Mathematical Physics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 6 - 9 of 71

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Question number: 6

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

Appeared in Year: 2014

MCQ▾

Question

The matrixEquation is –

Choices

Choice (4) Response

a.

Symmetric

b.

Anti – symmetric

c.

Unitary

d.

Orthogonal

Question number: 7

» Mathematical Physics » Linear Differential Equations

Appeared in Year: 2015

MCQ▾

Question

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

P: Equation and Equation are linearly independent solution for all values of Equation

Q: Equation and Equation are linearly independent solution for all values of Equation

R: Equation and 1 are linearly independent solution for Equation

S: Equation and Equation are linearly independent solution for all values of Equation

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

Short Answer Question▾

Write in Short

If the vector potential

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

Question number: 9

» Mathematical Physics » Fourier Analysis

Appeared in Year: 2015

MCQ▾

Question

The Heaviside function is defined as,

Equation

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

0

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