Test: Phase & Group Velocity


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12 Questions MCQ Test Electromagnetic Fields Theory (EMFT) | Test: Phase & Group Velocity

Test: Phase & Group Velocity for Electrical Engineering (EE) 2023 is part of Electromagnetic Fields Theory (EMFT) preparation. The Test: Phase & Group Velocity questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Phase & Group Velocity MCQs are made for Electrical Engineering (EE) 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Phase & Group Velocity below.
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Test: Phase & Group Velocity - Question 1

In a waveguide, which of the following condition is true always?

Detailed Solution for Test: Phase & Group Velocity - Question 1

Answer: c
Explanation: The phase velocity is always greater than the speed of light in waveguides. This implies the group velocity is small.

Test: Phase & Group Velocity - Question 2

The term cos θ is given by 2.5. Find the phase velocity.

Detailed Solution for Test: Phase & Group Velocity - Question 2

Answer: c
Explanation: The phase velocity is given by Vp = c cos θ. On substituting for cos θ = 2.5 and the speed of light, we get the phase velocity as 7.5 x 108 m/s.

Test: Phase & Group Velocity - Question 3

The cut off wavelength and the guided wavelength are given by 0.5 and 2 units respectively. Find the wavelength of the wave.

Detailed Solution for Test: Phase & Group Velocity - Question 3

Answer: a
Explanation: The cut off wavelength and the guided wavelength are related as (1/λ)2 = (1/λc)2 + (1/λg)2. On substituting for λc = 0.5 and λg = 2, we get λ = 0.48 units.

Test: Phase & Group Velocity - Question 4

The cut off wavelength of the rectangular waveguide in dominant mode with dimensions 6 cm x 4 cm is

Detailed Solution for Test: Phase & Group Velocity - Question 4

Answer: a
Explanation: The cut off wavelength in the dominant mode is given by λc = 2a/m, where a is the broad wall dimension. On substituting for m = 1 and a = 6cm, we get the cut off wavelength as 12cm.

Test: Phase & Group Velocity - Question 5

The product of the phase and the group velocities is given by the

Detailed Solution for Test: Phase & Group Velocity - Question 5

Answer: d
Explanation: The product of the phase and the group velocities is given by the square of the speed of the light. Thus Vp x Vg = c2 is the relation.

Test: Phase & Group Velocity - Question 6

The phase velocity of a wave having a group velocity of 6 x 106 is (in order of 108 m/s)

Detailed Solution for Test: Phase & Group Velocity - Question 6

Answer: d
Explanation: We know that the phase and the group velocities are given by Vp x Vg = c2. On substituting for Vg = 6 x 106 and the speed of light, we get Vp = 150 x 108 m/s.

Test: Phase & Group Velocity - Question 7

The group velocity of a wave with a phase velocity of 60 x 109 is (in 106 order) 

Detailed Solution for Test: Phase & Group Velocity - Question 7

Answer: a
Explanation: We know that the phase and the group velocities are given by Vp x Vg = c2. On substituting for Vp = 60 x 109 and the speed of light, we get Vg = 1.5 x 106 m/s.

Test: Phase & Group Velocity - Question 8

The phase velocity of a wave having a phase constant of 4 units and a frequency of 2.5 x 109 radian/sec is (in 108 order)

Detailed Solution for Test: Phase & Group Velocity - Question 8

Answer: c
Explanation: The phase velocity and the phase constant are related by Vp = ω/βg. On substituting for ω = 2.5 x 109 and β = 4, we get the phase velocity as 6.25 units.

Test: Phase & Group Velocity - Question 9

The guided wavelength and the phase constant are related by

Detailed Solution for Test: Phase & Group Velocity - Question 9

Answer: a
Explanation: The guided wavelength and the phase constant are related by 2π/βg = λg, where βg is the guided phase constant and λg is the guided wavelength.

Test: Phase & Group Velocity - Question 10

The phase velocity refers to a group of waves and the group velocity refers to a single wave. State true/false.

Detailed Solution for Test: Phase & Group Velocity - Question 10

Answer: b
Explanation: The phase velocity refers to a single wave and the group velocity refers to a group of waves.

Test: Phase & Group Velocity - Question 11

The phase and group velocities does not depend on which of the following?

Detailed Solution for Test: Phase & Group Velocity - Question 11

Answer: d
Explanation: The phase and the group velocities are directly related by the frequency, wavelength and the phase constant. It is independent of the attenuation constant.

Test: Phase & Group Velocity - Question 12

The distance between two successive points in a waveguide is the

Detailed Solution for Test: Phase & Group Velocity - Question 12

Answer: c
Explanation: The distance between two successive points in a waveguide is equal to half of the guided wavelength.

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