# GATE (Graduate Aptitude Test in Engineering) Physics: Questions 22 - 27 of 659

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## Question 22

Residue Theorem and Applications

Appeared in Year: 2014

### Question

MCQ▾

The value of the integral Where C is the circle , is –

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 23

Residue Theorem and Applications

Appeared in Year: 2015

### Question

MCQ▾

Consider a complex function . Which one of the following statements is correct?

### Choices

Choice (4)Response

a.

has a second order pole at

b.

has infinite number of second order poles

c.

has all simple poles

d.

has simple poles at and

## Question 24

Appeared in Year: 2014

### Question

MCQ▾

Consider a system of 3 fermions, which can occupy any of the 4 available energy states with equal probability. The entropy of the system is –

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 25

Appeared in Year: 2014

### Question

MCQ▾

A low pass filter is formed by a resistance R and a capacitance C. At the cut – off angular frequency , the voltage gain and the phase of the output voltage relative to the input voltage respectively, are –

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 26

Edit

Appeared in Year: 2014

### Write in Short

The minimum number of flip – flops required to construct a mod – 75 counter is ________.

## Question 27

Appeared in Year: 2015

### Question

MCQ▾

The entropy of a gas containing N particles enclosed in a volume V is given by,

Where, E is the total energy, is a constant and is the Boltzmann constant. The chemical potential of the system at a temperature T is given by,

### Choices

Choice (4)Response

a.

b.

c.

d.

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