CSIR (Council of Scientific & Industrial Research) Physical Sciences: Questions 199 - 201 of 463

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Question number: 199

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

Appeared in Year: 2014

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation where Equation

b.

Equation , where Equation is real

c.

Equation where Equation

d.

Equation

Question number: 200

» Thermodynamic and Statistical Physics » Maxwell Relations

Appeared in Year: 2011

MCQ▾

Question

A system of N non – interacting spinEquation particles is placed in external magnetic field H. The behaviour of the entropy of the system as a function of energy is given by – (December)

Choices

Choice (4) Response

a.

Entropy as a function of Energy: Choice A

Entropy as a Function of Energy: Choice A

In figure the behaviour of the entropy of the system as function of energy is given.

b.

Entropy as a function of Energy: Choice B

Entropy as a Function of Energy: Choice B

In figure the behaviour of the entropy of the system as function of energy is given.

c.

Entropy as a function of Energy: Choice C

Entropy as a Function of Energy: Choice C

In figure the behaviour of the entropy of the system as function of energy is given.

d.

 Entropy as a function of Energy: Choice D

Entropy as a Function of Energy: Choice D

In figure the behaviour of the entropy of the system as function of energy is given.

Question number: 201

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

Appeared in Year: 2011

MCQ▾

Question

The value of the integral Equation , 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.

Equation

b.

Equation

c.

Equation

d.

Equation

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