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Electromagnetic Waves — JEE Main & Advanced Physics PYQs

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

281 questionsPhysicsSolutions on every page
1

The electric field associated with an electromagnetic wave travelling in vacuum is given by E₀ (3y + 4z + t) , i , where is the angular frequency. All quantities are in SI units. T

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2

A monochromatic source of light operating at 15 kW emits 2.5 10²² photons/s. The region of an electromagnetic spectrum to which the emitted electromagnetic radiation belongs to ___

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3

For an electromagnetic wave propagating through vacuum, k , E and represent propagation vector, electric field and angular frequency, respectively. The magnetic field associated wi

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4

A point light source emits E.M. waves in free space. A detector, placed at a distance of L m, measures the intensity as I_o . The detector is now shifted to another location on the

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5

A displacement current of 4.0 A can be set up in the space between two parallel plates of 6 F capacitor. The rate of change of potential difference across the plates of the capacit

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6

A magnetic field vector in an electromagnetic wave is represented by B =B₀ (2 vt- 2 x ) j . Its associated electric field vector is ______.

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7

An electromagnetic wave travels in free space along the x -direction. At a particular point in space and time, B = 2 10⁻⁷ j T is associated with this wave. The value of correspondi

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8

An electromagnetic wave travelling in x -direction is described by field equation E_y = 300 (t - x c ) . If the electron is restricted to move in y -direction only with speed of 1.

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9

A plane electromagnetic wave is moving in free space with velocity c=3 10⁸ ~m / s and its electric field is given as E =54 (k z- t) j ~V / m , where j is the unit vector along y -a

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10

The electric field of an electromagnetic wave travelling through a medium is given by E (x, t)=25 (2.0 10¹⁵ t-10⁷ x ) n then the refractive index of the medium is _ _ _ _ . (All gi

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11

Match the List-I with List-II ( array |l|l|l|l| & List-I & & List-II A. & Radio-wave & I. & is produced by Magnetron valve B. & Micro-wave & II. & due to change in the vibrational

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12

The ratio of speeds of electromagnetic waves in vacuum and a medium, having dielectric constant k=3 and permeability of =2 ₀ , is ( ₀= permeability of vacuum)

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13

Match List - I with List - II. array l List - I & List - II Relation & Law A. E d l =- d d t B d a & I. Ampere's circuital law B. B d l = ₀ (I+ ₀ d _ E d t ) & II. Faraday's laws o

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14

The equation of the electric field of an electromagnetic wave propagating through free space is given by : E= 377 (6.27 10³ t-2.09 10⁻⁵ x ) N / C The average power of the electroma

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15

A laser beam has intensity of 4.0 10¹⁴ ~W / m ² . The amplitude of magnetic field associated with beam is _ _ _ _ T. (Take _ o =8.85 10⁻¹² C ² / Nm ² and c =3 10⁸ ~m / s )

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16

The electric field of a plane electromagnetic wave, travelling in an unknown nonmagnetic medium is given by, E_ y =20 (3 10⁶ x-4.5 10¹⁴ t ) V / m (where x, t and other values have

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17

An electromagnetic wave of frequency 100 MHz propagates through a medium of conductivity, =10 mho / m . The ratio of maximum conduction current density to maximum displacement curr

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18

The electric field in a plane electromagnetic wave is given by : E_ y =69 [0.6 10³ x-1.8 10¹¹ t ] V / m . The expression for magnetic field associated with this electromagnetic wav

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19

A cube of unit volume contains 35 10^7 photons of frequency 10¹⁵ ~Hz . If the energy of all the photons is viewed as the average energy being contained in the electromagnetic waves

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20

The unit of 2 I ₀ c is : (I = intensity of an electromagnetic wave, c : speed of light)

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21

Two plane polarized light waves combine at a certain point whose electric field components are aligned & E ₁= E ₀ t & E ₂= E ₀ ( t + 3 ) aligned Find the amplitude of the resultant

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22

If an optical medium possesses a relative permeability of 10 and relative permittivity of 1 0.0885 , then the velocity of light is greater in vacuum than that in this medium by ___

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23

A plane electromagnetic wave propagates along the +x direction in free space. The components of the electric field, E and magnetic field, B vectors associated with the wave in Cart

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24

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Electromagnetic waves carry energy but not momentum. Reas

