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Electromagnetic Waves - 1 - Free MCQ Practice Test with solutions, GATE


MCQ Practice Test & Solutions: Test: Electromagnetic Waves - 1 (10 Questions)

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Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 30 minutes
  • - Number of Questions: 10

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Test: Electromagnetic Waves - 1 - Question 1

Consider the following statements associated with an electromagnetic wave in free space:

  1. At every point in space, the electric field and th emagnetic vector field are perpendicular to each other and to the direction of propagation.
  2. Velocity of propagation of wave in free space is equal to 
  3.  oscillate in phase opposition and the ratio of their amplitude is constant being equal to 
  4. Whatever may be the frequency , the electromagnetic wave travels in space with velocity of light.

Which of the above statements are correct?

Detailed Solution: Question 1

  • Velocity of propagation of EM-wave in free space is equal  = speed of light (3 x 108 m/s). Hence statement-2 is not correct.
  •  oscillate in phase and the ratio of their amplitude is constant being equal to   . Hence, statement-3 is not correct.

Thus, statements-1 and 4 are only correct.

Test: Electromagnetic Waves - 1 - Question 2

Intrinsic impedance or charcteristic impedance of the non-conducting medium in the free space is

Detailed Solution: Question 2

Intrinsic impedance or characteristic impedance of the non-conducting medium in free space is given as

Test: Electromagnetic Waves - 1 - Question 3

If the magnitude of  in a plane wave is 1 V/m, what is the magnitude of H for a plane wave in free space?

Detailed Solution: Question 3

We know that,

Test: Electromagnetic Waves - 1 - Question 4

What is the velocity of a plane wave in a lossless medium having a relative permittivity of 5 and relative permeability of unity?

Detailed Solution: Question 4

Velocity of propagation is given by 

Test: Electromagnetic Waves - 1 - Question 5

A plane wave in free space has an average Poynting vector of 1 Wm-2. The average energy density is

Detailed Solution: Question 5

Poynting vector P= EH and total energy density W= μH2.

Test: Electromagnetic Waves - 1 - Question 6

Infree space   are respectively given by  and  The value of β and H0 are respectively

Detailed Solution: Question 6


This is a plane wave.
For plane wave in space,

Test: Electromagnetic Waves - 1 - Question 7

In a homogeneous non-conducting region where   The value of ∈r and ω are

Detailed Solution: Question 7




Test: Electromagnetic Waves - 1 - Question 8

In free space it is given that,  

Detailed Solution: Question 8

Looking at the phase  we can find that direction of propagation is +z.
Since  must also lie in a + z direction, A must have the direction  

Test: Electromagnetic Waves - 1 - Question 9

Assertion (A): Uniform plane electromagnetic waves are transverse in nature.
Reason (R): Uniform plane electromagnetic
waves have components of only in direction perpendicular to the direction of propagation and not in the direction of propagation.

Test: Electromagnetic Waves - 1 - Question 10

Assertion (A): The term is sometimes referred to the loss tangent.
Reason (R): The two vectors Jc (conduction current density) and Jd (displacement current density) are 180° out of phase and are in the opposite direction in space.

Detailed Solution: Question 10


which indicates that the two vectors Jc and Jd are out of phase in time and are in the same direction in the space. Hence, reason is not a correct statement.

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