coil by the same current will be :
[29-Jan-2023 Shift 2]
The electric current in a circular coil of four turns produces a magnetic induction 32T at its centre. The coil is unwound and is rewound into a circular coil of single turn, the magnetic induction at the centre of the coil by the same current will be :
[29-Jan-2023 Shift 2]
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
A massless square loop, of wire of resistance 10Ω. supporting a mass of I g. hangs vertically with one of its sides in a uniform magnetic field of 103G, directed outwards in the shaded region. A dc voltage V is applied to the loop. For what value of V. the magnetic force will exactly balance the weight of the supporting mass of 1g ?
(If sides of the loop =10‌cm,g=10ms−2 )

[30-Jan-2023 Shift 1]
A massless square loop, of wire of resistance 10Ω. supporting a mass of I g. hangs vertically with one of its sides in a uniform magnetic field of 103G, directed outwards in the shaded region. A dc voltage V is applied to the loop. For what value of V. the magnetic force will exactly balance the weight of the supporting mass of 1g ?
(If sides of the loop =10‌cm,g=10ms−2 )

[30-Jan-2023 Shift 1]
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
The magnetic moments associated with two closely wound circular coils A and B of radius rA=10‌cm and rB=20‌cm respectively are equal if: (Where NA,IA and NB,IB are number of turn and current of A and B respectively)
[30-Jan-2023 Shift 1]
The magnetic moments associated with two closely wound circular coils A and B of radius rA=10‌cm and rB=20‌cm respectively are equal if: (Where NA,IA and NB,IB are number of turn and current of A and B respectively)
[30-Jan-2023 Shift 1]
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
As shown in the figure, a current of 2A flowing in an equilateral triangle of side 4√3‌cm. The magnetic field at the centroid O of the triangle is:
(Neglect the effect of earth's magnetic field.)

[30-Jan-2023 Shift 2]
As shown in the figure, a current of 2A flowing in an equilateral triangle of side 4√3‌cm. The magnetic field at the centroid O of the triangle is:
(Neglect the effect of earth's magnetic field.)

[30-Jan-2023 Shift 2]
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
A current carrying rectangular loop PQRS is made of uniform wire. The length PR=QS=5‌cm and PQ=RS=100‌cm. If ammeter current reading changes from I to 2I, the ratio of magnetic forces per unit length on the wire PQ due to wire RS in the two cases respectively fPQI:fPQ2I is :

[30-Jan-2023 Shift 2]
A current carrying rectangular loop PQRS is made of uniform wire. The length PR=QS=5‌cm and PQ=RS=100‌cm. If ammeter current reading changes from I to 2I, the ratio of magnetic forces per unit length on the wire PQ due to wire RS in the two cases respectively fPQI:fPQ2I is :

[30-Jan-2023 Shift 2]
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
A rod with circular cross-section area 2cm2 and length 40‌cm is wound uniformly with 400 turns of an insulated wire. If a current of 0.4A flows in the wire windings, the total magnetic flux produced inside windings is 4π×10−6‌Wb. The relative permeability of the rod is
(Given : Permeability of vacuum
µ0=4π×10−7NA−2‌ ) ‌
[31-Jan-2023 Shift 1]
A rod with circular cross-section area 2cm2 and length 40‌cm is wound uniformly with 400 turns of an insulated wire. If a current of 0.4A flows in the wire windings, the total magnetic flux produced inside windings is 4π×10−6‌Wb. The relative permeability of the rod is
(Given : Permeability of vacuum
µ0=4π×10−7NA−2‌ ) ‌
[31-Jan-2023 Shift 1]
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
A bar magnet with a magnetic moment 5.0Am2 is placed in parallel position relative to a magnetic field of 0.4T. The amount of required work done in turning the magnet form parallel to antiparallel position relative to the field direction is ________.
[31-Jan-2023 Shift 1]
A bar magnet with a magnetic moment 5.0Am2 is placed in parallel position relative to a magnetic field of 0.4T. The amount of required work done in turning the magnet form parallel to antiparallel position relative to the field direction is ________.
[31-Jan-2023 Shift 1]
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
A long conducting wire having a current I flowing through it, is bent into a circular coil of N turns. Then it is bent into a circular coil of n turns. The magnetic field is calculated at the centre of coils in both the cases. The ratio of the magnetic field in first case to that of second case is :
[31-Jan-2023 Shift 2]
A long conducting wire having a current I flowing through it, is bent into a circular coil of N turns. Then it is bent into a circular coil of n turns. The magnetic field is calculated at the centre of coils in both the cases. The ratio of the magnetic field in first case to that of second case is :
[31-Jan-2023 Shift 2]
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
Find the magnetic field at the point P in figure. The curved portion is a semicircle connected to two long straight wires.

[1-Feb-2023 Shift 1]
Find the magnetic field at the point P in figure. The curved portion is a semicircle connected to two long straight wires.

[1-Feb-2023 Shift 1]
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
As shown in the figure, a long straight conductor with semicircular arc of radius ‌π∕10m is carrying current I=3A. The magnitude of the magnetic field. at the center O of the arc is:
(The permeability of the vacuum =4π×10−7NA−2 )

[1-Feb-2023 Shift 2]
As shown in the figure, a long straight conductor with semicircular arc of radius ‌π∕10m is carrying current I=3A. The magnitude of the magnetic field. at the center O of the arc is:
(The permeability of the vacuum =4π×10−7NA−2 )

[1-Feb-2023 Shift 2]
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
A coil is placed in magnetic field such that plane of coil is perpendicular to the direction of magnetic field. The magnetic flux through a coil can be changed:
A. By changing the magnitude of the magnetic field within the coil.
B. By changing the area of coil within the magnetic field.
C. By changing the angle between the direction of magnetic field and the plane of the coil.
D. By reversing the magnetic field direction abruptly without changing its magnitude.
Choose the most appropriate answer from the options given below:
[1-Feb-2023 Shift 2]
A coil is placed in magnetic field such that plane of coil is perpendicular to the direction of magnetic field. The magnetic flux through a coil can be changed:
A. By changing the magnitude of the magnetic field within the coil.
B. By changing the area of coil within the magnetic field.
C. By changing the angle between the direction of magnetic field and the plane of the coil.
D. By reversing the magnetic field direction abruptly without changing its magnitude.
Choose the most appropriate answer from the options given below:
[1-Feb-2023 Shift 2]
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
A square shaped coil of area 70cm2 having 600 turns rotates in a magnetic field of 0.4wbm−2, about an axis which is parallel to one of the side of the coil and perpendicular to the direction of field. If the coil completes 500 revolution in a minute, the instantaneous emf when the plane of the coil is inclined at 60∘ with the field, will be ______ V. (Take π=‌
22
7
 )
[1-Feb-2023 Shift 2]
A square shaped coil of area 70cm2 having 600 turns rotates in a magnetic field of 0.4wbm−2, about an axis which is parallel to one of the side of the coil and perpendicular to the direction of field. If the coil completes 500 revolution in a minute, the instantaneous emf when the plane of the coil is inclined at 60∘ with the field, will be ______ V. (Take π=‌
22
7
 )
[1-Feb-2023 Shift 2]
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
A long straight wire of circular cross-section (radius a) is carrying steady current I. The current I is uniformly distributed across this cross-section. The magnetic field is
[6-Apr-2023 shift 1]
A long straight wire of circular cross-section (radius a) is carrying steady current I. The current I is uniformly distributed across this cross-section. The magnetic field is
[6-Apr-2023 shift 1]
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
Two identical circular wires of radius 20‌cm and carrying current √2A are placed in perpendicular planes as shown in figure. The net magnetic field at the centre of the circular wires is _______ ×10−8T.
(Take π=3.14)

[6-Apr-2023 shift 1]
Two identical circular wires of radius 20‌cm and carrying current √2A are placed in perpendicular planes as shown in figure. The net magnetic field at the centre of the circular wires is _______ ×10−8T.
(Take π=3.14)

[6-Apr-2023 shift 1]
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
A proton with a kinetic energy of 2.0‌eV moves into a region of uniform magnetic field of magnitude ‌
π
2
×10−3T. The angle between the direction of magnetic field and velocity of proton is 60∘. The pitch of the helical path taken by the proton is _______ cm.
(Take, mass of proton =1.6×10−27‌kg and Charge on proton =1.6×10−19C ) .
[6-Apr-2023 shift 2]
A proton with a kinetic energy of 2.0‌eV moves into a region of uniform magnetic field of magnitude ‌
π
2
×10−3T. The angle between the direction of magnetic field and velocity of proton is 60∘. The pitch of the helical path taken by the proton is _______ cm.
(Take, mass of proton =1.6×10−27‌kg and Charge on proton =1.6×10−19C ) .
[6-Apr-2023 shift 2]
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
A charge particle moving in magnetic field B, has the components of velocity along B as well as perpendicular to B. The path of the charge particle will be
[8-Apr-2023 shift 1]
A charge particle moving in magnetic field B, has the components of velocity along B as well as perpendicular to B. The path of the charge particle will be
[8-Apr-2023 shift 1]
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
The magnetic intensity at the center of a long current carrying solenoid is found to be 1.6×103Am−1. If the number of turns is 8 per cm, then the current flowing through the solenoid is _______ A.
[8-Apr-2023 shift 1]
The magnetic intensity at the center of a long current carrying solenoid is found to be 1.6×103Am−1. If the number of turns is 8 per cm, then the current flowing through the solenoid is _______ A.
[8-Apr-2023 shift 1]
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
The ratio of magnetic field at the centre of a current carrying coil of radius r to the magnetic field at distance r from the centre of coil on its axis is √x:1. The value of x is _______.
[8-Apr-2023 shift 2]
The ratio of magnetic field at the centre of a current carrying coil of radius r to the magnetic field at distance r from the centre of coil on its axis is √x:1. The value of x is _______.
[8-Apr-2023 shift 2]
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
Given below are two statements :
Statements I : If the number of turns in the coil of a moving coil galvanometer is doubled then the current sensitivity becomes double.
Statements II : Increasing current sensitivity of a moving coil galvanometer by only increasing the number of turns in the coil will also increase its voltage sensitivity in the same ratio
In the light of the above statements, choose the correct answer from the options given below :
[10-Apr-2023 shift 1]
Given below are two statements :
Statements I : If the number of turns in the coil of a moving coil galvanometer is doubled then the current sensitivity becomes double.
Statements II : Increasing current sensitivity of a moving coil galvanometer by only increasing the number of turns in the coil will also increase its voltage sensitivity in the same ratio
In the light of the above statements, choose the correct answer from the options given below :
[10-Apr-2023 shift 1]
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
A straight wire carrying a current of 14A is bent into a semicircular arc of radius 2.2‌cm as shown in the figure. The magnetic field produced by the current at the centre (O) of the arc. is _______ ×10−4T

[10-Apr-2023 shift 2]
A straight wire carrying a current of 14A is bent into a semicircular arc of radius 2.2‌cm as shown in the figure. The magnetic field produced by the current at the centre (O) of the arc. is _______ ×10−4T

[10-Apr-2023 shift 2]
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
An electron is allowed to move with constant velocity along the axis of current carrying straight solenoid.
A. The electron will experience magnetic force along the axis of the solenoid.
B. The electron will not experience magnetic force.
C. The electron will continue to move along the axis of the solenoid.
D. The electron will be accelerated along the axis of the solenoid.
E. The electron will follow parabolic path-inside the solenoid.
Choose the correct answer from the options given below:
[11-Apr-2023 shift 2]
An electron is allowed to move with constant velocity along the axis of current carrying straight solenoid.
A. The electron will experience magnetic force along the axis of the solenoid.
B. The electron will not experience magnetic force.
C. The electron will continue to move along the axis of the solenoid.
D. The electron will be accelerated along the axis of the solenoid.
E. The electron will follow parabolic path-inside the solenoid.
Choose the correct answer from the options given below:
[11-Apr-2023 shift 2]
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
An electron is moving along the positive x-axis. If the uniform magnetic field is applied parallel to the negative z-axis, then
A. The electron will experience magnetic force along positive y-axis
B. The electron will experience magnetic force along negative y-axis
C. The electron will not experience any force in magnetic field
D. The electron will continue to move along the positive x-axis
E. The electron will move along circular path in magnetic field Choose the correct answer from the options given below :
[13-Apr-2023 shift 2]
An electron is moving along the positive x-axis. If the uniform magnetic field is applied parallel to the negative z-axis, then
A. The electron will experience magnetic force along positive y-axis
B. The electron will experience magnetic force along negative y-axis
C. The electron will not experience any force in magnetic field
D. The electron will continue to move along the positive x-axis
E. The electron will move along circular path in magnetic field Choose the correct answer from the options given below :
[13-Apr-2023 shift 2]
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
A straight wire AB of mass 40g and length 50‌cm is suspended by a pair of flexible leads in uniform magnetic field of magnitude 0.40T as shown in the figure. The magnitude of the current required in the wire to remove the tension in the supporting leads is _______ A. (. Take g=10ms−2)

[13-Apr-2023 shift 2]
A straight wire AB of mass 40g and length 50‌cm is suspended by a pair of flexible leads in uniform magnetic field of magnitude 0.40T as shown in the figure. The magnitude of the current required in the wire to remove the tension in the supporting leads is _______ A. (. Take g=10ms−2)

