Mathematical Physics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 17 - 22 of 76

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Question number: 17

» Mathematical Physics » Elements of Complex Analysis » Cauchy-Riemann Conditions

Appeared in Year: 2012

MCQ▾

Question

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

Choices

Choice (4) Response

a.

6

b.

3

c.

1

d.

9

Question number: 18

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

Appeared in Year: 2013

Short Answer Question▾

Write in Short

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

Question number: 19

» Mathematical Physics » Laplace Transforms

Appeared in Year: 2013

MCQ▾

Question

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 number: 20

» Mathematical Physics » Matrices

Appeared in Year: 2011

MCQ▾

Question

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.

12

b.

6

c.

18

d.

9

Question number: 21

» Mathematical Physics » Vector Calculus

Appeared in Year: 2011

MCQ▾

Question

The unit vector normal to the surface at the point is –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 22

» Mathematical Physics » Vector Calculus

Appeared in Year: 2013

MCQ▾

Question

If and are constant vectors, then is –

Choices

Choice (4) Response

a.

b.

c.

d.

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