Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 58 - 60 of 80

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Question number: 58

» Quantum Mechanics » Elementary Theory of Scattering » Born Approximation

Appeared in Year: 2012

MCQ▾

Question

A free particle describe by a plane wave and moving in the positive z – direction undergoes scattering by a potential,

If is changed to , keeping R fixed, then the differential scattering cross- section, in the Born approximation, (June)

Choices

Choice (4) Response

a.

Increases to twice the original value

b.

Decreases to one fourth the original value

c.

Increases to four times the original value

d.

Decreases to half the original value

Question number: 59

» Quantum Mechanics » Timeindependent Perturbation Theory and Applications

Appeared in Year: 2012

MCQ▾

Question

The perturbation, acts on a particle of mass confined in an infinite square well potential

The first order correction to the ground – state energy of the particle is –

(December)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 60

» Quantum Mechanics » Wave-Function in Coordinate Representations

Appeared in Year: 2012

MCQ▾

Question

The energy in the ground state and first excited state of a particle of mass in a potential are and , respectively, (in units in which ). If the corresponding wave functions are related by , then the ground state eigen function is – (December)

Choices

Choice (4) Response

a.

b.

c.

d.

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