[13-Apr-2023 shift 2]
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
An election in a hydrogen atom revolves around its nucleus with a speed of 6.76×106ms−1 in an orbit of radius 0.52A∘. The magnetic field produced at the nucleus of the hydrogen atom is ______ T.
[15-Apr-2023 shift 1]
An election in a hydrogen atom revolves around its nucleus with a speed of 6.76×106ms−1 in an orbit of radius 0.52A∘. The magnetic field produced at the nucleus of the hydrogen atom is ______ T.
[15-Apr-2023 shift 1]
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
Given below are two statements : One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): In an uniform magnetic field, speed and energy remains the same for a moving charged particle.
Reason (R): Moving charged particle experiences magnetic force perpendicular to its direction of motion.
[24-Jun-2022-Shift-1]
Given below are two statements : One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): In an uniform magnetic field, speed and energy remains the same for a moving charged particle.
Reason (R): Moving charged particle experiences magnetic force perpendicular to its direction of motion.
[24-Jun-2022-Shift-1]
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
The magnetic field at the centre of a circular coil of radius r, due to current I flowing through it, is B. The magnetic field at a point along the axis at a distance ‌
r
2
 from the centre is :
[24-Jun-2022-Shift-1]
The magnetic field at the centre of a circular coil of radius r, due to current I flowing through it, is B. The magnetic field at a point along the axis at a distance ‌
r
2
 from the centre is :
[24-Jun-2022-Shift-1]
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
A proton, a deutron and an α-particle with same kinetic energy enter into a uniform magnetic field at right angle to magnetic field. The ratio of the radii of their respective circular paths is :
[24-Jun-2022-Shift-2]
A proton, a deutron and an α-particle with same kinetic energy enter into a uniform magnetic field at right angle to magnetic field. The ratio of the radii of their respective circular paths is :
[24-Jun-2022-Shift-2]
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
A long straight wire with a circular cross-section having radius R, is carrying a steady current I. The current I is uniformly distributed across this cross-section. Then the variation of magnetic field due to current I with distance r(r<R) from its centre will be :
[25-Jun-2022-Shift-1]
A long straight wire with a circular cross-section having radius R, is carrying a steady current I. The current I is uniformly distributed across this cross-section. Then the variation of magnetic field due to current I with distance r(r<R) from its centre will be :
[25-Jun-2022-Shift-1]
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
A long solenoid carrying a current produces a magnetic field B along its axis. If the current is doubled and the number of turns per cm is halved, the new value of magnetic field will be equal to
[25-Jun-2022-Shift-2]
A long solenoid carrying a current produces a magnetic field B along its axis. If the current is doubled and the number of turns per cm is halved, the new value of magnetic field will be equal to
[25-Jun-2022-Shift-2]
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
A proton and an alpha particle of the same velocity enter in a uniform magnetic field which is acting perpendicular to their direction of motion. The ratio of the radii of the circular paths described by the alpha particle and proton is :
[26-Jun-2022-Shift-1]
A proton and an alpha particle of the same velocity enter in a uniform magnetic field which is acting perpendicular to their direction of motion. The ratio of the radii of the circular paths described by the alpha particle and proton is :
[26-Jun-2022-Shift-1]
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
A bar magnet having a magnetic moment of 2.0×105JT−1, is placed along the direction of uniform magnetic field of magnitude B=14×10−5 T. The work done in rotating the magnet slowly through 60∘ from the direction of field is :

[26-Jun-2022-Shift-2]
A bar magnet having a magnetic moment of 2.0×105JT−1, is placed along the direction of uniform magnetic field of magnitude B=14×10−5 T. The work done in rotating the magnet slowly through 60∘ from the direction of field is :

[26-Jun-2022-Shift-2]
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
A metal surface is illuminated by a radiation of wavelength 4500
∘
A
. The ejected photo-electron enters a constant magnetic field of 2‌mT making an angle of 90∘ with the magnetic field. If it starts revolving in a circular path of radius 2‌mm, the work function of the metal is approximately :
[26-Jun-2022-Shift-2]
A metal surface is illuminated by a radiation of wavelength 4500
∘
A
. The ejected photo-electron enters a constant magnetic field of 2‌mT making an angle of 90∘ with the magnetic field. If it starts revolving in a circular path of radius 2‌mm, the work function of the metal is approximately :
[26-Jun-2022-Shift-2]
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
Two 10‌cm long, straight wires, each carrying a current of 5A are kept parallel to each other. If each wire experienced a force of 10−5N, then separation between the wires is _____ cm.
[26-Jun-2022-Shift-2]
Two 10‌cm long, straight wires, each carrying a current of 5A are kept parallel to each other. If each wire experienced a force of 10−5N, then separation between the wires is _____ cm.
[26-Jun-2022-Shift-2]
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
Two long parallel conductors S1 and S2 are separated by a distance 10‌cm and carrying currents of 4A and 2A respectively. The conductors are placed along X-axis in X−Y plane. There is a point P located between the conductors (as shown in figure).
A charge particle of 3π coulomb is passing through the point P with velocity
→
v
=(2
∧
i
+3
∧
j
)m∕s; where
∧
i
 and
∧
j
 represents unit vector along x&y axis respectively.
The force acting on the charge particle is 4π×10−5(−x
∧
i
+2
∧
j
)N. The value of x is :

[27-Jun-2022-Shift-2]
Two long parallel conductors S1 and S2 are separated by a distance 10‌cm and carrying currents of 4A and 2A respectively. The conductors are placed along X-axis in X−Y plane. There is a point P located between the conductors (as shown in figure).
A charge particle of 3π coulomb is passing through the point P with velocity
→
v
=(2
∧
i
+3
∧
j
)m∕s; where
∧
i
 and
∧
j
 represents unit vector along x&y axis respectively.
The force acting on the charge particle is 4π×10−5(−x
∧
i
+2
∧
j
)N. The value of x is :

[27-Jun-2022-Shift-2]
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
A deuteron and a proton moving with equal kinetic energy enter into a uniform magnetic field at right angle to the field. If rd and rp are the radii of their circular paths respectively, then the ratio ‌
rd
rp
 will be √x:1 where x is_____
[27-Jun-2022-Shift-2]
A deuteron and a proton moving with equal kinetic energy enter into a uniform magnetic field at right angle to the field. If rd and rp are the radii of their circular paths respectively, then the ratio ‌
rd
rp
 will be √x:1 where x is_____
[27-Jun-2022-Shift-2]
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
An infinitely long hollow conducting cylinder with radius R carries a uniform current along its surface.
Choose the correct representation of magnetic field (B) as a function of radial distance (r) from the axis of cylinder.
[28-Jun-2022-Shift-1]
An infinitely long hollow conducting cylinder with radius R carries a uniform current along its surface.
Choose the correct representation of magnetic field (B) as a function of radial distance (r) from the axis of cylinder.
[28-Jun-2022-Shift-1]
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
A singly ionized magnesium atom (A=24) ion is accelerated to kinetic energy 5‌keV, and is projected perpendicularly into a magnetic field B of the magnitude 0.5T. The radius of path formed will be _____cm.
[28-Jun-2022-Shift-1]
A singly ionized magnesium atom (A=24) ion is accelerated to kinetic energy 5‌keV, and is projected perpendicularly into a magnetic field B of the magnitude 0.5T. The radius of path formed will be _____cm.
[28-Jun-2022-Shift-1]
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
Two parallel, long wires are kept 0.20m apart in vacuum, each carrying current of xA in the same direction. If the force of attraction per meter of each wire is 2×10−6N, then the value of x is approximately :
[28-Jun-2022-Shift-2]
Two parallel, long wires are kept 0.20m apart in vacuum, each carrying current of xA in the same direction. If the force of attraction per meter of each wire is 2×10−6N, then the value of x is approximately :
[28-Jun-2022-Shift-2]
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
A coil is placed in a time varying magnetic field. If the number of turns in the coil were to be halved and the radius of wire doubled, the electrical power dissipated due to the current induced in the coil would be :
(Assume the coil to be short circuited.)
[28-Jun-2022-Shift-2]
A coil is placed in a time varying magnetic field. If the number of turns in the coil were to be halved and the radius of wire doubled, the electrical power dissipated due to the current induced in the coil would be :
(Assume the coil to be short circuited.)
[28-Jun-2022-Shift-2]
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
A charge particle moves along circular path in a uniform magnetic field in a cyclotron. The kinetic energy of the charge particle increases to 4 times its initial value. What will be the ratio of new radius to the original radius of circular path of the charge particle :
[29-Jun-2022-Shift-1]
A charge particle moves along circular path in a uniform magnetic field in a cyclotron. The kinetic energy of the charge particle increases to 4 times its initial value. What will be the ratio of new radius to the original radius of circular path of the charge particle :
[29-Jun-2022-Shift-1]
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
Two long current carrying conductors are placed parallel to each other at a distance of 8‌cm between them. The magnitude of magnetic field produced at mid-point between the two conductors due to current flowing in them is 300µT. The equal current flowing in the two conductors is:
[29-Jun-2022-Shift-2]
Two long current carrying conductors are placed parallel to each other at a distance of 8‌cm between them. The magnitude of magnetic field produced at mid-point between the two conductors due to current flowing in them is 300µT. The equal current flowing in the two conductors is:
[29-Jun-2022-Shift-2]
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
Two charged particles, having same kinetic energy, are allowed to pass through a uniform magnetic field perpendicular to the direction of motion. If the ratio of radii of their circular paths is 6:5 and their respective masses ratio is 9:4. Then, the ratio of their charges will be :
[25-Jul-2022-Shift-1]
Two charged particles, having same kinetic energy, are allowed to pass through a uniform magnetic field perpendicular to the direction of motion. If the ratio of radii of their circular paths is 6:5 and their respective masses ratio is 9:4. Then, the ratio of their charges will be :
[25-Jul-2022-Shift-1]
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
The electric current in a circular coil of 2 turns produces a magnetic induction B1 at its centre. The coil is unwound and in rewound into a circular coil of 5 tuns and the same current produces a magnetic induction B2 at its centre. The ratio of ‌
B2
B1
 is
[25-Jul-2022-Shift-2]
The electric current in a circular coil of 2 turns produces a magnetic induction B1 at its centre. The coil is unwound and in rewound into a circular coil of 5 tuns and the same current produces a magnetic induction B2 at its centre. The ratio of ‌
B2
B1
 is
[25-Jul-2022-Shift-2]
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
A charge particle is moving in a uniform magnetic field (2
∧
i
+3
∧
j
)T. If it has an acceleration of (α
∧
i
−4
∧
j
)m∕s2, then the value of α will be :
[26-Jul-2022-Shift-1]
A charge particle is moving in a uniform magnetic field (2
∧
i
+3
∧
j
)T. If it has an acceleration of (α
∧
i
−4
∧
j
)m∕s2, then the value of α will be :
[26-Jul-2022-Shift-1]
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
BX and BY are the magnetic fields at the centre of two coils X and Y respectively each carrying equal current. If coil X has 200 turns and 20‌cm radius and coil Y has 400 turns and 20‌cm radius, the ratio of BX and BY is :
[26-Jul-2022-Shift-1]
BX and BY are the magnetic fields at the centre of two coils X and Y respectively each carrying equal current. If coil X has 200 turns and 20‌cm radius and coil Y has 400 turns and 20‌cm radius, the ratio of BX and BY is :
[26-Jul-2022-Shift-1]
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
Two concentric circular loops of radii r1=30‌cm and r2=50‌cm are placed in X−Y plane as shown in the figure. A current I=7A is flowing through them in the direction as shown in figure. The net magnetic moment of this system of two circular loops is approximately :

[26-Jul-2022-Shift-2]
Two concentric circular loops of radii r1=30‌cm and r2=50‌cm are placed in X−Y plane as shown in the figure. A current I=7A is flowing through them in the direction as shown in figure. The net magnetic moment of this system of two circular loops is approximately :

[26-Jul-2022-Shift-2]
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
A cyclotron is used to accelerate protons. If the operating magnetic field is 1.0T and the radius of the cyclotron 'dees' is 60‌cm, the kinetic energy of the accelerated protons in MeV will be :
[use mp=1.6×10−27‌kg,e=1.6×10−19C ]
[27-Jul-2022-Shift-2]
A cyclotron is used to accelerate protons. If the operating magnetic field is 1.0T and the radius of the cyclotron 'dees' is 60‌cm, the kinetic energy of the accelerated protons in MeV will be :
[use mp=1.6×10−27‌kg,e=1.6×10−19C ]
[27-Jul-2022-Shift-2]
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
The current sensitivity of a galvanometer can be increased by :
(A) decreasing the number of turns
(B) increasing the magnetic freld
(C) decreasing the area of the coil
(D) decreasing the torsional constant of the spring
Choose the most appropriate answer from the options given below :
[28-Jul-2022-Shift-1]
The current sensitivity of a galvanometer can be increased by :
(A) decreasing the number of turns
(B) increasing the magnetic freld
(C) decreasing the area of the coil
(D) decreasing the torsional constant of the spring
Choose the most appropriate answer from the options given below :
[28-Jul-2022-Shift-1]
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
A uniform electric field E=(8m∕e)V∕m is created between two parallel plates of length 1m as shown in figure, (where m= mass of electron and e= charge of electron). An electron enters the field symmetrically between the plates with a speed of 2m∕ s. The angle of the deviation (θ) of the path of the electron as it comes out of the field will be________.

