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JEE Electromagnetic Waves PYQs with Solutions

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

281 questionsPhysics2002–2026Answers + solutions

About Electromagnetic Waves PYQs

Electromagnetic Waves has 281 previous year questions in the Quantrex Academy JEE Main & Advanced Physics bank. The 220 questions in this list come from JEE Main (162), 99 Percentile Qs Bank for JEE Main (30), NTA Abhyas JEE Main (15) and 3 other sources, spanning 2002 to 2026. Each question opens on its own page with the options, the correct answer and the worked solution where available.

Questions by year (this list)

  • 2026: 18
  • 2025: 11
  • 2024: 17
  • 2023: 19
  • 2022: 17
  • 2021: 22
  • 2020: 29
  • 2019: 15
  • 2018: 5
  • 2017: 3
  • 2016: 3
  • 2015: 4

Electromagnetic Waves questions with solutions

1

The electric field associated with an electromagnetic wave travelling in vacuum is given by E_0 (3y + 4z + ω t)\, i , where ω is the angular frequency. All quantities are in SI

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2

A monochromatic source of light operating at 15 kW emits 2.5× 10^ 22 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 ω represent propagation vector, electric field and angular frequency, respectively. The magnetic field associated

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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

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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 μ F capacitor. The rate of change of potential difference across the plates of the

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6

A magnetic field vector in an electromagnetic wave is represented by B =B_0 (2π vt-(2π x)/(λ)) 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

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8

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

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9

A plane electromagnetic wave is moving in free space with velocity c=3 × 10^ 8 ~m / s and its electric field is given as E =54 (k z-ω t) j ~V / m , where j is the unit vector

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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 × 10^ 15 t-10^ 7 x) n then the refractive index of the medium is \_\_\_\_ .

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11

Match the List-I with List-II \( List-I List-II A. Radio-wave I. is produced by Magnetron valve B. Micro-wave II. due to change in the vibrational modes of atoms C. Infrared-wave

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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 μ=2 μ_ 0 , is ( μ_ 0 = permeability of vacuum)

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13

Match List - I with List - II. 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 =μ_ 0 ( I+ε_ 0 d φ_ E d t ) II. Faraday's

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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 × 10^ 3 t-2.09 × 10^ -5 x) N / C The average power of the

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15

A laser beam has intensity of 4.0 × 10^ 14 ~W / m^ 2 . The amplitude of magnetic field associated with beam is \_\_\_\_ T. (Take ε_ o =8.85 × 10^ -12 C^ 2 / Nm^ 2 and c=3 × 10^ 8

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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 × 10^ 6 x-4.5 × 10^ 14 t) V / m (where x, t and other

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17

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

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18

The electric field in a plane electromagnetic wave is given by : E_ y =69 [0.6 × 10^ 3 x-1.8 × 10^ 11 t] V / m . The expression for magnetic field associated with this

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19

A cube of unit volume contains 35 × 10^7 photons of frequency 10^ 15 ~Hz . If the energy of all the photons is viewed as the average energy being contained in the electromagnetic

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20

The unit of 2 I ε_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 ω t & E_2=E_0 (ω t+(π)/(3)) aligned Find the amplitude of the

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22

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

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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

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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.

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25

The magnetic field of an E.M. wave is given by B =( 3 2 i +(1)/(2) j ) 30 [ω(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 (ω t-kx) NC^ -1 , a cylinder of length 200 cm holds certain amount of em-energy inside it. If another

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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

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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

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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_α

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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 × 10^ 11 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

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33

In the given electromagnetic wave E_ y =600 (ω t-kx) Vm^ -1 , intensity of the associated light beam is (in W / m^2 : (Given ε_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 : -I -II EM-Wave Wavelength Range (A) Infra-red (I) (B) Ultraviolet (II) 400 nm to 1 nm (C) X-rays S (III) 1 mm to 700 nm (D) Gamma rays (IV) 1 nm to 10^

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36

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

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37

Arrange the following in the ascending order of wavelength: A. Gamma rays (λ_1) B. x - rays (λ_2) C. Infrared waves (λ_3) D. Microwaves (λ_4) Choose the most appropriate answer

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38

The electric field in an electromagnetic wave is given by E = i 40 ω(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 60MHz 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 50V m ^ – 1 . The total average energy density of the

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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 ∫ ρdV B. Faraday’s law of electro magnetic induction ii. ∮ → B · d → a = 0 C.

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43

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

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44

A plane electromagnetic wave of frequency 35MHz 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

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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

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46

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

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47

The electric field associated with an electromagnetic wave propagating in a dielectric medium is given by → E = 30(2 ∧ x + ∧ y )sin[2π(5 × 10 ^ 14 t - 10 ^ 7 3 z)]V m ^ - 1 .

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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) 400nm to 1nm (B) Ultraviolet (II) 1nm to 10 ^ – 3 nm (C) X

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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

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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

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51

Which of the following Maxwell’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

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53

A plane electromagnetic wave of frequency 20MHz propagates in free space along x -direction. At a particular space and time → E = 6 . 6 ^ j V m ^ - 1 . What is → B at this point?

