# Mathematical Physics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 32 - 37 of 76

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## Question 32

Mathematical Physics

Appeared in Year: 2011

### Question

MCQ▾

Two matrices A and B are said to be similar if for some invertible matrix . Which of the following statement is not true?

### Choices

Choice (4)Response

a.

b.

and have the same eigenvectors

c.

and have the same eigenvalues

d.

## Question 33

Mathematical Physics

Appeared in Year: 2013

### Question

MCQ▾

is a symmetric periodic function of i.e.. . Then, in general, the Fourier series of the function will be of the form,

### Choices

Choice (4)Response

a.

b.

c.

d.

### Passage

Consider a function of a complex variable .

## Question 34 (1 of 2 Based on Passage)

Mathematical Physics
Residue Theorem and Applications

Appeared in Year: 2011

### Question

MCQ▾

Which of the following statements is true for function ?

### Choices

Choice (4)Response

a.

has a zero at

b.

has a pole of order 2 at

c.

is analytic everywhere in the complex plane

d.

has a simple pole at

## Question 35 (2 of 2 Based on Passage)

Mathematical Physics
Residue Theorem and Applications

Appeared in Year: 2011

### Question

MCQ▾

Consider a counterclockwise circular contour about the origin. The integral over this contour is –

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 36

Mathematical Physics

Appeared in Year: 2010

### Question

MCQ▾

The eigenvalues of matrix are –

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 37

Mathematical Physics
Singularities

Appeared in Year: 2010

### Question

MCQ▾

The value of the integral , where the contour is the unit circle | |= 1 is –

### Choices

Choice (4)Response

a.

b.

c.

0

d.

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