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25

The magnetic field of an E.M. wave is given by B = ( 3 2 i + 1 2 j ) 30 [ ( t - z c ) ] (S.I. Units). The corresponding electric field in S.I. units is :

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26

Due to presence of an em-wave whose electric component is given by E =100 ( t - kx ) NC ⁻¹ , a cylinder of length 200 cm holds certain amount of em-energy inside it. If another cyl

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27

A plane electromagnetic wave of frequency 20 MHz travels in free space along the +x direction. At a particular point in space and time, the electric field vector of the wave is E _

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28

The electric field of an electromagnetic wave in free space is E =57 [7.5 10^6 t -5 10⁻³(3 x+4 y) ](4 i -3 j ) N / C . The associated magnetic field in Tesla is

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29

A parallel plate capacitor of area A=16 ~cm ^2 and separation between the plates 10 cm , is charged by a DC current. Consider a hypothetical plane surface of area A ₀=3.2 ~cm ^2 in

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30

A metal target with atomic number Z=46 is bombarded with a high energy electron beam. The emission of X-rays from the target is analyzed. The ratio r of the wavelengths of the K_ -

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31

The magnetic field in a plane electromagnetic wave is B _ y = (3.5 10⁻⁷ ) (1.5 10^3 x+0.5 10¹¹ t ) T . The corresponding electric field will be :

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32

A plane EM wave is propagating along x direction. It has a wavelength of 4 ~mm . If electric field is in y direction with the maximum magnitude of 60 Vm ⁻¹ , the equation for magne

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33

In the given electromagnetic wave E _ y =600 ( t - kx ) Vm ⁻¹ , intensity of the associated light beam is (in W / m ^2 : (Given ₀=9 10⁻¹² C ^2 ~N ⁻¹ ~m ⁻² )

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34

Electromagnetic waves travel in a medium with speed of 1.5 10^8 ~m ~s ⁻¹ . The relative permeability of the medium is 2.0 . The relative permittivity will be:

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35

Match List-I with List-II : array |c|c|c|c| & List-I & & List-II & EM-Wave & & Wavelength Range (A) & Infra-red & (I) & < 10⁻³ ~nm (B) & Ultraviolet & (II) & 400 ~nm to 1 ~nm (C) &

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36

An alternating voltage of amplitude 40 ~V and frequency 4 kHz is applied directly across the capacitor of 12 F . The maximum displacement current between the plates of the capacito

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37

Arrange the following in the ascending order of wavelength: A. Gamma rays ( ₁ ) B. x - rays ( ₂ ) C. Infrared waves ( ₃ ) D. Microwaves ( ₄ ) Choose the most appropriate answer fro

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38

The electric field in an electromagnetic wave is given by E = i 40 ( t -z / c ) NC ⁻¹ . The magnetic field induction of this wave is (in SI unit) :

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39

If frequency of electromagnetic wave is 60 MHz and it travels in air along z direction then the corresponding electric and magnetic field vectors will be mutually perpendicular to

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40

Given below are two statements: Statement I: Electromagnetic waves carry energy as they travel through space and this energy is equally shared by the electric and magnetic fields.

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41

In a plane EM wave, the electric field oscillates sinusoidally at a frequency of 5 × 10 10 Hz and an amplitude of 50 V m – 1 . The total average energy density of the electromagnet

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42

Match List I with List II List I List II A. Gauss’s law of magnetostatics i. ∮ E → · d a → = 1 ε 0 ∫ ρ d V B. Faraday’s law of electro magnetic induction ii. ∮ B → · d a → = 0 C. A

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43

The electric field of an electromagnetic wave in free space is represented as E → = E 0 cos ( ω t - k z ) i ^ . The corresponding magnetic induction vector will be :

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44

A plane electromagnetic wave of frequency 35 MHz travels in free space along the X -direction. At a particular point (in space and time) E → = 9 . 6 j ^ V m - 1 . The value of magn

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45

An object is placed in a medium of refractive index 3 . An electromagnetic wave of intensity 6 × 10 8 W m - 2 falls normally on the object and it is absorbed completely. The radiat

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46

A plane electromagnetic wave propagating in x -direction is described by E y = 200 V m - 1 sin 1 . 5 × 10 7 t - 0 . 05 x ; The intensity of the wave is : (Use ϵ 0 = 8 . 85 × 10 - 1

