# GATE (Graduate Aptitude Test in Engineering) Physics: Questions 21 - 25 of 659

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## Question number: 21

Appeared in Year: 2014

### Write in Short

If the half – life of an elementary particle moving with speed in the laboratory frame is , then the proper half – life is ________.

## Question number: 22

» Mathematical Physics » Elements of Complex Analysis » Residue Theorem and Applications

Appeared in Year: 2014

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 23

» Mathematical Physics » Elements of Complex Analysis » Residue Theorem and Applications

Appeared in Year: 2015

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

has infinite number of second order poles

b.

has a second order pole at

c.

has all simple poles

d.

has simple poles at and

## Question number: 24

Appeared in Year: 2014

MCQ▾

### Question

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 number: 25

Appeared in Year: 2014

MCQ▾

### Question

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.

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