[28-Jul-2022-Shift-2]
A uniform electric field E=(8m∕e)V∕m is created between two parallel plates of length 1m as shown in figure, (where m= mass of electron and e= charge of electron). An electron enters the field symmetrically between the plates with a speed of 2m∕ s. The angle of the deviation (θ) of the path of the electron as it comes out of the field will be________.

[28-Jul-2022-Shift-2]
Q.61 Correct
Q.61 In-correct
Q.61 Unattempt
A triangular shaped wire carrying 10A current is placed in a uniform magnetic field of 0.5T, as shown in figure. The magnetic force on segment CD is
( Given BC=CD=BD=5‌cm.

[28-Jul-2022-Shift-2]
A triangular shaped wire carrying 10A current is placed in a uniform magnetic field of 0.5T, as shown in figure. The magnetic force on segment CD is
( Given BC=CD=BD=5‌cm.

[28-Jul-2022-Shift-2]
Q.62 Correct
Q.62 In-correct
Q.62 Unattempt
A closely wounded circular coil of radius 5‌cm produces a magnetic field of 37.68×10−4T at its center. The current through the coil is _______ A.
[Given, number of turns in the coil is 100 and π=3.14 ]
[29-Jul-2022-Shift-1]
A closely wounded circular coil of radius 5‌cm produces a magnetic field of 37.68×10−4T at its center. The current through the coil is _______ A.
[Given, number of turns in the coil is 100 and π=3.14 ]
[29-Jul-2022-Shift-1]
Q.63 Correct
Q.63 In-correct
Q.63 Unattempt
Magnetic fields at two points on the axis of a circular coil at a distance of 0.05m and 0.2m from the centre are in the ratio 8:1. The radius of coil is
[25 Feb 2021 Shift 1]
Magnetic fields at two points on the axis of a circular coil at a distance of 0.05m and 0.2m from the centre are in the ratio 8:1. The radius of coil is
[25 Feb 2021 Shift 1]
Q.64 Correct
Q.64 In-correct
Q.64 Unattempt
A proton, a deuteron and an alpha-particle are moving with same momentum in a uniform magnetic field. The ratio of magnetic forces acting on them is ......... and their speed is ......... in the ratio.
[25 Feb 2021 Shift 1]
A proton, a deuteron and an alpha-particle are moving with same momentum in a uniform magnetic field. The ratio of magnetic forces acting on them is ......... and their speed is ......... in the ratio.
[25 Feb 2021 Shift 1]
Q.65 Correct
Q.65 In-correct
Q.65 Unattempt
Four identical long solenoids A,B,C and D are connected to each other as shown in the figure. If the magnetic field at the centre of A is 3T, the field at the centre of C would be (Assume that, the magnetic field is confined with in the volume of respective solenoid)

[18 Mar 2021 Shift 1]
Four identical long solenoids A,B,C and D are connected to each other as shown in the figure. If the magnetic field at the centre of A is 3T, the field at the centre of C would be (Assume that, the magnetic field is confined with in the volume of respective solenoid)

[18 Mar 2021 Shift 1]
Q.66 Correct
Q.66 In-correct
Q.66 Unattempt
A hairpin like shape as shown in figure is made by bending a long current carrying wire. What is the magnitude of a magnetic field at point P which lies on the centre of the semicircle?

[17 Mar 2021 Shift 2]
A hairpin like shape as shown in figure is made by bending a long current carrying wire. What is the magnitude of a magnetic field at point P which lies on the centre of the semicircle?

[17 Mar 2021 Shift 2]
Q.67 Correct
Q.67 In-correct
Q.67 Unattempt
A proton and an α-particle, having kinetic energies Kp and Kα, respectively, enter into a magnetic field at right angles.
The ratio of the radii of trajectory of proton to that of α-particle is 2:1. The ratio of Kp:Kα is
[18 Mar 2021 Shift 2]
A proton and an α-particle, having kinetic energies Kp and Kα, respectively, enter into a magnetic field at right angles.
The ratio of the radii of trajectory of proton to that of α-particle is 2:1. The ratio of Kp:Kα is
[18 Mar 2021 Shift 2]
Q.68 Correct
Q.68 In-correct
Q.68 Unattempt
A charge Q is moving dl distance in the magnetic field B. Find the value of work done by B.
[16 Mar 2021 Shift 2]
A charge Q is moving dl distance in the magnetic field B. Find the value of work done by B.
[16 Mar 2021 Shift 2]
Q.69 Correct
Q.69 In-correct
Q.69 Unattempt
A loop of flexible wire of irregular shape carrying current is placed in an external magnetic field.
Identify the effect of the field on the wire.
[18 Mar 2021 Shift 1]
A loop of flexible wire of irregular shape carrying current is placed in an external magnetic field.
Identify the effect of the field on the wire.
[18 Mar 2021 Shift 1]
Q.70 Correct
Q.70 In-correct
Q.70 Unattempt
Figure A and B shown two long straight wires of circular cross-section (a and b with a < b), carrying current I which is uniformly distributed across the cross-section. The magnitude of magnetic field B varies with radius r and can be represented as :

[27 Jul 2021 Shift 2]
Figure A and B shown two long straight wires of circular cross-section (a and b with a < b), carrying current I which is uniformly distributed across the cross-section. The magnitude of magnetic field B varies with radius r and can be represented as :

[27 Jul 2021 Shift 2]
Q.71 Correct
Q.71 In-correct
Q.71 Unattempt
Match List I with List II.

Choose the correct answer from the options given below
[27 Jul 2021 Shift 2]
Match List I with List II.

Choose the correct answer from the options given below
[27 Jul 2021 Shift 2]
Q.72 Correct
Q.72 In-correct
Q.72 Unattempt
Two ions having same mass have charges in the ratio 1 : 2. They are projected normally in a uniform magnetic field with their speeds in the ratio 2 : 3. The ratio of the radii of their circular trajectories is :
[25 Jul 2021 Shift 2]
Two ions having same mass have charges in the ratio 1 : 2. They are projected normally in a uniform magnetic field with their speeds in the ratio 2 : 3. The ratio of the radii of their circular trajectories is :
[25 Jul 2021 Shift 2]
Q.73 Correct
Q.73 In-correct
Q.73 Unattempt
A deuteron and an alpha particle having equal kinetic energy enter perpendicular into a magnetic field. Let rd and rα be their respective radii of circular path. The value of
rd
rα
 is equal to :
[20 Jul 2021 Shift 1]
A deuteron and an alpha particle having equal kinetic energy enter perpendicular into a magnetic field. Let rd and rα be their respective radii of circular path. The value of
rd
rα
 is equal to :
[20 Jul 2021 Shift 1]
Q.74 Correct
Q.74 In-correct
Q.74 Unattempt
A coil having N turns is wound tightly in the form of a spiral with inner and outer radii a and b, respectively. Find the magnetic field at centre, when a current / passes through coil
[31 Aug 2021 Shift 1]
A coil having N turns is wound tightly in the form of a spiral with inner and outer radii a and b, respectively. Find the magnetic field at centre, when a current / passes through coil
[31 Aug 2021 Shift 1]
Q.75 Correct
Q.75 In-correct
Q.75 Unattempt
A current of 1.5A is flowing through a triangle, of side 9‌cm each. The magnetic field at the centroid of the triangle is
(Assume that, the current is flowing in the clockwise direction.)
[31 Aug 2021 Shift 2]
A current of 1.5A is flowing through a triangle, of side 9‌cm each. The magnetic field at the centroid of the triangle is
(Assume that, the current is flowing in the clockwise direction.)
[31 Aug 2021 Shift 2]
Q.76 Correct
Q.76 In-correct
Q.76 Unattempt
A co-axial cable consists of an inner wire of radius a surrounded by an outer shell of inner and outer radii b and c, respectively. The inner wire carries an electric current i0, which is distributed uniformly across cross-sectional area. The outer shell carries an equal current in opposite direction and distributed uniformly. What will be the ratio of the magnetic field at a distance x from the axis when (i) x < a and (ii) a < x < b ?
[27 Aug 2021 Shift 2]
A co-axial cable consists of an inner wire of radius a surrounded by an outer shell of inner and outer radii b and c, respectively.The inner wire carries an electric current i0, which is distributed uniformly across cross-sectional area. The outer shell carries an equal current in opposite direction and distributed uniformly. What will be the ratio of the magnetic field at a distance x from the axis when (i) x < a and (ii) a < x < b ?
[27 Aug 2021 Shift 2]
Q.77 Correct
Q.77 In-correct
Q.77 Unattempt
The fractional change in the magnetic field intensity at a distance r from centre on the axis of current carrying coil of radius a to the magnetic field intensity at the centre of the same coil is (Take, r < a)
[26 Aug 2021 Shift 1]
The fractional change in the magnetic field intensity at a distance r from centre on the axis of current carrying coil of radius a to the magnetic field intensity at the centre of the same coil is (Take, r < a)
[26 Aug 2021 Shift 1]
Q.78 Correct
Q.78 In-correct
Q.78 Unattempt
Two ions of masses 4 amu and 16 amu have charges +2e and +3e, respectively. These ions pass through the region of constant perpendicular magnetic field. The kinetic energy of both ions is same. Then,
[27 Aug 2021 Shift 1]
Two ions of masses 4 amu and 16 amu have charges +2e and +3e, respectively. These ions pass through the region of constant perpendicular magnetic field. The kinetic energy of both ions is same. Then,
[27 Aug 2021 Shift 1]
Q.79 Correct
Q.79 In-correct
Q.79 Unattempt
If the maximum value of accelerating potential provided by a radio frequency oscillator is 12‌kV . The number of revolution made by a proton in a cyclotron to achieve one sixth of the speed of light is......... .
[Given, mp=1.67×10−27‌kg,e=1.6×10−19C, c=3×108m∕s]
[26 Aug 2021 Shift 2]
If the maximum value of accelerating potential provided by a radio frequency oscillator is 12‌kV . The number of revolution made by a proton in a cyclotron to achieve one sixth of the speed of light is......... .
[Given, mp=1.67×10−27‌kg,e=1.6×10−19C, c=3×108m∕s]
[26 Aug 2021 Shift 2]
Q.80 Correct
Q.80 In-correct
Q.80 Unattempt
A coil in the shape of an equilateral triangle of s ide 10‌cm lies in a vertical plane between the pole pieces of permanent magnet producing a horizontal magnetic field 20‌mT. The torque acting on the coil when a current of 0.2A is passed through it and its plane becomes parallel to the magnetic field will be √x×10−5‌Nm. The value of x is......... .
[26 Aug 2021 Shift 2]
A coil in the shape of an equilateral triangle of s ide 10‌cm lies in a vertical plane between the pole pieces of permanent magnet producing a horizontal magnetic field 20‌mT. The torque acting on the coil when a current of 0.2A is passedthrough it and its plane becomes parallel to the magnetic field will be √x×10−5‌Nm. The value of x is......... .
[26 Aug 2021 Shift 2]
Q.81 Correct
Q.81 In-correct
Q.81 Unattempt
A uniform conducting wire of length is 24a, and resistance R is wound up as a current carrying coil in the shape of an equilateral triangle of side a and then in the form of a square of side a. The coil is connected to a voltage source V0. The ratio of magnetic moment of the coils in case of equilateral triangle to that for square is 1:√y. The value of where y is ......... .
[27 Aug 2021 Shift 1]
A uniform conducting wire of length is 24a, and resistance R is wound up as a current carrying coil in the shape of an equilateral triangle of side a and then in the form of a square of side a. The coil is connected to a voltage source V0. The ratio of magnetic moment of the coils in case of equilateral triangle to that for square is 1:√y. The value of where y is ......... .
[27 Aug 2021 Shift 1]
Q.82 Correct
Q.82 In-correct
Q.82 Unattempt
Two short magnetic dipoles m1 and m2 each having magnetic moment of 1 Am2 are placed at point O and P, respectively. The distance between OP is 1 m. The torque experienced by the magnetic dipole m2 due to the presence of m1is ...... ×10−7‌Nm.

[26 Aug 2021 Shift 1]
Two short magnetic dipoles m1 and m2 each having magnetic moment of 1 Am2 are placed at point O and P, respectively. The distance between OP is 1 m. The torque experienced by the magnetic dipole m2 due to the presence of m1is ...... ×10−7‌Nm.

