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Magnetic Field — JEE Main & Advanced Physics PYQs

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

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1

An electron is projected horizontally with a kinetic energy of 10 keV . A magnetic field of magnitude 1.0 10⁻⁷ T is present in the vertically upward direction. Calculate the latera

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2

In a region where a 1.0 T magnetic field points from south to north, an alpha particle is projected vertically upward at a speed of 3.0 10^4 km s ⁻¹ . Determine the magnetic force

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3

A particle carrying a charge of 1.0 10⁻⁹ C travels in the x – y plane. A magnetic field of 4.0 10⁻³ k T exerts a force of (4.0 i + 3.0 j ) 10⁻¹⁰ N on it. Determine the velocity of

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4

An experimenter's logbook contains the following entry: "a charged particle is projected in a magnetic field of (7.0 i - 3.0 j ) 10⁻³ T . The acceleration of the particle is determ

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5

A 10 g bullet carrying a charge of 4.00 C is fired horizontally at a speed of 270 m s ⁻¹ . A vertical magnetic field of 500 T is present in the region. Determine the deflection of

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6

A proton released from rest in a room experiences an initial acceleration a₀ directed towards the west. If, instead, it is projected towards the north at a speed v₀ , its initial a

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7

A 10 -cm long portion of a straight wire carrying a 10 A current is situated in a 0.1 T magnetic field that is oriented at an angle of 53^ relative to the wire. What magnetic force

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8

An electron is projected horizontally with a kinetic energy of 10 keV . A magnetic field of magnitude 1.0 10⁻⁷ T is present in the vertically upward direction. Will the electron de

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9

A 2 A current enters at the corner d of a square frame abcd having a side length of 20 cm and exits at the opposite corner b . A magnetic field B = 0.1 T is present in the region,

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10

As shown in the figure, a strong electromagnet produces a magnetic field of strength 1.0 T inside a cylindrical region of radius 4.0 cm . A wire carrying a current of 2.0 A is posi

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11

A wire having length l carries a current i directed along the x -axis. A magnetic field is present and is described by B = B₀ ( i + j + k ) T . Determine the magnitude of the magne

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12

In the circuit depicted in the figure, a current of 5.0 A is present. The wire PQ measures 50 cm in length and is immersed in a magnetic field with a magnitude of 0.20 T . Determin

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13

A circular loop of radius a , carrying a current i , is situated in a two-dimensional magnetic field. The centre of the loop coincides with the centre of the field. The strength of

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14

In a certain region, a hypothetical magnetic field is described by B = B₀ e_r , where e_r represents the unit vector in the radial direction. A circular loop of radius a carrying a

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15

A rectangular wire-loop of width a is suspended from the insulated pan of a spring balance, as shown in the figure. A current i flows in the anticlockwise direction through the loo

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16

A current loop of arbitrary shape is situated in a uniform magnetic field B . Determine the net magnetic force exerted on the loop.

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17

A current-carrying wire joining two fixed points a and b is placed in a uniform magnetic field. The force acting on the wire is:

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18

A current of 5.0 A flows in a semicircular wire having a radius of 5.0 cm . A magnetic field B with a magnitude of 0.50 T is present perpendicular to the plane of the wire. Determi

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19

A wire carrying a current i is positioned in the x – y plane along the curve y = A ( 2 x ) . A magnetic field B is present in the z -direction. Determine the magnitude of the magne

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20

A rigid wire consists of a semicircular portion of radius R and two straight sections. The wire is partially immersed in a perpendicular magnetic field B as shown in the figure. De

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21

A straight horizontal wire carrying a current of 2.0 ext A has a mass of 10 ext mg and a length of 1.0 ext m . Determine the minimum magnetic field B that must be applied in the re

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22

As shown in the figure, a rod PQ of length 20.0 cm and mass 200 g is suspended horizontally from a fixed point O by two threads attached to its ends, each measuring 20.0 cm in leng

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23

A rod PQ of length 20.0 cm and mass 200 g is suspended horizontally from a fixed point O using two threads attached to its ends, each 20.0 cm long. A uniform magnetic field of stre

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24

Two metal strips, each of length l , are clamped parallel to one another on a horizontal floor with a separation b between them. A wire of mass m lies perpendicularly across them,

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25

A metal wire PQ having a mass of 10 g rests on two horizontal metal rails separated by 4.90 cm . A vertically downward magnetic field with a magnitude of 0.800 T is present in the

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26

A straight wire of mass m and length l is able to slide on two parallel plastic rails positioned in a horizontal plane with a separation d . The coefficient of friction between the

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27

A circular wire-loop of radius a , carrying a current i , is placed in a perpendicular magnetic field B . Determine the force of compression in the wire.

