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Electromagnetic Waves · Question 5

JEE Main 2026 (Online) 4th April Evening ShiftMCQMedium📈 Topic in 65% papers+4−1
1

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

  1. E=- B0 (2 t- 2 x ) k
  2. E=- B0 (2 t- 2 x ) i
  3. E= B0 (2 t- 2 x ) k
  4. E= B0 (2 t- 2 x ) i

Answer

(1) E=- B0 (2 t- 2 x ) k

Solution

From the phase (2 t- 2 x ), the wave travels along +x.

B is along j, and the direction of propagation is along E B.

(- k ) j= i E is along - k (in phase with B)

[figure]

E0=cB0 and c= E0= B0

E=- B0 (2 t- 2 x ) k

Answer: (1)

JEE Main 2026 (Online) 4th April Evening Shift

Keep practising — Electromagnetic Waves

2

An electromagnetic wave travelling in x-direction is described by field equation Ey=300 (t- xc ). If the electron is restricted to move in y-direction only with speed of 1.5 106 m/s then ratio of maximum electric and magnetic forces acting on the electron is .

  1. 200
  2. 150
  3. 400
  4. 300
JEE Main 2026 (Online) 2nd April Morning Shift
3

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 corresponding electric field E at this point is V/m.

  1. 60 k
  2. -60 k
  3. 30 k
  4. -600 k
JEE Main 2026 (Online) 2nd April Evening Shift
4

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 given measurements are in SI units)

  1. 2
  2. 1.2
  3. 1.5
  4. 1.7
JEE Main 2026 (Online) 28th January Morning Shift
5

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 (kz - t) j V/m, where j is the unit vector along y-axis. The magnetic field vector B of the wave is :

  1. -1.8 10-7 (kz - t) i T
  2. +1.8 10-7 (kz - t) i T
  3. 1.4 10-7 (kz - t) k T
  4. 1.4 10-7 (kz - t) i T
JEE Main 2026 (Online) 28th January Evening Shift
6

Match the LIST-I with LIST-II Choose the correct answer from the options given below:

  1. A-IV, B-II, C-I, D-III
  2. A-IV, B-III, C-I, D-II
  3. A-IV, B-I, C-II, D-III
  4. A-II, B-IV, C-III, D-I
JEE Main 2026 (Online) 24th January Morning Shift
7

A point source is kept at the center of a spherically enclosed detector. If the volume of the detector is increased by 8 times, the intensity will

  1. increase by 64 times
  2. decrease by 4 times
  3. decrease by 8 times
  4. increase by 8 times
JEE Main 2026 (Online) 24th January Evening Shift
8

Match List-I with List-II. Choose the correct answer from the options given below :

  1. A-I, B-IV, C-III, D-II
  2. A-II, B-III, C-IV, D-I
  3. A-IV, B-I, C-II, D-III
  4. A-II, B-III, C-I, D-IV
JEE Main 2026 (Online) 23rd January Morning Shift
9

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 intensity of the electromagnetic wave is ( 1 ) W/m2. The value of α is . (Take 0 0 = 377 in SI units )

JEE Main 2026 (Online) 23rd January Morning Shift
10

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)

  1. 6 : 1
  2. 3 : 2
  3. 6 : 1
  4. 36 : 1
JEE Main 2026 (Online) 23rd January Evening Shift
11

The electric field of a plane electromagnetic wave, travelling in an unknown nonmagnetic medium is given by, Ey = 20 (3 106 x - 4.5 1014 t ) V/m (where x, t and other values have S.I. units). The dielectric constant of the medium is (speed of light in free space is 3 108 m/s)

JEE Main 2026 (Online) 22nd January Morning Shift

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