[26 Aug 2021 Shift 1]
Q.83 Correct
Q.83 In-correct
Q.83 Unattempt
Consider a galvanometer shunted with 5Ω resistance and 2% of current passes through it. What is the resistance of the given galvanometer ?
[31 Aug 2021 Shift 1]
Consider a galvanometer shunted with 5Ω resistance and 2% of current passes through it. What is the resistance of the given galvanometer ?
[31 Aug 2021 Shift 1]
Q.84 Correct
Q.84 In-correct
Q.84 Unattempt
For full scale deflection of total 50 divisions, 50‌mV voltage is required in galvanometer.
The resistance of galvanometer if its current sensitivity is 2‌div∕mA will be
[27 Aug 2021 Shift 2]
For full scale deflection of total 50 divisions, 50‌mV voltage is required in galvanometer.
The resistance of galvanometer if its current sensitivity is 2‌div∕mA will be
[27 Aug 2021 Shift 2]
Q.85 Correct
Q.85 In-correct
Q.85 Unattempt
There are two infinitely long straight current carrying conductors and they are held at right angles to each other so that their common ends meet at the origin as shown in the figure given below. The ratio of current in both conductors is 1:1. The magnetic field at point P is

[1 Sep 2021 Shift 2]
There are two infinitely long straight current carrying conductors and they are held at right angles to each other so that their common ends meet at the origin as shown in the figure given below. The ratio of current in both conductors is 1:1. The magnetic field at point P is

[1 Sep 2021 Shift 2]
Q.86 Correct
Q.86 In-correct
Q.86 Unattempt
Proton with kinetic energy of 1MeV moves from south to north. It gets an acceleration of 1012m∕s2 by an applied magnetic field (west to east). The value of magnetic field:
(Rest mass of proton is 1.6×10−27kg )
[8 Jan 2020, I]
Proton with kinetic energy of 1MeV moves from south to north. It gets an acceleration of 1012m∕s2 by an applied magnetic field (west to east). The value of magnetic field:
(Rest mass of proton is 1.6×10−27kg )
[8 Jan 2020, I]
Q.87 Correct
Q.87 In-correct
Q.87 Unattempt
A long, straight wire of radius a carries a current distributed uniformly over its cross-section. The ratio of the magnetic fields due to the wire at distance
a
3
 and 2a respectively from the axis of the wire is:
[9 Jan 2020, I]
A long, straight wire of radius a carries a current distributed uniformly over its cross-section. The ratio of the magnetic fields due to the wire at distance
a
3
 and 2a respectively from the axis of the wire is:
[9 Jan 2020, I]
Q.88 Correct
Q.88 In-correct
Q.88 Unattempt
An electron gun is placed inside a long solenoid of radius R on its axis. The solenoid has n turns/length and carries a current I. The electron gun shoots an electron along the radius of the solenoid with speed v. If the electron does not hit the surface of the solenoid, maximum possible value of v is (all symbols have their standard meaning):

[9 Jan 2020, II]
An electron gun is placed inside a long solenoid of radius R on its axis. The solenoid has n turns/length and carries a current I. The electron gun shoots an electron along the radius of the solenoid with speed v. If the electron does not hit the surface of the solenoid, maximum possible value of v is (all symbols have their standard meaning):

[9 Jan 2020, II]
Q.89 Correct
Q.89 In-correct
Q.89 Unattempt
A very long wire ABDMNDC is shown in figure carrying current I. AB and BC parts are straight, long and at right angle. At D wire forms a circular turn DMND of radius R.
AB, BC parts are tangential to circular turn at N and D. Magnetic field at the centre of circle is:

[8 Jan 2020, II]
A very long wire ABDMNDC is shown in figure carrying current I. AB and BC parts are straight, long and at right angle. At D wire forms a circular turn DMND of radius R.
AB, BC parts are tangential to circular turn at N and D. Magnetic field at the centre of circle is:

[8 Jan 2020, II]
Q.90 Correct
Q.90 In-correct
Q.90 Unattempt
A small circular loop of conducting wire has radius a and carries current I. It is placed in a uniform magnetic field B perpendicular to its plane such that when rotated slightly about its diameter and released, it starts performing simple harmonic motion of time period T. If the mass of the loop is m then :
[9 Jan 2020, II]
A small circular loop of conducting wire has radius a and carries current I. It is placed in a uniform magnetic field B perpendicular to its plane such that when rotated slightly about its diameter and released, it starts performing simple harmonic motion of time period T. If the mass of the loop is m then :
[9 Jan 2020, II]
Q.91 Correct
Q.91 In-correct
Q.91 Unattempt
An electron is moving along +x direction with a velocity of 6‌times‌106‌ms−1. It enters a region of uniform electric field of 300V∕cm pointing along +y direction. The magnitude and direction of the magnetic field set up in this region such that the electron keeps moving along the x direction will be:
[Sep. 06, 2020 (I)]
An electron is moving along +x direction with a velocity of 6‌times‌106‌ms−1. It enters a region of uniform electric field of 300V∕cm pointing along +y direction. The magnitude and direction of the magnetic field set up in this region such that the electron keeps moving along the x direction will be:
[Sep. 06, 2020 (I)]
Q.92 Correct
Q.92 In-correct
Q.92 Unattempt
A particle of charge q and mass m is moving with a velocity −v
^
i
(v≠0) towards a large screen placed in the Y-Z plane at a distance d. If there is a magnetic field
→
B
=B0
^
k
, the minimum value of v for which the particle will not hit the screen is:
[Sep. 06, 2020 (I)]
A particle of charge q and mass m is moving with a velocity −v
^
i
(v≠0) towards a large screen placed in the Y-Z plane at a distance d. If there is a magnetic field
→
B
=B0
^
k
, the minimum value of v for which the particle will not hit the screen is:
[Sep. 06, 2020 (I)]
Q.93 Correct
Q.93 In-correct
Q.93 Unattempt
A charged particle carrying charge 1µC is moving with velocity (2
^
i
+3
^
j
+4
^
k
)ms−1. If an external magnetic field of (5
^
i
+3
^
j
−6
^
k
)×10−3T exists in the region where the particle is moving then the force on the particle is
→
F
×10−9N. The vector
→
F
 is:
[Sep. 03, 2020 (I)]
A charged particle carrying charge 1µC is moving with velocity (2
^
i
+3
^
j
+4
^
k
)ms−1. If an external magnetic field of (5
^
i
+3
^
j
−6
^
k
)×10−3T exists in the region where the particle is moving then the force on the particle is
→
F
×10−9N. The vector
→
F
 is:
[Sep. 03, 2020 (I)]
Q.94 Correct
Q.94 In-correct
Q.94 Unattempt
A beam of protons with speed 4×105ms−1 enters a uniform magnetic field of 0.3T at an angle of 60° to the magnetic field. The pitch of the resulting helical path of protons is close to : (Mass of the proton =1.67×10−27kg, charge of the proton =1.69×10−19C)
[Sep. 02, 2020 (I)]
A beam of protons with speed 4×105ms−1 enters a uniform magnetic field of 0.3T at an angle of 60° to the magnetic field. The pitch of the resulting helical path of protons is close to : (Mass of the proton =1.67×10−27kg, charge of the proton =1.69×10−19C)
[Sep. 02, 2020 (I)]
Q.95 Correct
Q.95 In-correct
Q.95 Unattempt
The figure shows a region of length ' l ' with a uniform magnetic field of 0.3T in it and a proton entering the region with velocity 4×105ms−1 making an angle 60° with the field. If the proton completes 10 revolution by the time it cross the region shown, ' l ' is close to (mass of proton =1.67×10−27kg, charge of the proton =1.6×10−19C)

[Sep. 02, 2020 (II)]
The figure shows a region of length ' l ' with a uniform magnetic field of 0.3T in it and a proton entering the region with velocity 4×105ms−1 making an angle 60° with the field. If the proton completes 10 revolution by the time it cross the region shown, ' l ' is close to (mass of proton =1.67×10−27kg, charge of the proton =1.6×10−19C)

[Sep. 02, 2020 (II)]
Q.96 Correct
Q.96 In-correct
Q.96 Unattempt
A charged particle going around in a circle can be considered to be a current loop. A particle of mass m carrying charge q is moving in a plane wit speed v under the influence of magnetic field
→
B
. The magnetic moment of this moving particle :
[Sep. 06, 2020 (II)]
A charged particle going around in a circle can be considered to be a current loop. A particle of mass m carrying charge q is moving in a plane wit speed v under the influence of magnetic field
→
B
. The magnetic moment of this moving particle :
[Sep. 06, 2020 (II)]
Q.97 Correct
Q.97 In-correct
Q.97 Unattempt
A wire A, bent in the shape of an arc of a circle, carrying a current of 2 A and having radius 2 cm and another wire B, also bent in the shape of arc of a circle, carrying a current of 3 A and having radius of 4 cm, are placed as shown in the figure. The ratio of the magnetic fields due to the wires A and B at the common centre O is :

[Sep. 04, 2020 (I)]
A wire A, bent in the shape of an arc of a circle, carrying a current of 2 A and having radius 2 cm and another wire B, also bent in the shape of arc of a circle, carrying a current of 3 A and having radius of 4 cm, are placed as shown in the figure. The ratio of the magnetic fields due to the wires A and B at the common centre O is :

[Sep. 04, 2020 (I)]
Q.98 Correct
Q.98 In-correct
Q.98 Unattempt
Magnitude of magnetic field (in SI units) at the centre of a hexagonal shape coil of side 10cm,50 turns and carrying current I (Ampere) in units of
µ0I
π
 is :
[Sep. 03,2020 (I)]
Magnitude of magnetic field (in SI units) at the centre of a hexagonal shape coil of side 10cm,50 turns and carrying current I (Ampere) in units of
µ0I
π
 is :
[Sep. 03,2020 (I)]
Q.99 Correct
Q.99 In-correct
Q.99 Unattempt
A square loop of side 2a and carrying current I is kept is xz plane with its centre at origin. A long wire carrying the same current I is placed parallel to z-axis and passing through point (0, b, 0), (b > > a). The magnitude of torque on the loop about z-axis will be :
[Sep. 06, 2020 (II)]
A square loop of side 2a and carrying current I is kept is xz plane with its centre at origin. A long wire carrying the same current I is placed parallel to z-axis and passing through point (0, b, 0), (b > > a). The magnitude of torque on the loop about z-axis will be :
[Sep. 06, 2020 (II)]
Q.100 Correct
Q.100 In-correct
Q.100 Unattempt
A square loop of side 2a, and carrying current I, is kept in XZ plane with its centre at origin. A long wire carrying the same current I is placed parallel to the z -axis and passing through the point (0,b,0),(b>>a). The magnitude of the torque on the loop about z -axis is given by :
[Sep. 05,2020 (I)]
A square loop of side 2a, and carrying current I, is kept in XZ plane with its centre at origin. A long wire carrying the same current I is placed parallel to the z -axis and passing through the point (0,b,0),(b>>a). The magnitude of the torque on the loop about z -axis is given by :
[Sep. 05,2020 (I)]
Q.101 Correct
Q.101 In-correct
Q.101 Unattempt
A wire carrying current I is bent in the shape ABCDEFA as shown, where rectangle ABCDA and ADEFA are perpendicular to each other. If the sides of the rectangles are of lengths a and b, then the magnitude and direction of magnetic moment of the loop ABCDEFA is :

[Sep. 02, 2020 (II)]
A wire carrying current I is bent in the shape ABCDEFA as shown, where rectangle ABCDA and ADEFA are perpendicular to each other. If the sides of the rectangles are of lengths a and b, then the magnitude and direction of magnetic moment of the loop ABCDEFA is :

[Sep. 02, 2020 (II)]
Q.102 Correct
Q.102 In-correct
Q.102 Unattempt
A galvanometer of resistance G is converted into a voltmeter of ragne 0−1V by connecting a resistance R1 in series with it. The additional resistance R1 in series with it. The additional resistance that should be connected in series with R1 to increase the range of the voltmeter to 0 −2V will be:
[Sep. 05, 2020 (I)]
A galvanometer of resistance G is converted into a voltmeter of ragne 0−1V by connecting a resistance R1 in series with it. The additional resistance R1 in series with it. The additional resistance that should be connected in series with R1 to increase the range of the voltmeter to 0 −2V will be:
[Sep. 05, 2020 (I)]
Q.103 Correct
Q.103 In-correct
Q.103 Unattempt
A galvanometer is used in laboratory for detecting the null point in electrical experiments. If, on passing a current of 6mA it produces a deflection of 2°, its figure of merit is close to :
[Sep. 05, 2020 (II)]
A galvanometer is used in laboratory for detecting the null point in electrical experiments. If, on passing a current of 6mA it produces a deflection of 2°, its figure of merit is close to :
[Sep. 05, 2020 (II)]
Q.104 Correct
Q.104 In-correct
Q.104 Unattempt
A galvanometer coil has 500 turns and each turn has an average area of 3×10−4m2. If a torque of 1.5Nm is required to keep this coil parallel to a magnetic field when a current of 0.5A is flowing through it, the strength of the field (in T) is _________ .
[NA Sep. 03, 2020 (II)]
A galvanometer coil has 500 turns and each turn has an average area of 3×10−4m2. If a torque of 1.5Nm is required to keep this coil parallel to a magnetic field when a current of 0.5A is flowing through it, the strength of the field (in T) is _________ .
[NA Sep. 03, 2020 (II)]
Q.105 Correct
Q.105 In-correct
Q.105 Unattempt
A proton and an α -particle (with their masses in the ratio of 1: 4 and charges in the ratio 1: 2 ) are accelerated from rest through a potential difference V. If a uniform magnetic field (B) is set up perpendicular to their velocities, the ratio of the radii rp:rα of the circular paths descrfibed by them will be:
[12 Jan 2019, I]
A proton and an α -particle (with their masses in the ratio of 1: 4 and charges in the ratio 1: 2 ) are accelerated from rest through a potential difference V. If a uniform magnetic field (B) is set up perpendicular to their velocities, the ratio of the radii rp:rα of the circular paths descrfibed by them will be:
[12 Jan 2019, I]
Q.106 Correct
Q.106 In-correct
Q.106 Unattempt
In an experiment, electrons are accelerated, from rest, by applying a voltage of 500V. Calculate the radius of the path if a magnetic field 100mT is then applied.
[Charge of the electron =1.6×10−19C
Mass of the electron =9.1×10−31kg]
[11 Jan 2019, I]
In an experiment, electrons are accelerated, from rest, by applying a voltage of 500V. Calculate the radius of the path if a magnetic field 100mT is then applied.
[Charge of the electron =1.6×10−19C
Mass of the electron =9.1×10−31kg]
[11 Jan 2019, I]
Q.107 Correct
Q.107 In-correct
Q.107 Unattempt
The region between y=0 and y=d contains a magnetic field
→
B
=B
^
z
. A particle of mass m and charge q enters the region with a velocity
→
v
=v
^
i
. if d=
mv
2qB
, the acceleration of the charged particle at the point of its emergence at the other side is :
[11 Jan 2019, II]
The region between y=0 and y=d contains a magnetic field
→
B
=B
^
z
. A particle of mass m and charge q enters the region with a velocity
→
v
=v
^
i
. if d=
mv
2qB
, the acceleration of the charged particle at the point of its emergence at the other side is :
[11 Jan 2019, II]
Q.108 Correct
Q.108 In-correct
Q.108 Unattempt
As shown in the figure, two infinitely long, identical wires are bent by 90° and placed in such a way that the segments LP and QM are along the x -axis, while segments PS and QN are parallel to the y -axis. If OP=OQ=4cm, and the magnitude of the magnetic field at O is 10−4T, and the two wires carry equal currents (see figure), the magnitude of the current in each wire and the direction of the magnetic field at O will be (µ0=4π×10−7NA−2):

