Mathematical Methods of Physics-Fourier and Laplace Transforms (CSIR Physical Sciences): Questions 1 - 3 of 3

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Question number: 1

» Mathematical Methods of Physics » Fourier and Laplace Transforms

Appeared in Year: 2013

MCQ▾

Question

The Fourier transform of the derivative of the Dirac δ function, namely δ(x) , is proportional to – (Dec -2013)

Choices

Choice (4) Response

a.

sink

b.

ik

c.

1

d.

0

Question number: 2

» Mathematical Methods of Physics » Fourier and Laplace Transforms

Appeared in Year: 2013

MCQ▾

Question

The inverse Laplace transform of 1s2(s+1) is – (June)

Choices

Choice (4) Response

a.

12t2(1et)

b.

12t2+1et

c.

12t2et

d.

t1+et

Question number: 3

» Mathematical Methods of Physics » Fourier and Laplace Transforms

Appeared in Year: 2011

MCQ▾

Question

The graph of the function f(x)={1,for2nx2n+10,for2n+1x2n+2 (Where, n=0, 1,2 ) is shown below.

A graph of a periodic function

A Graph of a Periodic Function

In figure a graph of a periodic function is shown.

Its Laplace transform F¯(s) is – (December)

Choices

Choice (4) Response

a.

1ess

b.

1s(1es)

c.

1s(1+es)

d.

1ess

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