# Mathematical Methods of Physics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 12 - 16 of 77

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## Question number: 12

» Mathematical Methods of Physics » Matrices

Appeared in Year: 2012

MCQ▾

### Question

A matrix A has eigenvalues and. The smallest value of such that is – (December)

### Choices

Choice (4) Response

a.

20

b.

60

c.

30

d.

120

## Question number: 13

» Mathematical Methods of Physics » Vector Algebra and Vector Calculus

Appeared in Year: 2014

MCQ▾

### Question

Let denote the position vector of any point in three dimensional space and . Then, (December)

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 14

» Mathematical Methods of Physics » Green's Function

Appeared in Year: 2014

MCQ▾

### Question

If and C is the circle of unit radius in the plane defined by, with the centre on the z – axis, then the value of integral

is – (June)

### Choices

Choice (4) Response

a.

b.

s

c.

0

d.

π

## Question number: 15

» Mathematical Methods of Physics » Elementary Probability Theory

Appeared in Year: 2012

MCQ▾

### Question

In a series of five Cricket matches, one of the captains call ‘Heads’ every time when the toss is taken. The probability that he will win 3 times and loss 2 times is – (December)

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 16

» Mathematical Methods of Physics » Poles, Residues & Evaluation of Integrals

Appeared in Year: 2014

MCQ▾

### Question

A time – dependent current (where K is a constant) is switched on at in an infinite current – carrying wire. The magnetic vector potential is at a perpendicular distance ‘a’ from the wire. The magnetic vector potential at a perpendicular distance a from the wire is given by – (June)

### Choices

Choice (4) Response

a.

b.

c.

d.

f Page