""[12 Jan 2019, I]
As shown in the figure, two infinitely long, identical wires are bent by 90° and placed in such a way that the segments LP and QM are along the x -axis, while segments PS and QN are parallel to the y -axis. If OP=OQ=4cm, and the magnitude of the magnetic field at O is 10−4T, and the two wires carry equal currents (see figure), the magnitude of the current in each wire and the direction of the magnetic field at O will be (µ0=4π×10−7NA−2):

""[12 Jan 2019, I]
Q.109 Correct
Q.109 In-correct
Q.109 Unattempt
A current loop, having two circular arcs joined by two radial lines is shown in the figure. It carries a current of 10 A. The magnetic field at point O will be close to:

[9 Jan. 2019 I]
A current loop, having two circular arcs joined by two radial lines is shown in the figure. It carries a current of 10 A. The magnetic field at point O will be close to:

[9 Jan. 2019 I]
Q.110 Correct
Q.110 In-correct
Q.110 Unattempt
One of the two identical conducting wires of length L is bent in the form of a circular loop and the other one into a circular coil of N identical turns. If the same current is passed in both, the ratio of the magnetic field at the central of the loop (B1) to that at the centre of the coil (BC), i.e. ,
BL
BC
 will be:
[9 Jan 2019, II]
One of the two identical conducting wires of length L is bent in the form of a circular loop and the other one into a circular coil of N identical turns. If the same current is passed in both, the ratio of the magnetic field at the central of the loop (B1) to that at the centre of the coil (BC), i.e. ,
BL
BC
 will be:
[9 Jan 2019, II]
Q.111 Correct
Q.111 In-correct
Q.111 Unattempt
An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as shown. The radius of the loop is a and distance of its centre from the wire is d (d > > a). If the loop applies a force F on the wire then:

[9 Jan. 2019 I]
An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as shown. The radius of the loop is a and distance of its centre from the wire is d (d > > a). If the loop applies a force F on the wire then:

[9 Jan. 2019 I]
Q.112 Correct
Q.112 In-correct
Q.112 Unattempt
The galvanometer deflection, when key K1 is closed but K2 is open, equals theta0 (see figure). On closing K2 also and adjusting R2 to 5Ω, the deflection in galvanometer becomes
θ0
5
. The resistance of the galvanometer is, then, given by [Neglect the internal resistance of battery]:

[12 Jan 2019, I]
The galvanometer deflection, when key K1 is closed but K2 is open, equals theta0 (see figure). On closing K2 also and adjusting R2 to 5Ω, the deflection in galvanometer becomes
θ0
5
. The resistance of the galvanometer is, then, given by [Neglect the internal resistance of battery]:

[12 Jan 2019, I]
Q.113 Correct
Q.113 In-correct
Q.113 Unattempt
A galvanometer, whose resistance is 50‌ohm, has 25 divisions in it. When a current of 4×10−4 A passes through it, its needle (pointer) deflects by one division. To use this galvanometer as a voltmeter of range 2.5V, it should be connected to a resistance of :
[12 Jan 2019, II]
A galvanometer, whose resistance is 50‌ohm, has 25 divisions in it. When a current of 4×10−4 A passes through it, its needle (pointer) deflects by one division. To use this galvanometer as a voltmeter of range 2.5V, it should be connected to a resistance of :
[12 Jan 2019, II]
Q.114 Correct
Q.114 In-correct
Q.114 Unattempt
A galvanometer having a resistance of 20 Ω and 30 division on both sides has figure of merit 0.005 ampere/division. The resistance that should be connected in series such that it can be used as a voltmeter upto 15 volt, is:
[11 Jan 2019, II]
A galvanometer having a resistance of 20 Ω and 30 division on both sides has figure of merit 0.005 ampere/division. The resistance that should be connected in series such that it can be used as a voltmeter upto 15 volt, is:
[11 Jan 2019, II]
Q.115 Correct
Q.115 In-correct
Q.115 Unattempt
A galvanometer having a coil resistance 100 Ω gives a full scale deflection when a current of 1 mA is passed through it. What is the value of the resistance which can convert this galvanometer into a voltmeter giving full scale deflection for a potential difference of 10 V?
[8 Jan 2019, II]
A galvanometer having a coil resistance 100 Ω gives a full scale deflection when a current of 1 mA is passed through it. What is the value of the resistance which can convert this galvanometer into a voltmeter giving full scale deflection for a potential difference of 10 V?
[8 Jan 2019, II]
Q.116 Correct
Q.116 In-correct
Q.116 Unattempt
A proton, an electron, and a Helium nucleus, have the same energy. They are in circular orbits in a plane due to magnetic field perpendicular to the plane. Let rp,re and rHe be their respective radii, then,
[10 April 2019, I]
A proton, an electron, and a Helium nucleus, have the same energy. They are in circular orbits in a plane due to magnetic field perpendicular to the plane. Let rp,re and rHe be their respective radii, then,
[10 April 2019, I]
Q.117 Correct
Q.117 In-correct
Q.117 Unattempt
Two very long, straight, and insulated wires are kept at 90° angle from each other in xy -plane as shown in the figure.
These wires carry currents of equal magnitude I, whose directions are shown in the figure. The net magnetic field at point P will be:
[12 April 2019, I]
Two very long, straight, and insulated wires are kept at 90° angle from each other in xy -plane as shown in the figure.

These wires carry currents of equal magnitude I, whose directions are shown in the figure. The net magnetic field at point P will be:
[12 April 2019, I]
Q.118 Correct
Q.118 In-correct
Q.118 Unattempt
A thin ring of 10cm radius carries a uniformly distributed charge. The ring rotates at a constant angular speed of 40 À rad s−1 about its axis, perpendicular to its plane. If the magnetic field at its centre is 3.8×10−9T, then the charge carried by the ring is close to (µ0=4π×10−7N∕A2).
[12 April 2019, I]
A thin ring of 10cm radius carries a uniformly distributed charge. The ring rotates at a constant angular speed of 40 À rad s−1 about its axis, perpendicular to its plane. If the magnetic field at its centre is 3.8×10−9T, then the charge carried by the ring is close to (µ0=4π×10−7N∕A2).
[12 April 2019, I]
Q.119 Correct
Q.119 In-correct
Q.119 Unattempt
Find the magnetic field at point P due to a straight line segment AB of length 6cm carrying a current of 5A. (See figure) (µo=4π×10−7N−A−2)

[12 April 2019, II]
Find the magnetic field at point P due to a straight line segment AB of length 6cm carrying a current of 5A. (See figure) (µo=4π×10−7N−A−2)

[12 April 2019, II]
Q.120 Correct
Q.120 In-correct
Q.120 Unattempt
The magnitude of the magnetic field at the center of an equilateral triangular loop of side 1m which is carrying a current of 10 A is :
[ Take µ0=4π×10−7NA−2]
[10 April 2019, II]
The magnitude of the magnetic field at the center of an equilateral triangular loop of side 1m which is carrying a current of 10 A is :
[ Take µ0=4π×10−7NA−2]
[10 April 2019, II]
Q.121 Correct
Q.121 In-correct
Q.121 Unattempt
A square loop is carrying a steady current I and the magnitude of its magnetic dipole moment is m. If this square loop is changed to a circular loop and it carries the same current, the magnitude of the magnetic dipole moment of circular loop will be :
[10 April 2019, II]
A square loop is carrying a steady current I and the magnitude of its magnetic dipole moment is m. If this square loop is changed to a circular loop and it carries the same current, the magnitude of the magnetic dipole moment of circular loop will be :
[10 April 2019, II]
Q.122 Correct
Q.122 In-correct
Q.122 Unattempt
Two wires A & B are carrying currents I1 and I2 as shown in the figure. The separation between them is d. A third wire C carrying a current I is to be kept parallel to them at a distance x from A such that the net force acting on it is zero. The possible values of x are :

[10 April 2019, I]
Two wires A & B are carrying currents I1 and I2 as shown in the figure. The separation between them is d. A third wire C carrying a current I is to be kept parallel to them at a distance x from A such that the net force acting on it is zero. The possible values of x are :

[10 April 2019, I]
Q.123 Correct
Q.123 In-correct
Q.123 Unattempt
A rectangular coil (Dimension 5 cm × 2.5 cm) with 100 turns, carrying a current of 3 A in the clock-wise direction, is kept centered at the origin and in the X-Z plane. A magnetic field of 1 T is applied along X-axis. If the coil is tilted through 45° about Z-axis, then the torque on the coil is:
[9 April 2019 I]
A rectangular coil (Dimension 5 cm × 2.5 cm) with 100 turns, carrying a current of 3 A in the clock-wise direction, is kept centered at the origin and in the X-Z plane. A magnetic field of 1 T is applied along X-axis. If the coil is tilted through 45° about Z-axis, then the torque on the coil is:
[9 April 2019 I]
Q.124 Correct
Q.124 In-correct
Q.124 Unattempt
A rigid square of loop of side ‘a’ and carrying current I2 is lying on a horizontal surface near a long current I1 carrying wire in the same plane as shown in figure. The net force on the loop due to the wire will be:

[9 April 2019 I]
A rigid square of loop of side ‘a’ and carrying current I2 is lying on a horizontal surface near a long current I1 carrying wire in the same plane as shown in figure. The net force on the loop due to the wire will be:

