# Mathematical Physics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 7 - 10 of 76

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## Question number: 7

» Mathematical Physics » Linear Differential Equations

Appeared in Year: 2015

MCQ▾

### Question

A function satisfies the ordinary differential equation , where Consider the four statements P, Q, R, S as given below.

P: and are linearly independent solution for all values of

Q: and are linearly independent solution for all values of

R: and 1 are linearly independent solution for

S: and are linearly independent solution for all values of

The correct option for the combination of valid statements is –

### Choices

Choice (4) Response

a.

P, R and S

b.

Q and R

c.

P and R

d.

R and S

## Question number: 8

» Mathematical Physics » Vector Calculus

Appeared in Year: 2014

### Write in Short

If the vector potential

satisfies the Coulomb gauge, the value of the constant is ________.

## Question number: 9

» Mathematical Physics » Fourier Analysis

Appeared in Year: 2015

MCQ▾

### Question

The Heaviside function is defined as,

And its Fourier transform is given by . The Fourier transform of, is –

### Choices

Choice (4) Response

a.

b.

c.

d.

0

## Question number: 10

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

Appeared in Year: 2014

MCQ▾

### Question

The length element of an arc is given by, . The metric tensor is –

### Choices

Choice (4) Response

a.

b.

c.

d.

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