CSIR Physical Sciences: Questions 224 - 227 of 401

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Question number: 224

» Quantum Mechanics » Elementary Theory of Scattering » Born Approximation

Appeared in Year: 2013

MCQ▾

Question

In the Born approximation, the scattering amplitude f(θ) for the Yukawa potential, V(r)=βrμrr

Is given by, (in the following b=2ksinθ2,E=2k22m ) (June)

Choices

Choice (4) Response

a.

2mβ2(μ2+b2)2

b.

2mβ2(μ2+b2)

c.

2mβ2(μ2+b2)

d.

2mβ2(μ2+b2)3

Question number: 225

» Classical Mechanics » Dynamical System

Appeared in Year: 2014

MCQ▾

Question

A canonical transformation relates the old coordinates (q,p) to the new ones (Q,P) by the relations Q=q2 and P=p2q . The corresponding time – independent generating function is – (June – 2014)

Choices

Choice (4) Response

a.

Pq2

b.

q2P

c.

q2P

d.

qP2

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, V(x)=axbx3 ; where a,b 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.

(16a327m2b)14

b.

(3a364m2b)14

c.

(64a327m2b)14

d.

(64a39m2b)14

Question number: 227

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2013

MCQ▾

Question

A spin 12 particle A undergoes the decay, AB+C+D

where it is know that B and C are also spin 12 particles. The complete set of allowed values of the spin of the particle D is – (June)

Choices

Choice (4) Response

a.

12,1,32,2,52,3

b.

12only

c.

0, 1

d.

12,32,52,72

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