[9 April 2019 I]
Q.125 Correct
Q.125 In-correct
Q.125 Unattempt
A circular coil having N turns and radius r carries a current I. It is held in the XZ plane in a magnetic field B. The torque on the coil due to the magnetic field is :
[8 April 2019 I]
A circular coil having N turns and radius r carries a current I. It is held in the XZ plane in a magnetic field B. The torque on the coil due to the magnetic field is :
[8 April 2019 I]
Q.126 Correct
Q.126 In-correct
Q.126 Unattempt
A galvanometer of resistance 100Ω has 50 divisions on its scale and has sensitivity of 20µA/ division. It is to be converted to a voltmeter with three ranges, of 0−2V,0−10 V and 0−20 V. The appropriate circuit to do so is :
[12 April 2019, I]
A galvanometer of resistance 100Ω has 50 divisions on its scale and has sensitivity of 20µA/ division. It is to be converted to a voltmeter with three ranges, of 0−2V,0−10 V and 0−20 V. The appropriate circuit to do so is :
[12 April 2019, I]
Q.127 Correct
Q.127 In-correct
Q.127 Unattempt
A moving coil galvanometer, having a resistance G, produces full scale deflection when a current Ig flows through it. This galvanometer can be converted into (i) an ammeter of range 0 to I0(I0>Ig) by connecting a shunt resistance RA to it and (ii) into a voltmeter of range 0 to V (V=GI0) by connecting a series resistance Rv to it. Then,
[12 April 2019, II]
A moving coil galvanometer, having a resistance G, produces full scale deflection when a current Ig flows through it. This galvanometer can be converted into (i) an ammeter of range 0 to I0(I0>Ig) by connecting a shunt resistance RA to it and (ii) into a voltmeter of range 0 to V (V=GI0) by connecting a series resistance Rv to it. Then,
[12 April 2019, II]
Q.128 Correct
Q.128 In-correct
Q.128 Unattempt
A moving coil galvanometer allows a full scale current of 10−4 A. A series resistance of 2MΩ is required to convert the above galvanometer into a voltmeter of range 0−5V. Therefore the value of shunt resistance required to convert the above galvanometer into an ammeter of range 0−10mA is :
[10 April 2019, I]
A moving coil galvanometer allows a full scale current of 10−4 A. A series resistance of 2MΩ is required to convert the above galvanometer into a voltmeter of range 0−5V. Therefore the value of shunt resistance required to convert the above galvanometer into an ammeter of range 0−10mA is :
[10 April 2019, I]
Q.129 Correct
Q.129 In-correct
Q.129 Unattempt
A moving coil galvanometer has resistance 50Ω and it indicates full deflection at 4 mA current. A voltmeter is made using this galvanometer and a 5kΩ resistance. The maximum voltage, that can be measured using this voltmeter, will be close to:
[9 April 2019 I]
A moving coil galvanometer has resistance 50Ω and it indicates full deflection at 4 mA current. A voltmeter is made using this galvanometer and a 5kΩ resistance. The maximum voltage, that can be measured using this voltmeter, will be close to:
[9 April 2019 I]
Q.130 Correct
Q.130 In-correct
Q.130 Unattempt
A moving coil galvanometer has a coil with 175 turns and area 1cm2. It uses a torsion band of torsion constant 10− ‌6N−m∕rad. The coil is placed in a magnetic field B parallel to its plane. The coil deflects by 1° for a current of 1mA. The value of B (in Tesla) is approximately:
[9 April 2019, II]
A moving coil galvanometer has a coil with 175 turns and area 1cm2. It uses a torsion band of torsion constant 10− ‌6N−m∕rad. The coil is placed in a magnetic field B parallel to its plane. The coil deflects by 1° for a current of 1mA. The value of B (in Tesla) is approximately:
[9 April 2019, II]
Q.131 Correct
Q.131 In-correct
Q.131 Unattempt
The resistance of a galvanometer is 50 ohm and the maximum current which can be passed through it is 0.002 A. What resistance must be connected to it order to convert it into an ammeter of range 0−0.5A?
[9 April 2019, II]
The resistance of a galvanometer is 50 ohm and the maximum current which can be passed through it is 0.002 A. What resistance must be connected to it order to convert it into an ammeter of range 0−0.5A?
[9 April 2019, II]
Q.132 Correct
Q.132 In-correct
Q.132 Unattempt
A particle having the same charge as of electron moves in a circular path of radius 0.5cm under the influence of a magnetic field of 0.5T. If an electric field of 100V∕mmakes it to move in a straight path then the mass of the particle is (Given charge of electron =1.6×10−19C)
[12 April 2019, I]
A particle having the same charge as of electron moves in a circular path of radius 0.5cm under the influence of a magnetic field of 0.5T. If an electric field of 100V∕mmakes it to move in a straight path then the mass of the particle is (Given charge of electron =1.6×10−19C)
[12 April 2019, I]
Q.133 Correct
Q.133 In-correct
Q.133 Unattempt
An electron, moving along the x -axis with an initial energy of 100eV, enters a region of magnetic field
→
B
=(1.5×10−3T)
^
k
 at S (see figure). The field extends between x=0 and x= 2cm. The electron is detected at the point Q on a screen placed 8cm away from the point S. The distance d between P and Q (on the screen) is:
(Electron's charge =1.6×10−19C, mass of electron =9.1×10−31kg)

[12 April 2019, II]
An electron, moving along the x -axis with an initial energy of 100eV, enters a region of magnetic field
→
B
=(1.5×10−3T)
^
k
 at S (see figure). The field extends between x=0 and x= 2cm. The electron is detected at the point Q on a screen placed 8cm away from the point S. The distance d between P and Q (on the screen) is:
(Electron's charge =1.6×10−19C, mass of electron =9.1×10−31kg)

[12 April 2019, II]
Q.134 Correct
Q.134 In-correct
Q.134 Unattempt
An electron, a proton and an alpha particle having the same kinetic energy are moving in circular orbits of radii re rp,rα respectively in a uniform magnetic field B. The relation between re,rp,rα is :
[2018]
An electron, a proton and an alpha particle having the same kinetic energy are moving in circular orbits of radii re rp,rα respectively in a uniform magnetic field B. The relation between re,rp,rα is :
[2018]
Q.135 Correct
Q.135 In-correct
Q.135 Unattempt
The dipole moment of a circular loop carrying a current I, is m and the magnetic field at the centre of the loop is B1. When the dipole moment is doubled by keeping the current current constant, the magnetic field at the centre of the loop is B2. The ratio
B1
B2
 is:
[2018]
The dipole moment of a circular loop carrying a current I, is m and the magnetic field at the centre of the loop is B1. When the dipole moment is doubled by keeping the current current constant, the magnetic field at the centre of the loop is B2. The ratio
B1
B2
 is:
[2018]
Q.136 Correct
Q.136 In-correct
Q.136 Unattempt
A Helmholtz coil has pair of loops, each with N turns and radius R. They are placed coaxially at distance R and the same current I flows through the loops in the same direction. The magnitude of magnetic field at P, midway between the centres A and C, is given by (Refer to figure):

[Online April 15, 2018]
A Helmholtz coil has pair of loops, each with N turns and radius R. They are placed coaxially at distance R and the same current I flows through the loops in the same direction. The magnitude of magnetic field at P, midway between the centres A and C, is given by (Refer to figure):

[Online April 15, 2018]
Q.137 Correct
Q.137 In-correct
Q.137 Unattempt
A current of 1A is flowing on the sides of an equilateral triangle of side 4.5×10−2m. The magnetic field at the centre of the triangle will be:
[Online April 15, 2018]
A current of 1A is flowing on the sides of an equilateral triangle of side 4.5×10−2m. The magnetic field at the centre of the triangle will be:
[Online April 15, 2018]
Q.138 Correct
Q.138 In-correct
Q.138 Unattempt
A charge q is spread uniformly over an insulated loop of radius r . If it is rotated with an angular velocity ω with respect to normal axis then the magnetic moment of the loop is
[Online April 16, 2018]
A charge q is spread uniformly over an insulated loop of radius r . If it is rotated with an angular velocity ω with respect to normal axis then the magnetic moment of the loop is
[Online April 16, 2018]
Q.139 Correct
Q.139 In-correct
Q.139 Unattempt
In a circuit for finding the resistance of a galvanometer by half deflection method, a 6 V battery and a high resistance of 11kΩ are used. The figure of merit of the galvanometer 60µA/division. In the absence of shunt resistance, the galvanometer produces a deflection of θ = 9 divisions when current flows in the circuit. The value of the shunt resistance that can cause the deflection of θ/2 , is closest to
[Online April 16, 2018]
In a circuit for finding the resistance of a galvanometer by half deflection method, a 6 V battery and a high resistance of 11kΩ are used. The figure of merit of the galvanometer 60µA/division. In the absence of shunt resistance, the galvanometer produces a deflection of θ = 9 divisions when current flows in the circuit. The value of the shunt resistance that can cause the deflection of θ/2 , is closest to
[Online April 16, 2018]
Q.140 Correct
Q.140 In-correct
Q.140 Unattempt
A galvanometer with its coil resistance 25Ω requires a current of 1mA for its full deflection. In order to construct an ammeter to read up to a current of 2A, the approximate value of the shunt resistance should be
[Online April 16,2018]
A galvanometer with its coil resistance 25Ω requires a current of 1mA for its full deflection. In order to construct an ammeter to read up to a current of 2A, the approximate value of the shunt resistance should be
[Online April 16,2018]
Q.141 Correct
Q.141 In-correct
Q.141 Unattempt
A negative test charge is moving near a long straight wire carrying a current. The force acting on the test charge is parallel to the direction of the current. The motion of the charge is :
[Online April 9, 2017]
A negative test charge is moving near a long straight wire carrying a current. The force acting on the test charge is parallel to the direction of the current. The motion of the charge is :
[Online April 9, 2017]
Q.142 Correct
Q.142 In-correct
Q.142 Unattempt
In a certain region static electric and magnetic fields exist. The magnetic field is given by
→
B
=B0(
^
i
+2
^
j
−4
^
k
). If a test charge moving with a velocity
→
v
=v0(3
^
i
−
^
j
+2
^
k
) experiences no force in that region, then the electric field in the region, in SI units, is :
[Online April 8, 2017]
In a certain region static electric and magnetic fields exist. The magnetic field is given by
→
B
=B0(
^
i
+2
^
j
−4
^
k
). If a test charge moving with a velocity
→
v
=v0(3
^
i
−
^
j
+2
^
k
) experiences no force in that region, then the electric field in the region, in SI units, is :
[Online April 8, 2017]
Q.143 Correct
Q.143 In-correct
Q.143 Unattempt
A uniform magnetic field B of 0.3 T is along the positive Z direction. A rectangular loop (abcd) of sides 10 cm × 5 cm carries a current 1 of 12 A. Out of the following different orientations which one corresponds to stable equilibrium ?
[Online April 9, 2017]
A uniform magnetic field B of 0.3 T is along the positive Zdirection. A rectangular loop (abcd) of sides 10 cm × 5 cm carries a current 1 of 12 A. Out of the following different orientations which one corresponds to stable equilibrium ?
[Online April 9, 2017]
Q.144 Correct
Q.144 In-correct
Q.144 Unattempt
When a current of 5 mA is passed through a galvanometer having a coil of resistance 15Ω, it shows full scale deflection. The value of the resistance to be put in series with the galvanometer to convert it into to voltmeter of range 0−10V is
[2017]
When a current of 5 mA is passed through a galvanometer having a coil of resistance 15Ω, it shows full scale deflection. The value of the resistance to be put in series with the galvanometer to convert it into to voltmeter of range 0−10V is
[2017]
Q.145 Correct
Q.145 In-correct
Q.145 Unattempt
Consider a thin metallic sheet perpendicular to the plane of the paper moving with speed 'v' in a uniform magnetic field B going into the plane of the paper (See figure). If charge densities σ1 and σ2 are induced on the left and right surfaces, respectively, of the sheet then (ignore fringe effects):

[Online April 10, 2016]
Consider a thin metallic sheet perpendicular to the plane of the paper moving with speed 'v' in a uniform magnetic field B going into the plane of the paper (See figure). If charge densities σ1 and σ2 are induced on the left and right surfaces, respectively, of the sheet then (ignore fringe effects):

[Online April 10, 2016]
Q.146 Correct
Q.146 In-correct
Q.146 Unattempt
Two identical wires A and B, each of length ′l′, carry the same current I. Wire A is bent into a circle of radius R and wire B is bent to form a square of side a′. If BA and BB are the values of magnetic field at the centres of the circle and square respectively, then the ratio
BA
BB
 is:
[2016]
Two identical wires A and B, each of length ′l′, carry the same current I. Wire A is bent into a circle of radius R and wire B is bent to form a square of side a′. If BA and BB are the values of magnetic field at the centres of the circle and square respectively, then the ratio
BA
BB
 is:
[2016]
Q.147 Correct
Q.147 In-correct
Q.147 Unattempt
A galvanometer having a coil resistance of 100 Ω gives a full scale deflection, when a current of 1 mA is passed through it. The value of the resistance, which can convert this galvanometer into ammeter giving a full scale deflection for a current of 10 A, is :
[2016]
A galvanometer having a coil resistance of 100 Ω gives a full scale deflection, when a current of 1 mA is passed through it. The value of the resistance, which can convert this galvanometer into ammeter giving a full scale deflection for a current of 10 A, is :
[2016]
Q.148 Correct
Q.148 In-correct
Q.148 Unattempt
A 50Ω resistance is connected to a battery of 5V. A galvanometer of resistance 100Ω is to be used as an ammeter to measure current through the resistance, for this a resistance rs is connected to the galvanometer. Which of the following connections should be employed if the measured current is within 1% of the current without the ammeter in the circuit?
[Online April 9,2016]
A 50Ω resistance is connected to a battery of 5V. A galvanometer of resistance 100Ω is to be used as an ammeter to measure current through the resistance, for this a resistance rs is connected to the galvanometer. Which of the following connections should be employed if the measured current is within 1% of the current without the ammeter in the circuit?
[Online April 9,2016]
Q.149 Correct
Q.149 In-correct
Q.149 Unattempt
To know the resistance G of a galvanometer by half deflection method, a battery of emfVE and resistance R is used to deflect the galvanometer by angle theta. If a shunt of resistance S is needed to get half deflection then G,R and S related by the equation:
[Online April 9, 2016]
To know the resistance G of a galvanometer by half deflection method, a battery of emfVE and resistance R is used to deflect the galvanometer by angle theta. If a shunt of resistance S is needed to get half deflection then G,R and S related by the equation:
[Online April 9, 2016]
Q.150 Correct
Q.150 In-correct
Q.150 Unattempt
A proton (mass m ) accelerated by a potential difference V flies through a uniform transverse magnetic field B. The field occupies a region of space by width ' d '. If α be the angle of deviation of proton from initial direction of motion (see figure), the value of sin‌α will be

[Online April 10, 2015]
A proton (mass m ) accelerated by a potential difference V flies through a uniform transverse magnetic field B. The field occupies a region of space by width ' d '. If α be the angle of deviation of proton from initial direction of motion (see figure), the value of sin‌α will be

[Online April 10, 2015]
Q.151 Correct
Q.151 In-correct
Q.151 Unattempt
Two long current carrying thin wires, both with current I, are held by insulating threads of length L and are in equilibrium as shown in the figure, with threads making an angle ' θ ' with the vertical. If wires have mass λ per unit length then the value of I is :
(g= gravitational acceleration )

[2015]
Two long current carrying thin wires, both with current I, are held by insulating threads of length L and are in equilibrium as shown in the figure, with threads making an angle ' θ ' with the vertical. If wires have mass λ per unit length then the value of I is :
(g= gravitational acceleration )

