# Electromagnetics [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 53 - 57 of 96

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## Question 53

Electromagnetics
Equations

### Question

MCQ▾

The field in a rectangular waveguide of inner dimensions is given by

Where is a constant, a and b are the dimensions along the and the respectively. The mode of propagation in the waveguide is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 54

Electromagnetics
Equations

### Question

MCQ▾

The phase velocity of an electrometric wave propagating in a hollow metallic rectangular waveguide in the mode is

### Choices

Choice (4)Response

a.

Equal to its group velocity

b.

Less than velocity of light in free space

c.

Equal to the velocity of light in free space

d.

Greater than the velocity of light in free space

## Question 55

Electromagnetics
Equations

### Question

MCQ▾

The longitudinal component of the magnetic field inside an air filled rectangular waveguide made of a perfect electric conductor is given by the following expression

The cross – sectional dimensions of the waveguide are given as and . The mode of propagation inside the waveguide is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 56

Electromagnetics
Equations

### Question

MCQ▾

The phase velocity for the mode in an air filled rectangular waveguide is

### Choices

Choice (4)Response

a.

Less than c

b.

Equal to c

c.

Greater than c

d.

None of the above

## Question 57

Electromagnetics
Equations

### Question

MCQ▾

Indicate which one of the following modes do NOT exist in a rectangular resonant cavity

### Choices

Choice (4)Response

a.

b.

c.

d.

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