# Mathematical Physics (GATE Physics): Questions 15 - 19 of 71

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## Question number: 15

» Mathematical Physics » Linear Vector Space » Orthogonality and Completeness

Appeared in Year: 2012

MCQ▾

### Question

Identify the correct statement for the vectors and

### Choices

Choice (4) Response

a.

The vectors and linearly dependent

b.

The vectors and are orthogonal

c.

The vectors and are normalized

d.

The vectors and are linearly independent

## Question number: 16

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

Appeared in Year: 2012

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

d.

## 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.

f Page