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54

The amplitude of magnetic field in an electromagnetic wave propagating along y -axis is 6 . 0 × 10 ^ – 7 T . The maximum value of electric field in the electromagnetic wave is

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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 and magnetic field → B of an electromagnetic wave in free space is given by ( ε _ 0 - permittivity of free space, μ _ 0

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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

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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

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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’s Law in Electrostatics I ∮ → E · → dl = - d ϕ _ B dt B Faraday's Law II ∮ → B · d → A = 0 C Gauss’s Law in Magnetism III ∮ → B ·

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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

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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(kz - ) B _ y = B _ 0 sin(kz - ) Then the correct

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65

If → E and → K represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by: ( ω - 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

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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 × 10 ^ - 9 N within a time period of 20 minutes. Considering a case of complete

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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

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69

A beam of light travelling along X -axis is described by the electric field E _ y = 900sinω(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 × 10 ^ - 6 sin1000π(5x - 4 × 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 = 2 × 10 ^ - 8 sin(0 . 5 × 10 ^ 3 x + 1 . 5 × 10 ^ 11 t) ^ j T . The amplitude of the electric field would be

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72

Light wave travelling in air along x -direction is given by E _ y = 540sinπ × 10 ^ 4 (x - ct)V m ^ - 1 . Then, the peak value of magnetic field of wave will be (Given c = 3 × 10 ^

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73

The intensity of the light from a bulb incident on a surface is 0 . 22W m ^ - 2 . The amplitude of the magnetic field in this light-wave is _____ × 10 ^ - 9 T (Given

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74

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

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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

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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 . 6sin(kz - ) ^ a x + 452 . 4sin(kz - ) ^ a yV m ^ - 1 . Then, magnetic intensity H of

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79

The electromagnetic waves travel in a medium at a speed of 2 . 0 × 10 ^ 8 m s ^ - 1 . The relative permeability of the medium is 1 . 0 . The relative permittivity of the medium

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80

The electric field in an electromagnetic wave is given by E = 56 . 5sinω((t - x)/(c)) NC ^ - 1 . Find the intensity of the wave if it is propagating along x -axis in the free

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81

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

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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 × 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

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84

The magnetic field vector of an electromagnetic wave is given by B = B _ 0 ^ i + ^ j 2 cos(kz - ) where ^ i , ^ j represents unit vector along x and y -axis respectively. At t =

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85

The electric field in an electromagnetic wave is given by E = (50N C ^ - 1 )sinω ( t - (x)/(c) ) The energy contained in a cylinder of volume V is 5 . 5 × 10 ^ - 12 J . The value

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86

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

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87

The electric field in a plane electromagnetic wave is given by, E = 50sin(500x - 10 × 10 ^ 10 t)V m ^ - 1 . The velocity of an electromagnetic wave in this medium is: (Given c =

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88

A light beam is described by E = 800sinω(t - (x)/(c)) . An electron is allowed to move normal to the propagation of light beam with a speed of 3 × 10 ^ 7 ms ^ - 1 . What is the

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89

The electric field in a plane electromagnetic wave is given by → E = 200cos[(0 . 5 × 10 ^ 3 m ^ - 1 )x - (1 . 5 × 10 ^ 11 rad s ^ - 1 )t]V m ^ - 1 ^ j . If this wave falls

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90

A linearly polarised electromagnetic wave in vacuum is E = 3 . 1cos[(1 . 8)z - (5 . 4 × 10 ^ 6 )t] ^ i N C ^ - 1 is incident normally on a perfectly reflecting wall at z = a .

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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 ? ( ε _ 0 = 8 . 85 × 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 = E _ 0 ^ i and → B = B _ 0 ^ k , respectively. The direction of propagation of

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93

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

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94

A plane electromagnetic wave of frequency 100MHz is traveling in a vacuum along the x - direction. At a particular point in space and time, → B = 2 . 0 × 10 ^ - 8 ^ k T · (where

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95

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

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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 500MHz is traveling in a vacuum along the y - direction. At a particular point in space and time, → B = 8 . 0 × 10 ^ - 8 ^ z T . The

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

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100

The wavelength of an X-ray beam is 10 Å . The mass of a fictitious particle having the same energy as that of the X-ray photons is (x)/(3)hkg . The value of x is ___ . ( h =

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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

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103

An electromagnetic wave of frequency 3GHz 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 5GHz , is travelling in a medium whose relative electric permittivity and relative magnetic permeability both are 2 . Its velocity in this

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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 (x, t) = [1 .2 × 10 ^ - 7 sin(0 .5 × 10 ^ 3 x + 1 .5 × 10 ^ 11 t) ^ k ]T . The instantaneous

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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 100m b Gamma rays ii 10 ^ - 15 m c A.M. radio iii 10 ^ - 10 m d

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108

The electric field of a plane electromagnetic wave is given by → E = E _ 0 ( ^ x + ^ y )sin(kz - ) . 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 = E _ 0 jcos ( - kx ) . The magnetic field → B , at the moment t = 0 is:

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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

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112

The magnetic field of a plane electromagnetic wave is → B = 3 × 10 ^ - 8 sin[200π ( y + ct )] ^ i T . Where, c = 3 × 10 ^ 8 m s ^ - 1 is the speed of light the corresponding

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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

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114

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

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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

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116

The electric fields of two plane electromagnetic plane waves in vacuum are given by → E _ 1 = E _ 0 ^ j cos ⁡ ( - kx) and → E _ 2 = E _ 0 ^ k cos ⁡ ( - ky) At t = 0, a particle of

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117

A plane electromagnetic wave of frequency 25GHz is propagating in vacuum along the z-direction. At a particular point in space and time, the magnetic filed is given by → B = 5 ×

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118

If the magnetic field in a plane electromagnetic wave is given by → B = 3 × 10 ^ - 8 sin ⁡ (1.6 × 10 ^ 3 x + 48 × 10 ^ 10 t) ^ j T, then what will be expression for electric field

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119

A laser beam of power 27mW has a cross-sectional area of 10 mm ^ 2 . The magnitude of the maximum electric field in this electromagnetic wave is given by [Take ε _ 0 ≈ 9 × 10

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120

Name the EM wave used for studying crystal structure of solids

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