Quantum Mechanics [CSIR (Council of Scientific & Industrial Research) Physical Sciences]: Questions 49 - 53 of 116

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Question 49

Appeared in Year: 2013

Question MCQ▾

A particle is prepared in a simultaneous eigenstate of and . If and are respectively the eigenvalues of and , then the expectation value of the particle in this state satisfies – (December -2013)

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 50

Appeared in Year: 2013

Question MCQ▾

Consider a two – dimensional infinite square well,

Its normalized eigenfunction are;

Where, If a perturbation is applied, then the correction to the energy of the first excited state to order is – (June – 2013)

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 51

Appeared in Year: 2014

Question MCQ▾

The scattering amplitude for the potential ; where and are positive constants, is given, in the Born approximation, by (in the following and ) – (June – 2014)

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 52

Appeared in Year: 2014

Question MCQ▾

An electron is in the ground state of a hydrogen atom. The probability that it is within the Bohr radius is approximately equal to – (June – 2014)

Choices

Choice (4)Response

a.

0.32

b.

0.60

c.

0.16

d.

0.90

Edit

Question 53

Appeared in Year: 2013

Question MCQ▾

Consider two different systems each with three identical non – interacting particles. Both have single particle states with energies , and . One system is populated by spin fermions and the other by bosons. What is the value of , where and are the ground state energies of the fermionic and bosonic system respectively? (June)

Choices

Choice (4)Response

a.

b.

c.

d.

Edit