Mathematical Methods of Physics (CSIR Physical Sciences): Questions 40 - 43 of 65

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Question number: 40

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

Appeared in Year: 2011

MCQ▾

Question

Consider a Maxwellian distribution of the velocity of the molecules of an ideal gas. Let Vmp and Vrms denote the most probable velocity and the root mean square velocity, respectively. The magnitude of radio VmpVrms is: (December)

Choices

Choice (4) Response
a.

23

b.

1

c.

32

d.

23

Question number: 41

» Mathematical Methods of Physics » Introductory Group Theory - SU(2) and O(3)

Appeared in Year: 2014

MCQ▾

Question

Let α and β be complex numbers. Which of the following sets of matrices forms a group under matrix multiplication? (December)

Choices

Choice (4) Response
a.

[1αβ1], where αβ1

b.

[αα*ββ*] , where αβ* is real

c.

[αββ*α*], where α 2+ β 2=1

d.

[αβ00]

Question number: 42

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

Appeared in Year: 2011

MCQ▾

Question

The value of the integral Cz2ezdz , where C is an open contour in the complex Z – plane as shown in the figure below is –

Open contour in the complex Z plane

Open Contour in the Complex Z Plane

In figure an open contour in the complex Z – plane is shown.

(June)

Choices

Choice (4) Response
a.

5ee

b.

5ee

c.

5e+e

d.

e5e

Question number: 43

» Mathematical Methods of Physics » Elements of Complex Analysis

Appeared in Year: 2014

MCQ▾

Question

The function Φ(x,y,z,t)=cos(zvt)+Re(sin(x+iy)) satisfies the equation (June)

Choices

Choice (4) Response
a.

1V22Φt2=(2x2+2y2+2z2)Φ

b.

(1V22t2+2z2)Φ=(2x2+2y2)Φ

c.

(1V22t22z2)Φ=(2x2+2y2)Φ

d.

(2z21V22t2)Φ=(2x2+2y2)Φ

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