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28

A circular wire-loop of radius a , carrying a current i , is placed in a perpendicular magnetic field B . Determine the force of compression in the wire.

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29

A circular wire-loop of radius a and carrying a current i is placed in a perpendicular magnetic field B , as shown in the figure. Assume the radius of the wire's cross section is r

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30

In a certain region, the magnetic field is specified by B = B₀ (1 + x l ) k . A square loop carrying a current i and having an edge length l is situated with its edges parallel to

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31

A conducting wire of length l , positioned perpendicular to a magnetic field B , travels with a velocity v . Determine the potential difference that is established across the ends

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32

A conducting wire of length l , situated perpendicular to a magnetic field B , travels with a velocity v . As a result of the magnetic force, electrons accumulate at one end, which

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33

A conducting wire of length l , positioned perpendicular to a magnetic field B , travels with a velocity v . Determine the potential difference that is established across the ends

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34

A current i is passed through a silver strip of width d and area of cross section A . The number of free electrons per unit volume is n . A magnetic field B exists perpendicular to

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35

A current i is passed through a silver strip of width d and area of cross section A . The number of free electrons per unit volume is n . A magnetic field B exists perpendicular to

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36

A current i is passed through a silver strip of width d and area of cross section A . The number of free electrons per unit volume is n . A magnetic field B exists perpendicular to

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37

A current i is passed through a silver strip of width d and area of cross section A . The number of free electrons per unit volume is n . A magnetic field B exists perpendicular to

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38

A particle with a mass of 2.0 10⁻¹⁰ g and a charge of 2.0 10⁻⁸ C is projected at a speed of 2.0 10^3 m s ⁻¹ into a region containing a uniform magnetic field of 0.10 T . The partic

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39

In a magnetic field of strength 0.10 T , a proton moves in a circle of radius 1 cm . Determine the radius of the circle traced by an -particle travelling at the same speed within t

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40

An electron possessing a kinetic energy of 100 eV circulates in a path of radius 10 cm within a magnetic field. Determine the magnetic field and the number of revolutions per secon

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41

A narrow beam of protons having kinetic energy K emerges from an accelerator. The beam is deflected by a perpendicular magnetic field such that it just misses a plane target kept a

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42

After being accelerated through a potential difference of 12 kV , a charged particle attains a speed of 1.0 10^6 m s ⁻¹ . It is subsequently injected perpendicularly into a magneti

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43

Doubly ionized helium ions are projected with a speed of 10 km s ⁻¹ perpendicular to a uniform magnetic field of magnitude 1.0 T . Calculate the force acting on an ion.

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44

Doubly ionized helium ions are projected with a speed of 10 km s ⁻¹ perpendicular to a uniform magnetic field of magnitude 1.0 T . Calculate the radius of the circle in which an io

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45

Doubly ionized helium ions are projected with a speed of 10 km s ⁻¹ perpendicular to a uniform magnetic field of magnitude 1.0 T . Calculate the time taken by an ion to complete th

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46

Determine the acceleration of a proton that is projected perpendicularly into a uniform magnetic field of 0.6 T with a velocity of 3 10^6 m s ⁻¹ .

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47

An electron travels along a circle of radius 1 m in a perpendicular magnetic field of strength 0.50 T . What would its speed be, and is this speed reasonable?

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48

A proton travels along a circle of radius 1 m in a perpendicular magnetic field of strength 0.50 T . What would its speed be?

