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Magnetic Effects of Current — NEET UG Physics PYQs

445 previous year questions from Magnetic Effects of Current with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

445 questionsPhysicsSolutions on every page
1

The magnitude of the magnetic induction (B) at a point on the axis at a large distance 'r' from the centre of a circular coil of 'n' turns and area 'A' carrying current ' i ' is gi

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2

For a circular coil of radius a , at what distance x along its axis the magnetic field is exactly 1 27 of its value at the center?

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3

A circular coil having 'n' turns, each of radius 'r' carries a current 'I'. The magnetic field at a distance x = 8 r from its centre along axis of the coil is ( ₀ = permeability of

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4

The ratio of cyclotron frequency f to the radius of the path of a charged particle R is q^2 B^2 2 m^2 x . Then the value of x is ( v is velocity of charged particle)

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5

In a cyclotron, for the same values of B and R, what is the ratio of the maximum kinetic energies of particles and deuteron? Mass of deuteron =2m_p , charge on deuteron =+e

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6

The magnitude of the magnetic field at point O (centre of the arc) with radius R, in the following case is ( ₀ = permeability of free space, I = current and R is the radius of circ

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7

Two wires of same material A and B, having lengths l and 2l 3 carry the currents I and 3I 4 respectively. Both the wires (A and B) are bent into a circles (of single turn). If B_A

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8

An electron is projected with uniform velocity along the axis of a current carrying long solenoid. Which of the following is true? a. The electron will be accelerated along the axi

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9

Two concentric coils, each of radius equal to 2 cm are placed at right angle to each other. If 3 A and 4 A are the currents flowing through the two coils, respectively. The magneti

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10

A closely wound solenoid of 1000 turns and area of cross-section 2 10⁻⁴ m ^2 carries a current of 2 A. It is suspended through its centre and perpendicular to its length, allowing

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11

A long straight wire along the z -axis carries a current ' I ' in the negative z-direction. The magnetic induction ' B ' at a point having co-ordinates (x, y) on the z = 0 plane is

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12

A long wire carrying a steady current is bent into a circle of single turn. The magnetic field at the centre of the coil is B. If it is bent into a circular loop of radius 'r' havi

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13

A current carrying circular coil of radius 'R' produces magnetic field 'B'₁ at an axial point P at a distance 'x' from its centre and B₂ at point Q placed at its centre ,respective

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14

A straight wire carrying a current (I) is turned into a circular loop. If the magnitude of magnetic moment associated with it is 'M', then the length of the wire will be

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15

Two identical long parallel wires carry current ' I₁ ' and ' I₂ ' such that I₁ > I₂ . When the currents are in the same direction, the magnetic field at a point midway between the

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16

A circular coil having ' n ' turns, each of radius ' r ' carries a current ' I '. The magnetic field at a distance x = 3 ,r from its center, along the axis of the coil, is [ ₀ = pe

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17

The magnetic field inside the solenoid is

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18

In a cyclotron, a charged particle

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19

The magnetic flux near the axis and inside the air core solenoid of length 60 cm carrying current 'I' is 1.57 10⁻⁶ Wb . Its magnetic moment will be cross-sectional area of a soleno

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20

If a single-turn circular coil ( of radius R₁ ) carrying a current I is rewound into a coil of N turns ( of radius R₂ ) using the same total length of wire and carrying the same cu

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21

A proton moves at a constant speed v along the x-axis through a crossed electric and magnetic field. The magnetic field is B = B₀ k T. The electric field E in V/m is

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22

A circular loop carrying a current' I' is made of a wire of length 'L'. A uniform magnetic field 'B' exists parallel to the plane of the loop. The torque experienced by the circula

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23

If the current 'i' is passing through the wire, it has a shape as shown in the figure. The radius of the curved part is R and the linear part is assumed to be very long. The magnet

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24

The figure given below shows a long straight solid wire of circular cross-section of radius ' a ' carrying steady current I . The current I is uniformly distributed across its cros

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25

A current I₀ flows through a metallic circular loop of radius r as shown in the figure. Resistance of the segment ABC is half that of ADC. Magnitude of magnetic field at the center

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26

A 100 -turn closely wound circular coil of radius 5 cm has a magnetic field of 3.14 10⁻³ T at its centre. The current flowing through the coil, and the magnitude of the magnetic mo

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27

Two infinitely long parallel conducting wires A and B carry currents I and 2 I, respectively, in the same direction. The wire A has uniform mass per unit length and lies on an insu

