CSIR Physical Sciences: Questions 148 - 151 of 389

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Question number: 148

» Electromagnetic Theory » Dipoles and Retarded Potentials

Appeared in Year: 2011

MCQ▾

Question

The potential of a diatomic molecule as a function of the distance r between the atoms is given by V(r)=ar6+br12 . The value of the potential at equilibrium separation between the atoms is: (December)

Choices

Choice (4) Response

a.

2a2b

b.

a24b

c.

4a2b

d.

a22b

Question number: 149

» Mathematical Methods of Physics » Taylor & Laurent Series

Appeared in Year: 2014

MCQ▾

Question

The Laurent series expansion of the function f(z)=ez+e1z about z=0 is given by, (December)

Choices

Choice (4) Response

a.

n=znn!onlyif z <1

b.

n=0(zn+1zn)1n!forall0< z <

c.

n=znn!forall z <

d.

n=0(zn+1zn)1n!onlyif0< z <1

Question number: 150

» Classical Mechanics » Special Theory of Relativity » Relativistic Kinematics

Appeared in Year: 2011

MCQ▾

Question

The acceleration due to gravity (g) on the surface of Earth is approximately 2.6 times that on the surface of Mars. Given that the radius of Mars is about one half the radius of Earth, the ratio of the escape velocity on Earth to that on Mars is approximately. - (June)

Choices

Choice (4) Response

a.

2.3

b.

1.3

c.

1.1

d.

5.2

Question number: 151

» Classical Mechanics » Hamilton-Jacobi Theory

Appeared in Year: 2014

MCQ▾

Question

A mechanical system is described by the Hamiltonian H(q,p)=p22m+12mω2q2 . As a result of the canonical transformation generated by F(q,Q)=Qq , the Hamiltonian in the new coordinate Q and momentum P becomes – (December)

Choices

Choice (4) Response

a.

12mQ2p2+mω22Q2

b.

12mp2+mω22Q2

c.

12mQ2p4+mω22p2

d.

12mQ2P2+mω22p2

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