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49

A particle of mass m and positive charge q travels with a uniform velocity v and enters a region of magnetic field B , as shown in the figure. How much time does the particle spend

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50

A particle of mass m and positive charge q travels with a uniform velocity v and enters a region of magnetic field B , as shown in the figure. How much time does the particle spend

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51

A particle of mass m and positive charge q travels with a uniform velocity v and enters a region of magnetic field B , as shown in the figure. How much time does the particle spend

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52

A particle of mass m and negative charge of magnitude q travels with a uniform velocity v and enters a region of magnetic field B , as shown in the figure. Determine the radius of

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53

A particle with mass m and charge q is projected into a region having a perpendicular magnetic field B . Determine the angle of deviation of the particle when it exits the magnetic

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54

A particle with mass m and charge q is projected into a region having a perpendicular magnetic field B . Determine the angle of deviation of the particle when it exits the magnetic

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55

A particle with mass m and charge q is projected into a region having a perpendicular magnetic field B . Determine the angle of deviation of the particle when it exits the magnetic

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56

A narrow beam of singly-charged carbon ions travelling at a constant velocity of 6.0 10^4 m s ⁻¹ is injected perpendicularly into a rectangular region with a uniform magnetic field

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57

After being accelerated through a potential difference of 500 V , Fe ^+ ions are injected normally into a homogeneous magnetic field B having a strength of 20.0 mT . Determine the

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58

A narrow beam of singly charged potassium ions with a kinetic energy of 32 keV enters a region of width 1.00 cm that contains a magnetic field of strength 0.500 T , as shown in the

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59

As illustrated in the figure, a convex lens of focal length 12 ext cm is situated within a uniform magnetic field B of magnitude 1.2 ext T oriented parallel to its principal axis.

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60

From an electron gun, electrons are emitted with negligible speed and subsequently accelerated along the x -axis by a potential difference V . Emerging from a narrow hole, these el

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61

Consider two particles, each of mass m , positioned at a separation distance d inside a uniform magnetic field B . The particles possess opposite charges of equal magnitude q . At

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62

Consider two particles, each of mass m , positioned at a separation distance d inside a uniform magnetic field B . The particles possess opposite charges of equal magnitude q . At

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63

Consider two particles, each of mass m , positioned at a separation distance d inside a uniform magnetic field B . The particles possess opposite charges of equal magnitude q . At

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64

Consider two particles, each of mass m , positioned at a separation distance d inside a uniform magnetic field B . The particles possess opposite charges of equal magnitude q . At

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65

A uniform magnetic field of magnitude 0.20 T is directed from east to west in space. At what speed must a particle of mass 0.010 g and charge 1.0 10⁻⁵ C be projected from south to

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66

A particle travels in a circle of diameter 1.0 cm under the influence of a 0.40 T magnetic field. The application of a 200 V m ⁻¹ electric field makes the path straight. Determine

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67

Travelling at a speed of 2.0 10^5 m s ⁻¹ , a proton passes undeflected through crossed electric and magnetic fields that are perpendicular to each other. The proton's velocity is p

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68

A particle with a mass of 5.0 10⁻¹² kg and a charge of 5.0 C is projected at a speed of 1.0 km s ⁻¹ into a magnetic field of magnitude 5.0 mT . The angle between the velocity and t

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69

A proton projected into a magnetic field of 0.020 T moves in a helical path with a radius of 5.0 cm and a pitch of 20 cm . Determine the velocity components of the proton parallel

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70

A particle with mass m and charge q is released from the origin in a region where the electric field and magnetic field are given as B = -B₀ j and E = E₀ k . Determine the particle

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71

From the negative plate of a parallel plate capacitor charged to a potential difference V , an electron is emitted with negligible speed. The separation between the plates is d , a

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72

A rectangular coil comprising 100 turns has a length of 5 cm and a width of 4 cm . It is positioned such that its plane is parallel to a uniform magnetic field, and a current of 2

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73

A circular coil with 50 turns and a radius of 2.0 cm carries a 5.0 A current while rotating in a magnetic field of strength 0.20 T . Determine the maximum torque exerted on the coi

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74

A circular coil with 50 turns and a radius of 2.0 cm carries a 5.0 A current while rotating in a magnetic field of strength 0.20 T . At a specific orientation, the torque exerted o

