Mathematical Methods of Physics (CSIR Physical Sciences): Questions 5 - 9 of 65

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Question number: 5

» Mathematical Methods of Physics » Special Functions » Hermite

Appeared in Year: 2013

MCQ▾

Question

If A, B and C are non-zero Hermitian operators, which of the following relation must be false? (December)

Choices

Choice (4) Response
a.

[A,B]=C

b.

ABA=C

c.

AB+BA=C

d.

A+B=C

Question number: 6

» Mathematical Methods of Physics » Elements of Complex Analysis

Appeared in Year: 2013

MCQ▾

Question

Which of the following functions cannot be the real part of a complex analytic function of z=x+iy ? (December)

Choices

Choice (4) Response
a.

3x2yyy3

b.

x2y

c.

x33xy2

d.

x2y2

Question number: 7

» Mathematical Methods of Physics » Elementary Probability Theory

Appeared in Year: 2013

MCQ▾

Question

A loaded dice has the probabilities 121,221,321,421,521and621 of turning up 1, 2, 3, 4, 5, and 6 respectively. If it is thrown twice, what is the probability that the sum of the numbers that turn up in even? (December)

Choices

Choice (4) Response
a.

225441

b.

221441

c.

144441

d.

220441

Question number: 8

» Mathematical Methods of Physics » Binomial, Poisson and Normal Distributions

Appeared in Year: 2014

MCQ▾

Question

Given,

n=0Pn(x)tn=(12xt+t2)12

For t <1, the value of P5(1) is – (June)

Choices

Choice (4) Response
a.

1

b.

0.5

c.

0.26

d.

-1

Question number: 9

» Mathematical Methods of Physics » Analytic Functions

Appeared in Year: 2013

MCQ▾

Question

With z=x+iy, which of the following function f(x,y) is not a (complex) analytic function of z? (June)

Choices

Choice (4) Response
a.

f(x,y)=(x+iy8)3(4+x2y2+2ixy)7

b.

f(x,y)=(x+iy)7(1xiy)3

c.

f(x,y)=(x2y2+2ixy3)5

d.

f(x,y)=(1x+iy)4(2+x+iy)6

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