Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 50 - 53 of 80

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 463 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 300.00 or

Question number: 50

» Quantum Mechanics » Timeindependent Perturbation Theory and Applications

Appeared in Year: 2013

MCQ▾

Question

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.

Question number: 51

» Quantum Mechanics » Elementary Theory of Scattering » Born Approximation

Appeared in Year: 2014

MCQ▾

Question

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.

Question number: 52

» Quantum Mechanics » Elementary Theory of Scattering » Born Approximation

Appeared in Year: 2014

MCQ▾

Question

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.

0.90

c.

0.60

d.

0.16

Question number: 53

» Quantum Mechanics » Pauli Exclusion Principle

Appeared in Year: 2013

MCQ▾

Question

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.

f Page
Sign In