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75

A rectangular loop with sides of 20 cm and 10 cm carries a current of 5.0 A . A uniform magnetic field of magnitude 0.20 T is present, directed parallel to the longer side of the l

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76

A rectangular loop with sides of 20 cm and 10 cm carries a current of 5.0 A . A uniform magnetic field of magnitude 0.20 T is present, directed parallel to the longer side of the l

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77

A circular coil with a radius of 2.0 cm consists of 500 turns and carries a current of 1.0 A . The axis of the coil forms an angle of 30^ with a uniform magnetic field of magnitude

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78

A circular loop carrying a current i is made of wire with a total length L . A uniform magnetic field B is present parallel to the plane of the loop. Determine the torque on the lo

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79

A wire with a total length L is used to form a square loop carrying a current i . A uniform magnetic field B is present parallel to the plane of the loop. Determine the torque on t

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80

A square coil with n turns and an edge length l carries a current i . It is placed on a smooth horizontal plate. A uniform magnetic field B is present in a direction parallel to on

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81

A nonconducting ring of radius r and mass m carries a total charge q that is uniformly distributed over it. The ring is rotated about its axis with an angular speed . Determine the

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82

A nonconducting ring of radius r and mass m carries a total charge q that is uniformly distributed over it. The ring is rotated about its axis with an angular speed . Determine the

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83

A nonconducting ring of radius r and mass m carries a total charge q that is uniformly distributed over it. The ring is rotated about its axis with an angular speed . If l represen

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84

A nonconducting plate of mass m and radius r has a charge q uniformly distributed over it. The plate rotates about its axis with an angular speed . What is the relationship between

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85

Consider a solid sphere of radius r and mass m having a charge q distributed uniformly throughout its volume. The sphere rotates about a diameter with an angular speed . The relati

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86

If projected with identical velocity perpendicular to a magnetic field, which of the following particles will be subjected to a magnetic force of maximum magnitude?

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87

A positively charged particle projected towards the east is deflected northwards by a magnetic field. The magnetic field could be directed

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88

Which of the following particles will exhibit the minimum frequency of revolution when projected with identical velocities perpendicular to a magnetic field?

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89

A charged particle, attached to a string fixed at one point, is whirled in a horizontal circle on a frictionless table. If a magnetic field is switched on in the vertical direction

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90

Which of the following particles will trace out the smallest circle if projected with identical velocity perpendicular to a magnetic field?

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91

A circular loop with an area of 1 cm ^2 carrying a 10 A current is positioned in a 0.1 T magnetic field that is perpendicular to the plane of the loop. The torque exerted on the lo

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92

A beam comprising protons and electrons, travelling at the same speed, traverses a thin region containing a magnetic field perpendicular to the beam. The protons and the electrons

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93

A uniform circular wire of radius a has an electric current i entering and exiting through diametrically opposite points. Passing through the centre at a speed v , a charged partic

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94

A particle travels in a region containing a uniform magnetic field and a parallel, uniform electric field. At a specific instant, the particle's velocity is perpendicular to the di

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95

A charged particle is moving through a uniform magnetic field. At a given instant, the particle's velocity forms an acute angle with the magnetic field. The path followed by the pa

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96

When a charged particle at rest experiences zero electromagnetic force,

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97

Suppose a charged particle is projected inside a gravity-free room and experiences a deflection. Which of the following statements apply?

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98

When a charged particle held at rest experiences an electromagnetic force,

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99

A charged particle travels along a circle under the influence of possible constant electric and magnetic fields. Which of the following conditions is possible?

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100

A charged particle travels undeflected through a region containing an electric and a magnetic field. It is possible that

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101

A charged particle travels in a gravity-free space without any change in velocity. Which of the following could be possible?

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102

An electron travels along the positive x -axis. A magnetic field is to be applied for a brief duration to reverse the electron's direction, making it move parallel to the negative

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103

If a charged particle travels without acceleration in a region containing electric and magnetic fields,

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104

Consider two ions of equal mass, where one is singly-ionized while the other is doubly-ionized. They are projected from an identical location into a uniform magnetic field, sharing

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105

Suppose E and B represent the electric and magnetic fields in a reference frame S , while E ' and B ' represent them in another frame S' that moves with a velocity v relative to S

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