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QUESTION: 1

Brewster angle is valid for which type of polarisation?

Solution:

Answer: b

Explanation: The parallel polarisation of the electromagnetic waves is possible only when the transmission occurs at the Brewster angle.

QUESTION: 2

The Brewster angle is expressed as

Solution:

Answer: c

Explanation: The tangent of the Brewster angle is the ratio of the refractive indices of the second medium to that of the first medium. It is given by tan θb= n2/n1. Thus the Brewster angle will be θb = tan^{-1}(n2/n1).

QUESTION: 3

The refractive index of a material with permittivity 16 is given by

Solution:

Answer: c

Explanation: The refractive index is the square root of the permittivity. Thus n = √ε. Given that ε = 16, we get refractive index as n = 4. It has no unit.

QUESTION: 4

The reflection coefficient in the wave propagation when it is transmitted with the Brewster angle is

Solution:

Answer: a

Explanation: Brewster angle propagation refers to complete transmission. The wave transmitted at the Brewster angle will be completely transmitted without reflection. Thus the reflection coefficient will be zero.

QUESTION: 5

The transmission coefficient of a wave propagating in the Brewster angle is

Solution:

Answer: b

Explanation: The transmission coefficient is the reverse of the reflection coefficient. At Brewster angle, the reflection will be zero. Thus the transmission is T = 1-R. Since R = 0, T = 1. It is to be noted that T and R lies in the range of 0 to 1.

QUESTION: 6

A circularly polarised wave transmitted at the Brewster angle will be received as linearly polarised wave. State True/False

Solution:

Answer: a

Explanation: The Brewster angle is said to be the polarisation angle. When a circularly polarised wave is incident at the Brewster angle, the resultant wave will be linearly polarised.

QUESTION: 7

An elliptically polarised wave transmitted at the Brewster angle will be received as an elliptically polarised wave. State True/False

Solution:

Answer: b

Explanation: Any polarised wave transmitted at the Brewster angle will be linearly polarised. It can be a parallel, perpendicular, circular or elliptical polarisation. The resultant wave is always linearly polarised. This is the reason why the Brewster angle is called polarisation angle.

QUESTION: 8

Find the Brewster angle of a wave transmitted from a medium of permittivity 4 to a medium of permittivity 2.

Solution:

Answer: a

Explanation: The Brewster angle is given by θb = tan^{-1}(n2/n1), where n = √ε. Thus we can express the formula in terms of permittivity as θb = tan^{-1}√ (ε 2/ε 1). Here ε1 = 4 and ε2 = 2. Thus we get θb = tan^{-1}√ (2/4) =

tan^{-1}(0.707) = 35.26 degree.

QUESTION: 9

Find the ratio of refractive index of medium 2 to that of medium 1, when the Brewster angle is 60 degree.

Solution:

Answer: d

Explanation: The tangent of the Brewster angle is the ratio of the medium 2 permittivity to the medium 1 permittivity. Thus tan θb = (n2/n1). Given that θb = 60 degree, the ratio n2/n1 will be tan 60 = 1.732.

QUESTION: 10

The Brewster angle is the angle of

Solution:

Answer: a

Explanation: The Brewster angle is the angle of incidence at which complete transmission of the electromagnetic wave occurs.

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