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47

The electric field associated with an electromagnetic wave propagating in a dielectric medium is given by E &#8594; = 30 2 x &#8743; + y &#8743; sin 2 &#960; 5 &#215; 10 14 t - 10

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48

Match List-I with List II of Electromagnetic waves with corresponding wavelength range: List I List II (A) Microwave (I) 400 nm to 1 nm (B) Ultraviolet (II) 1 nm to 10 &#8211; 3 nm

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49

Given below are two statements: Statement I : Out of microwaves, infrared rays and ultraviolet rays, ultraviolet rays are the most effective for the emission of electrons from a me

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50

In an electromagnetic wave, at an instant and at a particular position, the electric field is along the negative z-axis and magnetic field is along the positive x-axis. Then the di

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51

Which of the following Maxwell&rsquo;s equation is valid for time varying conditions but not valid for static conditions:

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52

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A : EM waves used for optical communication have longer wavelengths t

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53

A plane electromagnetic wave of frequency 20 MHz propagates in free space along x -direction. At a particular space and time E &#8594; = 6 . 6 j ^ V m - 1 . What is B &#8594; at th

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54

The amplitude of magnetic field in an electromagnetic wave propagating along y -axis is 6 . 0 &#215; 10 &#8211; 7 T . The maximum value of electric field in the electromagnetic wav

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55

The waves emitted when a metal target is bombarded with high energy electrons are

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56

The energy density associated with electric field E &#8594; and magnetic field B &#8594; of an electromagnetic wave in free space is given by ( &#949; 0 - permittivity of free spac

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57

The ratio of average electric energy density and total average energy density of electromagnetic wave is:

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58

Match the List-I with List-II: List I List II A Microwaves I Radioactive decay of the nucleus B Gamma rays II Rapid acceleration and deceleration of electron in aerials C Radio wav

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59

Match List I and List II List I List II A Microwaves I Physiotherapy B UV rays II Treatment of cancer C Infra-red rays III Lasik eye surgery D X-rays IV Aircraft navigation Choose

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60

Given below are two statements : Statement I : Electromagnetic waves are not deflected by electric and magnetic field. Statement II : The amplitude of electric field and the magnet

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61

Which of the following are true? A. Speed of light in vacuum is dependent on the direction of propagation. B. Speed of light in a medium is independent of the wavelength of light.

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62

Match List I and List II A Gauss&rsquo;s Law in Electrostatics I &#8750; E &#8594; &#183; d l &#8594; = - d &#981; B d t B Faraday&#39;s Law II &#8750; B &#8594; &#183; d A &#8594;

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63

All electromagnetic wave is transporting energy in the negative z direction. At a certain point and certain time the direction of electric field of the wave is along positive y dir

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64

The electric field and magnetic field components of an electromagnetic wave going through vacuum is described by E x = E 0 sin k z - &#969; t B y = B 0 sin k z - &#969; t Then the

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65

If E &#8594; and K &#8594; represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by: ( &#969; - angular frequency)

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66

Match List - I with List - II List-I List-II (a) UV rays (i) Diagnostic tool in medicine (b) X -rays (ii) Water purification (c) Microwave (iii) Communication, Radar (d) Infrared w

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67

Sun light falls normally on a surface of area 36 cm 2 and exerts an average force of 7 . 2 &#215; 10 - 9 N within a time period of 20 minutes. Considering a case of complete absorp

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68

Identify the correct statements from the following descriptions of various properties of electromagnetic waves. A. In a plane electromagnetic wave electric field and magnetic field

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69

A beam of light travelling along X -axis is described by the electric field E y = 900 sin &#969; t - x c . The ratio of electric force to magnetic force on a charge q moving along

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70

The oscillating magnetic field in a plane electromagnetic wave is given by B y = 5 &#215; 10 - 6 sin 1000 &#960; 5 x - 4 &#215; 10 8 t T . The amplitude of electric field will be

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71

The magnetic field of a plane electromagnetic wave is given by B &#8594; = 2 &#215; 10 - 8 sin 0 . 5 &#215; 10 3 x + 1 . 5 &#215; 10 11 t j ^ T . The amplitude of the electric fiel

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72

Light wave travelling in air along x -direction is given by E y = 540 sin &#960; &#215; 10 4 x - c t V m - 1 . Then, the peak value of magnetic field of wave will be (Given c = 3 &

