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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