Mathematical Physics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 15 - 20 of 76

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Question 15

Mathematical Physics
Orthogonality and Completeness

Appeared in Year: 2012

Question

MCQ▾

Identify the correct statement for the vectors and

Choices

Choice (4)Response

a.

The vectors and are normalized

b.

The vectors and are orthogonal

c.

The vectors and are linearly independent

d.

The vectors and linearly dependent

Question 16

Mathematical Physics
Residue Theorem and Applications

Appeared in Year: 2012

Question

MCQ▾

The value of the integral , using the contour of circle with unit radius is –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 17

Mathematical Physics
Cauchy-Riemann Conditions

Appeared in Year: 2012

Question

MCQ▾

The number of independent component of the symmetric with indices is –

Choices

Choice (4)Response

a.

9

b.

1

c.

3

d.

6

Question 18

Mathematical Physics
Residue Theorem and Applications

Appeared in Year: 2013

Write in Short

For the function , the residue at the pole is (your answer should be an integer) ________.

Question 19

Mathematical Physics

Appeared in Year: 2013

Question

MCQ▾

Which of the following pairs of the given function and its Laplace transform is NOT CORRECT?

Choices

Choice (4)Response

a.

b.

c.

(Singularity at + 0)

d.

Question 20

Mathematical Physics

Appeared in Year: 2011

Question

MCQ▾

A matrix has elements such that its trace is and its determinant is . The eigenvalues of the matrix are all known to be positive integers. The largest eigenvalue of the matrix is –

Choices

Choice (4)Response

a.

9

b.

12

c.

18

d.

6

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