GATE Physics: Questions 37 - 39 of 378

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Question number: 37

» Nuclear and Particle Physics » Nuclear Shell Model

Appeared in Year: 2015

MCQ▾

Question

In the nuclear shell model, the potential is modeled as, V(r)=12mω2r2λLS,λ>0 . The correct spin – parity and isospin assignments for the ground state of 13C is –

Choices

Choice (4) Response

a.

12;12

b.

32;12

c.

12+;12

d.

32+;12

Question number: 38

» Classical Mechanics » Mechanics of System of Particles

Appeared in Year: 2015

Short Answer Question▾

Write in Short

A particle of mass 0.01kg falls freely in the earth’s gravitational field with an initial

velocity v(0)=gravitationalfieldwithaninitialvelocity10ms . If air exerts a friction force of form, f=kv , then for k=0.05Nsm , the velocity (inms) at time t=0.2s is ________ (up to two decimal places). (Use g=10ms2 and e=2.72 )

Question number: 39

» Quantum Mechanics » Time-Independent Perturbation Theory

Appeared in Year: 2014

MCQ▾

Question

A particle is confined to a one dimensional potential box with the potential

V(x)={0,0<x<a,otherwise

If the particle is subjected to a perturbation, within the box, W=βx , where β is a small constant, the first order correction to the ground state energy is –

Choices

Choice (4) Response

a.

0

b.

αβ2

c.

αβ4

d.

αβ

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