CSIR (Council of Scientific & Industrial Research) Physical Sciences: Questions 226 - 229 of 463

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Question number: 226

» Classical Mechanics » Conservation Laws and Cyclic Coordinates

Appeared in Year: 2013

MCQ▾

Question

A particle of mass m is at the stable equilibrium position of its potential energy, ; where are positive constants. The minimum velocity that has to be imparted to the particle to render its motion unstable is – (June)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 227

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2013

MCQ▾

Question

A spin particle A undergoes the decay,

where it is know that B and C are also spin particles. The complete set of allowed values of the spin of the particle D is – (June)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 228

» Atomic & Molecular Physics » Diatomic Molecules » Vibrational

Appeared in Year: 2013

MCQ▾

Question

The phonon dispersion for the following one – dimensional diatomic lattice with masses and (as shown in figure)

Diagram of phonon dispersion

Diagram of Phonon Dispersion

In figure the phonon dispersion for the following one – dimensional diatomic lattice with masses M1 and M2.

is given by,

where is the lattice parameter and K is the spring constant. The velocity of sound is – (June)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 229

» Quantum Mechanics » Time Dependent Perturbation Theory

Appeared in Year: 2014

MCQ▾

Question

The ground state eigenfunction for the potential , where is the delta function, is given by , where A and are constants. If a perturbation is applied, the first order correction to the energy of the ground state will be – (June – 2014)

Choices

Choice (4) Response

a.

b.

c.

d.

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