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73

The intensity of the light from a bulb incident on a surface is 0 . 22 W m - 2 . The amplitude of the magnetic field in this light-wave is _____ &#215; 10 - 9 T (Given : Permittivi

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74

An EM wave propagating in x -direction has a wavelength of 8 mm . The electric field vibrating y -direction has maximum magnitude of 60 Vm - 1 . Choose the correct equations for el

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75

Given below are two statements : Statement I: A time varying electric field is a source of changing magnetic field and vice-versa. Thus a disturbance in electric or magnetic field

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76

Match List - I with List - II List-I List-II (a) Ultravoilet rays (i) Study crystal structure (b) Microwaves (ii) Greenhouse effect (c) Infrared waves (iii) Sterilizing surgical in

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77

Which is the correct ascending order of wavelengths?

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78

If Electric field intensity of a uniform plane electro magnetic wave is given as E = - 301 . 6 sin k z - &#969; t a ^ x + 452 . 4 sin k z - &#969; t a ^ y V m - 1 . Then, magnetic

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79

The electromagnetic waves travel in a medium at a speed of 2 . 0 &#215; 10 8 m s - 1 . The relative permeability of the medium is 1 . 0 . The relative permittivity of the medium wi

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80

The electric field in an electromagnetic wave is given by E = 56 . 5 sin &#969; t - x c NC - 1 . Find the intensity of the wave if it is propagating along x -axis in the free space

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81

An electric bulb is rated as 200 W . What will be the peak magnetic field at 4 m distance produced by the radiations coming from this bulb? Consider this bulb as a point source wit

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82

A plane electromagnetic wave travels in a medium of relative permeability 1 . 61 and relative permittivity 6 . 44 . If magnitude of magnetic intensity is 4 . 5 &#215; 10 - 2 A m -

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83

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 figu

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84

The magnetic field vector of an electromagnetic wave is given by B = B 0 i ^ + j ^ 2 cos k z - &#969; t where i ^ , j ^ represents unit vector along x and y -axis respectively. At

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85

The electric field in an electromagnetic wave is given by E = 50 &#160; N &#160; C - 1 sin &#969; ( t - x c ) The energy contained in a cylinder of volume V is 5 . 5 &#215; 10 - 12

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86

A plane electromagnetic wave with a frequency of 30 MHz travels in free space. At a particular point in space and time, the electric field is 6 V m - 1 . The magnetic field at this

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87

The electric field in a plane electromagnetic wave is given by, E = 50 sin 500 x - 10 &#215; 10 10 t &#160; V &#160; m - 1 . The velocity of an electromagnetic wave in this medium

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88

A light beam is described by E = 800 sin &#969; t - x c . An electron is allowed to move normal to the propagation of light beam with a speed of 3 &#215; 10 7 m s - 1 . What is the

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89

The electric field in a plane electromagnetic wave is given by E &#8594; = 200 cos 0 . 5 &#215; 10 3 m - 1 x - 1 . 5 &#215; 10 11 rad s - 1 t V m - 1 j ^ . If this wave falls norma

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90

A linearly polarised electromagnetic wave in vacuum is E = 3 . 1 cos 1 . 8 z - 5 . 4 &#215; 10 6 t i ^ N C - 1 is incident normally on a perfectly reflecting wall at z = a . Choose

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91

Intensity of sunlight is observed as 0 . 092 Wm - 2 at a point in free space. What will be the peak value of magnetic field at that point ? &#949; 0 = 8 . 85 &#215; 10 - 12 C 2 N -

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92

In an electromagnetic wave, the electric field vector and magnetic field vector are given as E &#8594; = E 0 i ^ and B &#8594; = B 0 k ^ , respectively. The direction of propagatio

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93

A plane electromagnetic wave propagating along y-direction can have the following pair of electric field ( E &#8594; ) and magnetic field ( B &#8594; ) components.

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94

A plane electromagnetic wave of frequency 100 MHz is traveling in a vacuum along the x - direction. At a particular point in space and time, B &#8594; = 2 . 0 &#215; 10 - 8 k ^ T &

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95

If 2 . 5 &#215; 10 - 6 N average force is exerted by a light wave on a non-reflecting surface of 30 cm 2 area during 40 min of time span, the energy flux of light just before it fa

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96

Red light differs from blue light as they have :

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97

A plane electromagnetic wave of frequency 500 MHz is traveling in a vacuum along the y - direction. At a particular point in space and time, B &#8594; = 8 . 0 &#215; 10 - 8 z ^ T .