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28

An electron (mass 9 10⁻³¹ ~kg and charge 1.6 10⁻¹⁹ C ) moving with speed c / 100( c = speed of light) is injected into a magnetic field B of magnitude 9 10⁻⁴ ~T perpendicular to it

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29

A 2 amp current is flowing through two different small circular copper coils having radii ratio 1: 2 . The ratio of their respective magnetic moments will be

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30

A model for quantized motion of an electron in a uniform magnetic field B states that the flux passing through the orbit of the electron is n(h / e) where n is an integer, h is Pla

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31

In a uniform magnetic field of 0.049 T , a magnetic needle performs 20 complete oscillations in 5 seconds as shown. The moment of inertia of the needle is 9.8 10⁻⁶ ~kg ~m ^2 . If t

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32

An iron bar of length L has magnetic moment M . It is bent at the middle of its length such that the two arms make an angle 60^ with each other. The magnetic moment of this new mag

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33

A tightly wound 100 turns coil of radius 10 cm carries a current of 7 A . The magnitude of the magnetic field at the centre of the coil is (Take permeability of free space as 4 10⁻

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34

The magnetic potential energy, when a magnetic bar of magnetic moment m is placed perpendicular to the magnetic field B is

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35

A long straight wire of length 2 ~m and mass 250 ~g is suspended horizontally in a uniform horizontal magnetic field of 0.7 ~T . The amount of current flowing through the wire will

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36

A very long conducting wire is bent in a semi- circular shape from A to B as shown in figure. The magnetic field at point   P for steady current configuration is given by:

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37

A wire carrying a current I along the positive x-axis has length L . It is kept in a magnetic field B → = 2 i ^ + 3 j ^ - 4 k ^     T . The magnitude of the magneti

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38

A uniform electric field and a uniform magnetic field are acting along the same direction in a certain region. If an electron is projected in the region such that its velocity is p

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39

A closely packed coil having 1000 turns has an average radius of 62.8 ~cm . If current carried by the wire of the coil is 1 ~A , the value of magnetic field produced at the centre

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40

The shape of the magnetic field lines due to an infinite long, straight current carrying conductor is:

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41

The magnetic field on the axis of a circular loop of radius 100 ~cm carrying current I= 2 ~A , at point 1 ~m away from the centre of the loop is given by:

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42

Given below are two statements: Statement I : Biot-Savart's law gives us the expression for the magnetic field strength of an infinitesimal current element I d l of a current c

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43

A long solenoid of radius 1   mm has 100   turns per mm . If 1   A current flows in the solenoid, the magnetic field strength at the centre of the solenoid is:

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44

From Ampere's circuital law for a long straight wire of circular cross-section carrying a steady current, the variation of magnetic field in the inside and outside region of th

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45

Two very long, straight, parallel conductors A and B carry current of 5 ~A and 10 ~A respectively and are at a distance of 10 ~cm from each other. The direction of current in two c

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46

An infinitely long straight conductor carries a current of 5 A as shown. An electron is moving with a speed of 10 5   m   s - 1 parallel to the conductor. The perpendicul

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47

A thick current carrying cable of radius R carries current I uniformly distributed across its cross-section. The variation of magnetic field B ( r ) due to the cable with the dista

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48

A uniform conducting wire of length 12 a and resistance R is wound up as a current-carrying coil in the shape of, (i) an equilateral triangle of side a . (ii) a square of side a .

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49

In the product F → = q ( v → × B → ) = q v → × B i ^ + B j ^ + B 0 k ^ For q = 1 and v → = 2 i ^ + 4 j ^ + 6 k ^ and F → = 4 i ^ - 20

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50

A long solenoid of 50   cm length having 100 turns carries a current of 2.5   A . The magnetic field at the centre of the solenoid is: μ 0 = 4 π × 10 &#872

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51

A wire of length L metre carrying a current of I ampere is bent in the form of a circle. Its magnetic moment is,

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52

Two parallel infinitely long current carrying wires are shown in figure. If resultant magnetic field at point P is zero. Then determine current I .

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53

A proton is projected with velocity v =2 i in a region where magnetic field B =( i +3 j +4 k ) T and electric field E =10 i Vm ⁻¹ . Then find out the net acceleration of proton

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54

Find force per unit length at P .

