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Electromagnetic Waves · Question 13

JEE Main 2026 (Online) 23rd January Morning ShiftNumericalEasy📈 Topic in 65% papers+4
1

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 )

Answer

2

Solution

Amplitude E0 = 377 N/C

Average intensity I = 12c 0 E02 = E022 0 c

Since 0 c = 0 0 0 = 0 0 = 377 :

I = 3772 377 = 12 W/m2

= 2

Answer: 2

JEE Main 2026 (Online) 23rd January Morning Shift

Keep practising — Electromagnetic Waves

2

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
3

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
4

A laser beam has intensity of 4.0 1014 W/m2. The amplitude of magnetic field associated with beam is T. (Take 0 = 8.85 10-12 C2/Nm2 and c = 3 108 m/s)

  1. 1.83
  2. 2.0
  3. 5.5
  4. 18.3
JEE Main 2026 (Online) 22nd January Evening Shift
5

If , E and t represent the free space permittivity, electric field and time respectively, then the unit of Et will be :

  1. Am
  2. A/m
  3. A/m2
  4. Am2
JEE Main 2026 (Online) 22nd January Evening Shift
6

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

  1. Bz = 2.3 10-7 [0.6 103x - 1.8 1011t ]
  2. Bz = 2.3 10-7 [0.6 103x + 1.8 1011t ]
  3. By = 2.3 10-7 [0.6 103x - 1.8 1011t ]
  4. By = 69 [0.6 103x + 1.8 1011t ]
JEE Main 2026 (Online) 21st January Morning Shift
7

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 current density is . [Take 14 0 = 9 109 N m2/C2]

JEE Main 2026 (Online) 21st January Evening Shift
8

If 0 denotes the permittivity of free space and E is the flux of the electric field through the area bounded by the closed surface, then dimensions of ( 0 d Edt ) are that of :

  1. electric charge
  2. electric field
  3. electric current
  4. electric potential
JEE Main 2025 (Online) 7th April Morning Shift
9

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

  1. Vm
  2. NC-1
  3. NC
  4. Nm
JEE Main 2025 (Online) 7th April Evening Shift
10

If an optical medium possesses a relative permeability of 10 and relative permittivity of 10.0885, then the velocity of light is greater in vacuum than that in this medium by times. ( 0 = 4 10-7 H/m, 0 = 8.85 10-12 F/m, c = 3 108 m/s)

JEE Main 2025 (Online) 4th April Evening Shift
11

The radiation pressure exerted by a 450 W light source on a perfectly reflecting surface placed 2 m away from it, is

  1. 3 10-8 Pascals
  2. 0
  3. 1.5 10-8 Pascals
  4. 6 10-8 Pascals
JEE Main 2025 (Online) 3rd April Morning Shift

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