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QUESTION: 1

An electromagnetic wave is propagating in free space in the *z*-direction. If the electric field is given by where ωt = ck then the magnetic field is given by

Solution:

The correct answer is:

QUESTION: 2

The electric field for a plane electromagnetic wave traveling in the positive z-direction is represented by which one of the following?

Where, are the unit vectors along *x*, *z*-directions respectively.

Solution:

The wave travelling along *Z*-axis can be written as, displacement

+ sign along –ve *Z*-axis

– sign along +ve *Z*-axis

Since, the electric field is perpendicular to the different of the wave, i.e., perpendicular to *Z*-axis i.e., along *X*-axis or along *Y*-axis. Thus,

QUESTION: 3

In an electromagnetic wave, the direction of the magnetic induction is

Solution:

Electromagnetic waves are transverse in nature, i.e., both * E* and

The correct answer is: perpendicular to the electric field

QUESTION: 4

Imagine an electromagnetic wave in vacuum whose electric field (in SI units) is given by *E _{x}*(

What is the magnetic field associated with the wave?

Solution:

Electric field is given as

Applying Maxwell Equation

The correct answer is: *B _{x}*

QUESTION: 5

The direction of propagation of electromagnetic wave is given by

Solution:

QUESTION: 6

If a plane electromagnetic wave propagating in space has an electric field of amplitude **9 × 10 ^{3}**

Solution:

The *E* and *B* vector of a light is perpendicular to each other and perpendicular to motion of the wave. *E* and *B* are related as

*E* = *Bc*, *c* being light velocity.

The correct answer is: 3.0 × 10^{–5} *T*

QUESTION: 7

Two conducting plates of infinite extent, one plate at ** z = 0** and the other at

For this to represent a standing wave in the empty region between the plates

Solution:

For this to represent standing wave

*A*(*z* = 0) = 0 and *A*(*z* = *L*) = 0

The correct answer is:

QUESTION: 8

Which one of the following statements regarding the electric fields and is correct?

Solution:

We know that electrostatic forces are given as –ve of gradient of a potential i.e.,

(Since curl of grad is zero)

Thus, Equation. (i) implies that electrostatic fields are those, for curl *E*_{1}.

*E*_{1} is electrostatic field.

The correct answer is: Only can represent electrostatic field

QUESTION: 9

Consider the propagation of electromagnetic waves in a linear, homogeneous and isotropic material medium with electric permittivity ε, and magnetic permeability * µ*. Then for a plane wave of angular frequency ω and propagation vector propagating in the medium, Maxwell’s equations reduce to

Solution:

The correct answer is:

QUESTION: 10

An electromagnetic wave propagates through a non-magnetic medium which has two parameters. These are dielectric constant, ε and refractive index * n*. The relationship between them is

Solution:

If an electromagnetic wave is propagated through a non-conducting magnetic medium of dielectric constant ε and of refractive index * n* then they are related as refractive index

The correct answer is:

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