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55

Force on a current carrying closed loop (Radius =R ) in a uniform magnetic field (B) which is at an angle 30^ with the normal will be

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56

The magnetic field (B) inside a long solenoid having n turns per unit length and carrying current I when iron core is kept in it is ( ₀= permeability of vacuum, = magnetic suscepti

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57

A particle of mass m and charge q moves with a constant velocity v along the positive x -direction. It enters a region containing a uniform magnetic field B directed along the nega

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58

A proton of velocity (3 i +2 j ) m s ⁻¹ enters a field of magnetic induction (2 j +3 k ) tesla. The acceleration produced in the proton in m s ⁻² is (Specific charge of proton =0.9

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59

A semicircular arc of radius r and a straight wire along the diameter, both are carrying same current i . Find out magnetic force per unit length on the small element P , which is

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60

Assertion : A charge particle is released from rest in a magnetic field then it will move in circular path. Reason : Work done by a magnetic field on the charged particle is non ze

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61

Find the maximum radius of circle so that the block can complete the circular motion.

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62

Two toroids 1 and 2 have total number of turns 200 and 100 respectively with average radii 40 ~cm and 20 ~cm respectively. If they carry same current i , the ratio of the magnetic

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63

A straight conductor carrying current i splits into two parts as shown in the figure. The radius of the circular loop is R . The total magnetic field at the centre P at the loop is

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64

A cylindrical conductor of radius R is carrying a constant current. The plot of the magnitude of the magnetic field B with the distance d from the centre of the conductor is correc

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65

Ionized hydrogen atoms and α -particles with same momenta enters perpendicular to a constant magnetic field B . The ratio of their radii of their paths r H : r α will be

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66

Assertion : When radius of a circular loop carrying current is doubled, its magnetic moment becomes four times. Reason : Magnetic moment depends on area of the loop.

AIIMS 2018 Solution
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67

Two magnets are suspended by a given wire one by one. In order to deflect the first magnet through 45^ , the wire has to be twisted through 540^ whereas with the second magnet, the

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68

Assertion : Magnetic field can not change kinetic energy of a moving charge. Reason : Magnetic field can not change velocity vector.

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69

A long cylindrical wire carrying current of 10 A. has radius of 5 ~mm , then find its magnetic field induction at a point 2 ~mm from the centre of the wire. Current is uniformly di

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70

In the cyclotron, as radius of the circular path of the charged particle increases ( = angular velocity, v= linear velocity)

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71

A electron ( e ⁻ ) is accelerated by V volts experiences a force F , when it enters in a uniform magnetic field. What will the force experienced when it is accelerated by 2 V ?

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72

A regular hexagone of side a. A wire of length 24 a is coiled on that hexagone. If current in hexagone is I, then find the magnetic moment.

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73

Electron revolving with speed v is producing magnetic field B at centre. Find relation between radius of path B and v ?

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74

The magnetic moment of an electron orbiting in a circulate orbit of radius r with a speed v is equal to

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75

A metallic rod of mass per unit length 0.5   kg   m - 1 is lying horizontally on a smooth inclined plane which makes an angle 30 o with the horizontal. The rod is not all

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76

A current I is flowing through the loop. The direction of the current and the shape of the loop are as shown in the figure. The magnetic field at the centre of the loop is ₀ I R ti

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77

A square loop A B C D , carrying a current I₂ , is placed near and coplanar with a long straight conductor X Y carrying a current I₁ , as shown in figure. The net force on the loop

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78

A uniform electric field and a uniform magnetic field acting along the same direction in a certain region. If an electron is projected along the direction of the fields with a cert

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79

In the given figure, what is the magnetic field induction at point O .

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80

A long straight wire is carrying current I in +z direction. The x-y plane contains a closed circular loop carrying current I₂ and not encircling the straight wire. The force on the

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81

An arrangement of three parallel straight wires placed perpendicular to plane of paper carrying same current I along the same direction is shown in Figure. Magnitude of force per u

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82

A 250 -Turn rectangular coil of length 2.1 cm and width 1.25 cm carries a current of 85  μA and subjected to a magnetic field of strength 0.85 T. Work done for rotating t

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83

The magnetic field at the centre O of the arc shown in the figure is

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84

A current carrying loop is placed in a uniform magnetic field in four different orientations I, II, III and IV as shown in figure. Arrange them in decreasing order of potential ene

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85

An ideal solenoid having 5000 turns / m has an aluminium core and carries a current of 5 A . If _ Al =2.3 10⁻⁵ , then the magnetic field developed at centre will be

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86

A circular current carrying coil has a radius R . The distance from the centre of the coil, on the axis, where B will be 1 8 of its value at the centre of the coil is

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87

A long wire carrying a steady current is bent into a circular loop of one turn. The magnetic field at the centre of the loop is B . It is then bent into a circular coil of n turns.