[2015]
Q.152 Correct
Q.152 In-correct
Q.152 Unattempt
Two coaxial solenoids of different radius carry current I in the same direction.
→
F
1 be the magnetic force on the inner solenoid due to the outer one and
→
F
2 be the magnetic force on the outer solenoid due to the inner one. Then :
[2015]
Two coaxial solenoids of different radius carry current I in the same direction.
→
F
1 be the magnetic force on the inner solenoid due to the outer one and
→
F
2 be the magnetic force on the outer solenoid due to the inner one. Then :
[2015]
Q.153 Correct
Q.153 In-correct
Q.153 Unattempt
A rectangular loop of sides 10 cm and 5 cm carrying a current 1 of 12 A is placed in different orientations as shown in the figures below :

If there is a uniform magnetic field of 0.3T in the positive z direction, in which orientations the loop would be in (i) stable equilibrium and (ii) unstable equilibrium?
[2015]
A rectangular loop of sides 10 cm and 5 cm carrying a current 1 of 12 A is placed in different orientations as shown in the figures below :

If there is a uniform magnetic field of 0.3T in the positive z direction, in which orientations the loop would be in (i) stable equilibrium and (ii) unstable equilibrium?
[2015]
Q.154 Correct
Q.154 In-correct
Q.154 Unattempt
Two long straight parallel wires, carrying (adjustable) current I1 and I2, are kept at a distance d apart. If the force 'F' between the two wires is taken as 'positive' when the wires repel each other and 'negative' when the wires attract each other, the graph showing the dependence of F′, on the product I1I2, would be :
[Online April 11, 2015]
Two long straight parallel wires, carrying (adjustable) current I1 and I2, are kept at a distance d apart. If the force 'F' between the two wires is taken as 'positive' when the wires repel each other and 'negative' when the wires attract each other, the graph showing the dependence of F′, on the product I1I2, would be :
[Online April 11, 2015]
Q.155 Correct
Q.155 In-correct
Q.155 Unattempt
A wire carrying current I is tied between points P and Q and is in the shape of a circular arc of radius R due to a uniform magnetic field B (perpendicular to the plane of the paper, shown by xxx ) in the vicinity of the wire. If the wire subtends an angle 2θ0 at the centre of the circle (of which it forms an arc) then the tension in the wire is :

[Online April 11, 2015]
A wire carrying current I is tied between points P and Q and is in the shape of a circular arc of radius R due to a uniform magnetic field B (perpendicular to the plane of the paper, shown by xxx ) in the vicinity of the wire. If the wire subtends an angle 2θ0 at the centre of the circle (of which it forms an arc) then the tension in the wire is :

[Online April 11, 2015]
Q.156 Correct
Q.156 In-correct
Q.156 Unattempt
The AC voltage across a resistance can be measured using a :
[Online April 11, 2015]
The AC voltage across a resistance can be measured using a :
[Online April 11, 2015]
Q.157 Correct
Q.157 In-correct
Q.157 Unattempt
A positive charge 'q' of mass ' m ' is moving along the +x axis. We wish to apply a uniform magnetic field B for time Δt so that the charge reverses its direction crossing the y axis at a distance d. Then:
[Online April 12, 2014]
A positive charge 'q' of mass ' m ' is moving along the +x axis. We wish to apply a uniform magnetic field B for time Δt so that the charge reverses its direction crossing the y axis at a distance d. Then:
[Online April 12, 2014]
Q.158 Correct
Q.158 In-correct
Q.158 Unattempt
Consider two thin identical conducting wires covered with very thin insulating material. One of the wires is bent into a loop and produces magnetic field B1, at its centre when a current I passes through it. The ratio B1 : B2 is:
[Online April 12, 2014]
Consider two thin identical conducting wires covered with very thin insulating material. One of the wires is bent into a loop and produces magnetic field B1, at its centre when a current I passes through it. The ratio B1 : B2 is:
[Online April 12, 2014]
Q.159 Correct
Q.159 In-correct
Q.159 Unattempt
A conductor lies along the z -axis at −1.5≤z<1.5m and carries a fixed current of 10.0 A in −
^
a
z direction (see figure). For a field
→
B
=3.0×10−4e−0.2x
^
a
yT, find the power required to move the conductor at constant speed to x=2.0m y=0m in 5×10−3s. Assume parallel motion along the X-axis.

[2014]
A conductor lies along the z -axis at −1.5≤z<1.5m and carries a fixed current of 10.0 A in −
^
a
z direction (see figure). For a field
→
B
=3.0×10−4e−0.2x
^
a
yT, find the power required to move the conductor at constant speed to x=2.0m y=0m in 5×10−3s. Assume parallel motion along the X-axis.

[2014]
Q.160 Correct
Q.160 In-correct
Q.160 Unattempt
Three straight parallel current carrying conductors are shown in the figure. The force experienced by the middle conductor of length 25cm is:

[Online April 11, 2014]
Three straight parallel current carrying conductors are shown in the figure. The force experienced by the middle conductor of length 25cm is:

[Online April 11, 2014]
Q.161 Correct
Q.161 In-correct
Q.161 Unattempt
In the circuit diagrams (A, B, C and D) shown below, R is a high resistance and S is a resistance of the order of galvanometer resistance G. The correct circuit, corresponding to the half deflection method for finding the resistance and figure of merit of the galvanometer, is the circuit labelled as:

[Online April 11, 2014]
In the circuit diagrams (A, B, C and D) shown below, R is a high resistance and S is a resistance of the order of galvanometer resistance G. The correct circuit, corresponding to the half deflection method for finding the resistance and figure of merit of the galvanometer, is the circuit labelled as:

[Online April 11, 2014]
Q.162 Correct
Q.162 In-correct
Q.162 Unattempt
A particle of charge 16×10−16C moving with velocity 10ms−1 along x -axis enters a region where magnetic field of induction
→
B
 is along the y -axis and an electric field of magnitude 104Vm−1 is along the negativez -axis. If the charged particle continues moving along x -axis, the magnitude of
→
B
 is:
[Online April 23, 2013]
A particle of charge 16×10−16C moving with velocity 10ms−1 along x -axis enters a region where magnetic field of induction
→
B
 is along the y -axis and an electric field of magnitude 104Vm−1 is along the negativez -axis. If the charged particle continues moving along x -axis, the magnitude of
→
B
 is:
[Online April 23, 2013]
Q.163 Correct
Q.163 In-correct
Q.163 Unattempt
A parallel plate capacitor of area 60cm2 and separation 3 mm is charged initially to 90µC. If the medium between the plate gets slightly conducting and the plate loses the charge initially at the rate of 2.5×10−8C∕s, then what is the magnetic field between the plates?
[Online April 23,2013]
A parallel plate capacitor of area 60cm2 and separation 3 mm is charged initially to 90µC. If the medium between the plate gets slightly conducting and the plate loses the charge initially at the rate of 2.5×10−8C∕s, then what is the magnetic field between the plates?
[Online April 23,2013]
Q.164 Correct
Q.164 In-correct
Q.164 Unattempt
A current i is flowing in a straight conductor of length L. The magnetic induction at a point on its axis at a distance
L
4
 from its centre will be :
[Online April 22, 2013]
A current i is flowing in a straight conductor of length L. The magnetic induction at a point on its axis at a distance
L
4
 from its centre will be :
[Online April 22, 2013]
Q.165 Correct
Q.165 In-correct
Q.165 Unattempt
Choose the correct sketch of the magnetic field lines of a circular current loop shown by the dot ◉ and the cross⊗
[Online April 22, 2013]
Choose the correct sketch of the magnetic field lines of a circular current loop shown by the dot ◉ and the cross⊗
[Online April 22, 2013]
Q.166 Correct
Q.166 In-correct
Q.166 Unattempt
An electric current is flowing through a circular coil of radius R. The ratio of the magnetic field at the centre of the coil and that at a distance 2√2R from the centre of the coil and on its axis is :
[Online April 9, 2013]
An electric current is flowing through a circular coil of radius R. The ratio of the magnetic field at the centre of the coil and that at a distance 2√2R from the centre of the coil and on its axis is :
[Online April 9, 2013]
Q.167 Correct
Q.167 In-correct
Q.167 Unattempt
A rectangular loop of wire, supporting a mass m, hangs with one end in a uniform magnetic field
→
B
 pointing out of the plane of the paper. A clockwise current is set up such that i>mg∕Ba, where a is the width of the loop. Then :

[Online April 23, 2013]
A rectangular loop of wire, supporting a mass m, hangs with one end in a uniform magnetic field
→
B
 pointing out of the plane of the paper. A clockwise current is set up such that i>mg∕Ba, where a is the width of the loop. Then :

[Online April 23, 2013]
Q.168 Correct
Q.168 In-correct
Q.168 Unattempt
This questions has Statement I and Statement II. Of the four choices given after the Statements, choose the one that best describes into two Statements.
Statement-I : Higher the range, greater is the resistance of ammeter.
Statement-II : To increase the range of ammeter, additional shunt needs to be used across it.
[2013]
This questions has Statement I and Statement II. Of the four choices given after the Statements, choose the one that best describes into two Statements.
Statement-I : Higher the range, greater is the resistance of ammeter.
Statement-II : To increase the range of ammeter, additional shunt needs to be used across it.
[2013]
Q.169 Correct
Q.169 In-correct
Q.169 Unattempt
To find the resistance of a galvanometer by the half deflection method the following circuit is used with resistances R1=9970W,R2=30W and R3=0. The deflection in the galvanometer is d. With R3=107W the deflection changed to
d
2
. The galvanometer resistance is approximately:

[Online April 22, 2013]
To find the resistance of a galvanometer by the half deflection method the following circuit is used with resistances R1=9970W,R2=30W and R3=0. The deflection in the galvanometer is d. With R3=107W the deflection changed to
d
2
. The galvanometer resistance is approximately:

[Online April 22, 2013]
Q.170 Correct
Q.170 In-correct
Q.170 Unattempt
A shunt of resistance 1Ω is connected across a galvanometer of 120Ω resistance. A current of 5.5 ampere gives full scale deflection in the galvanometer. The current that will give full scale deflection in the absence of the shunt is nearly :
[Online April 9, 2013]
A shunt of resistance 1Ω is connected across a galvanometer of 120Ω resistance. A current of 5.5 ampere gives full scale deflection in the galvanometer. The current that will give full scale deflection in the absence of the shunt is nearly :
[Online April 9, 2013]
Q.171 Correct
Q.171 In-correct
Q.171 Unattempt
Proton, deuteron and alpha particle of same kinetic energy are moving in circular trajectories in a constant magnetic field. The radii of proton, deuteron and alpha particle are respectively rp,rd and rα. Which one of the following relation is correct?
[2012]
Proton, deuteron and alpha particle of same kinetic energy are moving in circular trajectories in a constant magnetic field. The radii of proton, deuteron and alpha particle are respectively rp,rd and rα. Which one of the following relation is correct?
[2012]
Q.172 Correct
Q.172 In-correct
Q.172 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 : A charged particle is moving at right angle to a static magnetic field. During the motion the kinetic energy of the charge remains unchanged.
Statement 2: Static magnetic field exert force on a moving charge in the direction perpendicular to the magnetic field.
[Online May 26, 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 : A charged particle is moving at right angle to a static magnetic field. During the motion the kinetic energy of the charge remains unchanged.
Statement 2: Static magnetic field exert force on a moving charge in the direction perpendicular to the magnetic field.
[Online May 26, 2012]
Q.173 Correct
Q.173 In-correct
Q.173 Unattempt
A proton and a deuteron are both accelerated through the same potential difference and enter in a magnetic field perpendicular to the direction of the field. If the deuteron follows a path of radius R, assuming the neutron and proton masses are nearly equal, the radius of the proton's path will be
[Online May 19, 2012]
A proton and a deuteron are both accelerated through the same potential difference and enter in a magnetic field perpendicular to the direction of the field. If the deuteron follows a path of radius R, assuming the neutron and proton masses are nearly equal, the radius of the proton's path will be
[Online May 19, 2012]
Q.174 Correct
Q.174 In-correct
Q.174 Unattempt
The magnetic force acting on charged particle of charge 2 µC in magnetic field of 2T acting in y-direction, when the particle velocity is (2
^
i
+3
^
j
)×106ms−1 is
[Online May 12, 2012]
The magnetic force acting on charged particle of charge 2 µC in magnetic field of 2T acting in y-direction, when the particle velocity is (2
^
i
+3
^
j
)×106ms−1 is
[Online May 12, 2012]
Q.175 Correct
Q.175 In-correct
Q.175 Unattempt
The velocity of certain ions that pass undeflected through crossed electric field E=7.7kV∕m and magnetic field B=0.14T is
[Online May 7, 2012]
The velocity of certain ions that pass undeflected through crossed electric field E=7.7kV∕m and magnetic field B=0.14T is
[Online May 7, 2012]
Q.176 Correct
Q.176 In-correct
Q.176 Unattempt
A charge Q is uniformly distributed over the surface of non-conducting disc of radius R. The disc rotates about an axis perpendicular to its plane and passing through its centre with an angular velocity ω. As a result of this rotation a magnetic field of induction B is obtained at the centre of the disc. If we keep both the amount of charge placed on the disc and its angular velocity to be constant and vary the radius of the disc then the variation of the magnetic induction at the centre of the disc will be represented by the figure :
[2012]
A charge Q is uniformly distributed over the surface of non-conducting disc of radius R. The disc rotates about an axis perpendicular to its plane and passing through its centre with an angular velocity ω. As a result of this rotation a magnetic field of induction B is obtained at the centre of the disc. If we keep both the amount of charge placed on the disc and its angular velocity to be constant and vary the radius of the disc then the variation of the magnetic induction at the centre of the disc will be represented by the figure :
[2012]
Q.177 Correct
Q.177 In-correct
Q.177 Unattempt
Currents of a 10 ampere and 2 ampere are passed through two parallel thin wires A and B respectively in opposite directions. Wire A is infinitely long and the length of the wire B is 2m. The force acting on the conductor B, which is situated at 10cm distance from A will be
[Online May 26, 2012]
Currents of a 10 ampere and 2 ampere are passed through two parallel thin wires A and B respectively in opposite directions. Wire A is infinitely long and the length of the wire B is 2m. The force acting on the conductor B, which is situated at 10cm distance from A will be
[Online May 26, 2012]
Q.178 Correct
Q.178 In-correct
Q.178 Unattempt
The circuit in figure consists of wires at the top and bottom and identical springs as the left and right sides. The wire at the bottom has a mass of 10g and is 5cm long. The wire is hanging as shown in the figure. The springs stretch 0.5 cm under the weight of the wire and the circuit has a total resistance of 12Ω. When the lower wire is subjected to a static magnetic field, the springs, stretch an additional 0.3cm. The magnetic field is

