# Mathematical Methods of Physics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 54 - 57 of 77

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## Question number: 54

» Mathematical Methods of Physics » Matrices

Appeared in Year: 2012

MCQ▾

### Question

The eigenvalues of anti-symmetric matrix, where, are the components of a unit vector, are – (June)

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 55

» Mathematical Methods of Physics » Analytic Functions

Appeared in Year: 2012

MCQ▾

### Question

A bag contains many balls, each with a number painted on it. There are exactly balls which have the number (namely one ball with 1, two balls with 2, and so on until N balls with N on them). An experiment consists of choosing a ball at random, nothing the number on it and returning it to the bag. If the experiment is repeated a large number of times, the average value of the number will tend to – (June)

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 56

» Mathematical Methods of Physics » Analytic Functions

Appeared in Year: 2011

MCQ▾

### Question

Which of the following is an analytic function of the complex variable in the domain ? (June)

### Choices

Choice (4) Response

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b.

c.

d.

## Question number: 57

» Mathematical Methods of Physics » Fourier and Laplace Transforms

Appeared in Year: 2011

MCQ▾

### Question

The graph of the function (Where, ) is shown below.

Its Laplace transform is – (December)

### Choices

Choice (4) Response

a.

b.

c.

d.

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