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88

A bar magnet is hung by a thin cotton thread in a uniform horizontal magnetic field and is in equilibrium state. The energy required to rotate it by 60 o is W . Now, the torque req

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89

An electron is moving in a circular path under the influence of a transverse magnetic field of 3.57 × 10 - 2   T . If, the value of e m is 1 .76 × 10 11   C &#1

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90

A square loop ABCD carrying a current i , is placed near and coplanar with a long straight conductor XY carrying a current I , the net force on the loop will be:

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91

A long straight wire of radius a carries a steady current I . the current is uniformly distributed over its cross-section. The ratio of the magnetic fields B and B' , at radial

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92

The force per unit length between two straight conductors separated by a distance of 0.02 ~m is 2 10⁻³ ~N ~m ⁻¹ . The current in one conductor is 10 ~A and that in the other conduc

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93

What is the magnetic field on the axis of a coil of radius r carrying current I at a distance R from the origin?

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94

Assertion : When a magnetic dipole is placed in a non uniform magnetic field, only a torque acts on the dipole. Reason : Force would act on dipole if magnetic field is uniform.

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95

Two long straight wires, each carrying an electric current of 5 A, are kept parallel to each other at a separation of 2.5 cm. Find the magnitude of the magnetic force experiment by

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96

A square loop is made by a uniform conductor wire as shown in figure The net magnetic field at the centre of the loop if side length of the square is a

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97

The parts of two concentric circular arcs joined by two radial lines and carries current i . The arcs subtend an angle at the centre of the circle. The magnetic field at the centre

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98

A rectangular coil of length 0.12  m and width 0.1  m having 50 turns of wire is suspended vertically in a uniform magnetic field of strength 0.2 W e b e r / m 2 . The co

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99

A wire carrying current I has the shape as shown in adjoining figure. Linear parts of the wire are very long and parallel to X -axis while semicircular portion of radius R is lying

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100

An electron moving in a circular orbit of radius r makes n rotations per second. The magnetic field produced at the center has magnitude:

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101

A proton and an alpha particle both enter a region of uniform magnetic field B, moving at right angles to the field B. if the radius of circular orbits for both the particles is eq

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102

A long straight wire carries 10 A d.c. current an electron travels perpendicular to the plane of this wire at a distance 0.1 ~m with velocity 5.0 10^6 ~m ~s ⁻¹ . Force acting on th

AIIMS 2014 Solution
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103

Two parallel long wires A and B carry currents i₁ and i₂ ( < i₁ ) . When i₁ and i₂ are in the same direction, the magnetic field at a point mid way between the wires is 10 T . If i

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104

A particle of charge q and mass m starts moving from the origin under the action of an electric field E =E₀ i and B =B₀ i with a velocity v =v₀ j . The speed of the particle will b

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105

Magnetic field at point O will be

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106

A particle of mass M and charge Q moving with velocity v describes a circular path of radius R when subjected to a uniform transverse magnetic field of induction B . The work done

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107

Following figures show the arrangement of bar magnets in different configurations. Each magnet has magnetic dipole m &#8594; . Which configuration has highest net magnetic dipole m

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108

Two identical long conducting wires A O B and C O D are placed at right angle to each other, with one above other such that &lsquo; O &rsquo; is their common point for the two. The

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109

Relation between magnetic moment and angular velocity is

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110

Assertion : Magnetic lines forms closed loops in nature. Reason : Mono-magnetic pole does not exist in nature.

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111

Assertion : Magnetic field is useful in producing parallel beam of charged particle. Reason : Magnetic field inhibits the motion of charged particle moving across it.

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112

A long straight wire carries a certain current and produces a magnetic field 2 10⁻⁴ Weber m ^2 at a perpendicular distance of 5 ~cm from the wire. An electron situated at 5 ~cm fro

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113

A bar magnet of magnetic moment M placed at right angles to a magnetic induction B . If a force F is experienced by each pole of the magnet. The length of the magnet will be:

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114

A circular A B C D carrying a current ' i ' is placed in a uniform magnetic field, if the magnetic force on the segment A B is F , the force on the remaining segment BCDA is:

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115

When a proton is released from rest in a room, it starts with an initial acceleration a₀ towards west. When it is projected towards north with a speed v₀ it moves with an initial a

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116

A current loop in a magnetic field

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117

A wire of mass 100 ~g , length 1 ~m and current 5 ~A is balanced in mid air by a magnetic field B , then find the value of B .

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118

A toroid with mean radius r₀ , diameter 2 a have N turns carrying current I . What is the magnetic field B inside the toroid?

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119

Two wires carrying

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120

The minimum magnetic dipole moment of electron in hydrogen atom is

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