Test: Phase & Group Velocity - Electrical Engineering (EE) MCQ

# Test: Phase & Group Velocity - Electrical Engineering (EE) MCQ

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

Test: Phase & Group Velocity for Electrical Engineering (EE) 2024 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) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Phase & Group Velocity below.
Solutions of Test: Phase & Group Velocity questions in English are available as part of our Electromagnetic Fields Theory (EMFT) for Electrical Engineering (EE) & Test: Phase & Group Velocity solutions in Hindi for Electromagnetic Fields Theory (EMFT) course. Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free. Attempt Test: Phase & Group Velocity | 12 questions in 10 minutes | Mock test for Electrical Engineering (EE) preparation | Free important questions MCQ to study Electromagnetic Fields Theory (EMFT) for Electrical Engineering (EE) Exam | Download free PDF with solutions
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

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

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.

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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

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

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

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

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

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

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

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

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

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

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

## Electromagnetic Fields Theory (EMFT)

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## Electromagnetic Fields Theory (EMFT)

11 videos|45 docs|73 tests