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98

For an electromagnetic wave travelling in free space, the relation between average energy densities due to electric U e and magnetic U m fields is :

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99

A radiation is emitted by 1000 W bulb and it generates an electric field and magnetic field at P , placed at a distance of 2 m . The efficiency of the bulb is 1 . 25 % . The value

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100

The wavelength of an X-ray beam is 10 &#8491; . The mass of a fictitious particle having the same energy as that of the X-ray photons is x 3 h kg . The value of x is ___ . ( h = Pl

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101

An X-ray tube is operated at 1 . 24 million volt. The shortest wavelength of the produced photon will be:

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102

Match List - I with List - II. List-I List-II (a) Source of microwave frequency (i) Radioactive decay of nucleus (b) Source of infrared frequency (ii) Magnetron (c) Source of Gamma

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103

An electromagnetic wave of frequency 3 GHz enters a dielectric medium of relative electric permittivity 2 . 25 from vacuum. The wavelength of this wave in that medium will be _____

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104

An electromagnetic wave of frequency 5 GHz , is travelling in a medium whose relative electric permittivity and relative magnetic permeability both are 2 . Its velocity in this med

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105

In an X -ray tube, electrons emitted from a filament (cathode) carrying current I hit a target (anode) at a distance d from the cathode. The target is kept at a potential V higher

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106

For a plane electromagnetic wave, the magnetic field at a point x and time t is : B &#8594; x , &#8201; t = 1 .2 &#215; 10 &#8722; 7 sin 0 .5 &#215; 10 3 x + 1 .5 &#215; 10 11 t k

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107

The correct match between the entries in column I and column II are : I II Radiation Wavelength a Microwave i 100 m b Gamma rays ii 10 - 15 m c A.M. radio iii 10 - 10 m d X&ndash;r

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108

The electric field of a plane electromagnetic wave is given by E &#8594; = E 0 x ^ + y ^ sin k z - &#969; t . Its magnetic field will be given by

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109

Choose the correct option relating wavelengths of different parts of electromagnetic wave spectrum:

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110

The electric field of a plane electromagnetic wave propagating along the x direction in vacuum is E &#8594; = E 0 jcos ( &#969; t - kx ) . The magnetic field B &#8594; , at the mom

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111

Two sources of light emit X-rays of wavelength 1 nm and visible light of wavelength 500 nm, respectively. Both the sources emit light of the same power 200 W. The ratio of the numb

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112

The magnetic field of a plane electromagnetic wave is B &#8594; = 3 &#215; 10 - 8 sin 200 &#960; ( y + c t ) i ^ T . Where, c = 3 &#215; 10 8 m s - 1 is the speed of light the corr

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113

In a plane electromagnetic wave, the directions of electric field and magnetic field are represented by k ^ and 2 i ^ - 2 j ^ , respectively. What is the unit vector along directio

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114

A plane electromagnetic wave, has frequency of 2 . 0 &#215; 10 10 Hz and its energy density is 1 . 02 &#215; 10 - 8 J m - 3 in vacuum. The amplitude of the magnetic field of the wa

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115

A plane electromagnetic wave is propagating along the direction i ^ + j ^ 2 , with its polarization along the direction k . ^ The correct form of the magnetic field of the wave wou

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116

The electric fields of two plane electromagnetic plane waves in vacuum are given by E 1 &#8594; = E 0 j ^ cos &#8289; &#969; t - k x and E 2 &#8594; = E 0 k ^ cos &#8289; &#969; t

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117

A plane electromagnetic wave of frequency 25 G H z is propagating in vacuum along the z-direction. At a particular point in space and time, the magnetic filed is given by B &#8594;

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118

If the magnetic field in a plane electromagnetic wave is given by B &#8594; = 3 &#215; 10 - 8 sin &#8289; 1.6 &#215; 10 3 x + 48 &#215; 10 10 t j ^ T , then what will be expression

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119

A laser beam of power 27 &#160; mW has a cross-sectional area of 10 &#160; mm 2 . The magnitude of the maximum electric field in this electromagnetic wave is given by [Take &#949;

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120

Name the EM wave used for studying crystal structure of solids

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