CSIR Physical Sciences: Questions 15 - 17 of 389

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 389 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 250.00 or

Question number: 15

» Classical Mechanics » Periodic Motion » Normal Modes

Appeared in Year: 2013

MCQ▾

Question

A particle of charge e and mass m is located at the midpoint of the line joining two fixed collinear dipoles with unit charges as shown in figure. (The particle is constrained to move only along the line joining the dipoles. ) Assuming that the length of the dipoles is much shorter than their separation, the natural frequency of oscillation of the particle is – (June)

A system consists of a charged particle and two dipoles.

A System Consists of a Charged Particle and Two Dipoles.

In figure a particle of charge e and mass m is located at the midpoint of the line joining two fixed collinear dipoles with unit charges. The separation of dipoles is 2d and a charged particle placed at distance R from dipoles.

Choices

Choice (4) Response
a.

6e2d2πε0mR4

b.

6e2Rπε0md4

c.

6e2dπε0mR4

d.

6e2R2πε0md5

Question number: 16

» 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: 17

» Quantum Mechanics » Eigenvalue Problems

Appeared in Year: 2013

MCQ▾

Question

The un – normalized wave function of a particle in a spherically symmetric potential is given by,

ψ(r)=zf(r)

Where, f(r) is a function of the radial variable r. The eigenvalue of the operator L2 (namely the square of the orbital angular momentum) is – (June)

Choices

Choice (4) Response
a.

2

b.

4

c.

2

d.

22

Sign In