[Online May 12,2012]
The circuit in figure consists of wires at the top and bottom and identical springs as the left and right sides. The wire at the bottom has a mass of 10g and is 5cm long. The wire is hanging as shown in the figure. The springs stretch 0.5 cm under the weight of the wire and the circuit has a total resistance of 12Ω. When the lower wire is subjected to a static magnetic field, the springs, stretch an additional 0.3cm. The magnetic field is

[Online May 12,2012]
Q.179 Correct
Q.179 In-correct
Q.179 Unattempt
An electric charge +q moves with velocity
→
v
=3
^
i
+4
^
j
+
^
k
 in an electromagnetic field given by
→
E
=3
^
i
+
^
j
+2
^
k
 and
→
B
=i+
^
j
−3
^
k
 The y -component of the force experienced by+q is :
[2011 RS]
An electric charge +q moves with velocity
→
v
=3
^
i
+4
^
j
+
^
k
 in an electromagnetic field given by
→
E
=3
^
i
+
^
j
+2
^
k
 and
→
B
=i+
^
j
−3
^
k
 The y -component of the force experienced by+q is :
[2011 RS]
Q.180 Correct
Q.180 In-correct
Q.180 Unattempt
A current I flows in an infinitely long wire with cross section in the form of a semi-circular ring of radius R. The magnitude of the magnetic induction along its axis is:
[2011]
A current I flows in an infinitely long wire with cross section in the form of a semi-circular ring of radius R. The magnitude of the magnetic induction along its axis is:
[2011]
Q.181 Correct
Q.181 In-correct
Q.181 Unattempt
Two long parallel wires are at a distance 2d apart. They carry steady equal currents flowing out of the plane of the paper as shown. The variation of the magnetic field B along the line XX′ is given by
[2010]
Two long parallel wires are at a distance 2d apart. They carry steady equal currents flowing out of the plane of the paper as shown. The variation of the magnetic field B along the line XX′ is given by
[2010]
Q.182 Correct
Q.182 In-correct
Q.182 Unattempt
The magnitude of the magnetic field (B) due to the loop ABCD at the origin (O) is :
[2009]
The magnitude of the magnetic field (B) due to the loop ABCD at the origin (O) is :
[2009]
Q.183 Correct
Q.183 In-correct
Q.183 Unattempt
Due to the presence of the current I1 at the origin:
[2009]
Due to the presence of the current I1 at the origin:
[2009]
Q.184 Correct
Q.184 In-correct
Q.184 Unattempt
A horizontal overhead powerline is at height of 4m from the ground and carries a current of 100A from east to west. The magnetic field directly below it on the ground is (µ0=4π×10−7‌Tm‌A−1)
[2008]
A horizontal overhead powerline is at height of 4m from the ground and carries a current of 100A from east to west. The magnetic field directly below it on the ground is (µ0=4π×10−7‌Tm‌A−1)
[2008]
Q.185 Correct
Q.185 In-correct
Q.185 Unattempt
A charged particle with charge q enters a region of constant, uniform and mutually orthogonal fields
→
E
 and
→
B
 with a velocity
→
v
 perpendicular to both
→
E
 and
→
B
 and comes out without any change in magnitude or direction of
→
v
. Then
[2007]
A charged particle with charge q enters a region of constant, uniform and mutually orthogonal fields
→
E
 and
→
B
 with a velocity
→
v
 perpendicular to both
→
E
 and
→
B
 and comes out without any change in magnitude or direction of
→
v
. Then
[2007]
Q.186 Correct
Q.186 In-correct
Q.186 Unattempt
A charged particle moves through a magnetic field perpendicular to its direction. Then
[2007]
A charged particle moves through a magnetic field perpendicular to its direction. Then
[2007]
Q.187 Correct
Q.187 In-correct
Q.187 Unattempt
A long straight wire of radius a carries a steady current i.
The current is uniformly distributed across its cross section. The ratio of the magnetic field at a/2 and 2a is
[2007]
A long straight wire of radius a carries a steady current i.
The current is uniformly distributed across its cross section. The ratio of the magnetic field at a/2 and 2a is
[2007]
Q.188 Correct
Q.188 In-correct
Q.188 Unattempt
A current I flows along the length of an infinitely long, straight, thin walled pipe. Then
[2007]
A current I flows along the length of an infinitely long, straight, thin walled pipe. Then
[2007]
Q.189 Correct
Q.189 In-correct
Q.189 Unattempt
Two identical conducting wires AOB and COD are placed at right angles to each other. The wire AOB carries an electric current I1 and COD carries a current I2. The magnetic field on a point lying at a distance d from O, in a direction perpendicular to the plane of the wires AOB and COD, will be given by
[2007]
Two identical conducting wires AOB and COD are placed at right angles to each other. The wire AOB carries an electric current I1 and COD carries a current I2. The magnetic field on a point lying at a distance d from O, in a direction perpendicular to the plane of the wires AOB and COD, will be given by
[2007]
Q.190 Correct
Q.190 In-correct
Q.190 Unattempt
In a region, steady and uniform electric and magnetic fields are present. These two fields are parallel to each other. A charged particle is released from rest in this region. The path of the particle will be a
[2006]
In a region, steady and uniform electric and magnetic fields are present. These two fields are parallel to each other. A charged particle is released from rest in this region. The path of the particle will be a
[2006]
Q.191 Correct
Q.191 In-correct
Q.191 Unattempt
A long solenoid has 200 turns per cm and carries a current i. The magnetic field at its centre is 6.28×10−2 Weber /m2. Another long solenoid has 100 turns per cm and it carries a current
i
3
. The value of the magnetic field at its centre is
[2006]
A long solenoid has 200 turns per cm and carries a current i. The magnetic field at its centre is 6.28×10−2 Weber /m2. Another long solenoid has 100 turns per cm and it carries a current
i
3
. The value of the magnetic field at its centre is
[2006]
Q.192 Correct
Q.192 In-correct
Q.192 Unattempt
A charged particle of mass m and charge q travels on a circular path of radius r that is perpendicular to a magnetic field B. The time taken by the particle to complete one revolution is
[2005]
A charged particle of mass m and charge q travels on a circular path of radius r that is perpendicular to a magnetic field B. The time taken by the particle to complete one revolution is
[2005]
Q.193 Correct
Q.193 In-correct
Q.193 Unattempt
A uniform electric field and a uniform magnetic field are acting along the same direction in a certain region. If an electron is projected along the direction of the fields with a certain velocity then
[2005]
A uniform electric field and a uniform magnetic field are acting along the same direction in a certain region. If an electron is projected along the direction of the fields with a certain velocity then
[2005]
Q.194 Correct
Q.194 In-correct
Q.194 Unattempt
Two concentric coils each of radius equal to 2πcm are placed at right angles to each other. 3 ampere and 4 ampere are the currents flowing in each coil respectively. The magnetic induction in Weber /m2 at the centre of the coils will be (µ0=4π×10−7Wb∕A.m)
[2005]
Two concentric coils each of radius equal to 2πcm are placed at right angles to each other. 3 ampere and 4 ampere are the currents flowing in each coil respectively. The magnetic induction in Weber /m2 at the centre of the coils will be (µ0=4π×10−7Wb∕A.m)
[2005]
Q.195 Correct
Q.195 In-correct
Q.195 Unattempt
In the circuit, the galvanometer G shows zero deflection. If the batteries A and B have negligible internal resistance, the value of the resistor R will be -

[2005]
In the circuit, the galvanometer G shows zero deflection. If the batteries A and B have negligible internal resistance, the value of the resistor R will be -

[2005]
Q.196 Correct
Q.196 In-correct
Q.196 Unattempt
A moving coil galvanometer has 150 equal divisions. Its current sensitivity is 10 -divisions per milliampere and voltage sensitivity is 2 divisions per millivolt. In order that each division reads 1 volt, the resistance in ohms needed to be connected in series with the coil will be -
[2005]
A moving coil galvanometer has 150 equal divisions. Its current sensitivity is 10 -divisions per milliampere and voltage sensitivity is 2 divisions per millivolt. In order that each division reads 1 volt, the resistance in ohms needed to be connected in series with the coil will be -
[2005]
Q.197 Correct
Q.197 In-correct
Q.197 Unattempt
A current i ampere flows along an infinitely long straight thin walled tube, then the magnetic induction at any point inside the tube is
[2004]
A current i ampere flows along an infinitely long straight thin walled tube, then the magnetic induction at any point inside the tube is
[2004]
Q.198 Correct
Q.198 In-correct
Q.198 Unattempt
A long wire carries a steady current. It is bent into a circle of one turn and the magnetic field at the centre of the coil is B. It is then bent into a circular loop of n turns. The magnetic field at the centre of the coil will be
[2004]
A long wire carries a steady current. It is bent into a circle of one turn and the magnetic field at the centre of the coil is B. It is then bent into a circular loop of n turns. The magnetic field at the centre of the coil will be
[2004]
Q.199 Correct
Q.199 In-correct
Q.199 Unattempt
The magnetic field due to a current carrying circular loop of radius 3 cm at a point on the axis at a distance of 4 cm from the centre is 54 µT. What will be its value at the centre of loop?
[2004]
The magnetic field due to a current carrying circular loop of radius 3 cm at a point on the axis at a distance of 4 cm from the centre is 54 µT. What will be its value at the centre of loop?
[2004]
Q.200 Correct
Q.200 In-correct
Q.200 Unattempt
Two long conductors, separated by a distance d carry current I1 and I2 in the same direction. They exert a force F on each other. Now the current in one of them is increased to two times and its direction is reversed. The distance is also increased to 3d. The new value of the force between them is
[2004]
Two long conductors, separated by a distance d carry current I1 and I2 in the same direction. They exert a force F on each other. Now the current in one of them is increased to two times and its direction is reversed. The distance is also increased to 3d. The new value of the force between them is
[2004]
Q.201 Correct
Q.201 In-correct
Q.201 Unattempt
A particle of mass M and charge Q moving with velocity
→
v
 describe a circular path of radius R when subjected to a uniform transverse magnetic field of induction B. The work done by the field when the particle completes one full circle is
[2003]
A particle of mass M and charge Q moving with velocity
→
v
 describe a circular path of radius R when subjected to a uniform transverse magnetic field of induction B. The work done by the field when the particle completes one full circle is
[2003]
Q.202 Correct
Q.202 In-correct
Q.202 Unattempt
If an electron and a proton having same momenta enter perpendicular to a magnetic field, then
[2002]
If an electron and a proton having same momenta enter perpendicular to a magnetic field, then
[2002]
Q.203 Correct
Q.203 In-correct
Q.203 Unattempt
The time period of a charged particle undergoing a circular motion in a uniform magnetic field is independent of its
[2002]
The time period of a charged particle undergoing a circular motion in a uniform magnetic field is independent of its
[2002]
Q.204 Correct
Q.204 In-correct
Q.204 Unattempt
If in a circular coil A of radius R, current I is flowing and in another coil B of radius 2R a current 2I is flowing, then the ratio of the magnetic fields BA and BB, produced by them will be
[2002]
If in a circular coil A of radius R, current I is flowing and in another coil B of radius 2R a current 2I is flowing, then the ratio of the magnetic fields BA and BB, produced by them will be
[2002]
Q.205 Correct
Q.205 In-correct
Q.205 Unattempt
If a current is passed through a spring then the spring will
[2002]
If a current is passed through a spring then the spring will
[2002]
Q.206 Correct
Q.206 In-correct
Q.206 Unattempt
Wires 1 and 2 carrying currents i1 and i2 respectively are inclined at an angle theta to each other. What is the force on a small element dl of wire 2 at a distance of r from wire 1 (as shown in figure) due to the magnetic field of wire 1?

[2002]
Wires 1 and 2 carrying currents i1 and i2 respectively are inclined at an angle theta to each other. What is the force on a small element dl of wire 2 at a distance of r from wire 1 (as shown in figure) due to the magnetic field of wire 1?

[2002]
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