Quantum Mechanics [CSIR (Council of Scientific & Industrial Research) Physical Sciences]: Questions 54 - 58 of 116

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Question 54

Appeared in Year: 2013

Question MCQ▾

The bound on the ground state energy of the Hamiltonian with an attractive delta – function potential, namely

Using the variational principle with the trial wavefunction is – (June)

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 55

Appeared in Year: 2013

Question MCQ▾

If denotes the eigenfunction of the Hamiltonian with a potential , then the expectation value of the operator and in the state is – (June – 2013)

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 56

Appeared in Year: 2013

Question MCQ▾

The expectation value of the x – component of the orbital angular momentum in the state,

(Where are the eigenfunction in usual notation) , is – (December -2013)

Choices

Choice (4)Response

a.

b.

c.

d.

0

Edit

Question 57

Appeared in Year: 2012

Question MCQ▾

What would be the ground state energy of the Hamiltonian – If variational principle is used to estimate it with the trial wavefunction with b, as the variational parameter?

(December)

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 58

Appeared in Year: 2012

Question MCQ▾

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.

Decreases to half the original value

b.

Decreases to one fourth the original value

c.

Increases to four times the original value

d.

Increases to twice the original value

Edit