Quantum Mechanics (CSIR Physical Sciences): Questions 51 - 53 of 70

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Question number: 51

» Quantum Mechanics » Elementary Theory of Scattering » Born Approximation

Appeared in Year: 2014

MCQ▾

Question

The scattering amplitude f(θ) for the potential V(r)=βeμr ; where β and μ are positive constants, is given, in the Born approximation, by (in the following b=2ksinθ2 and E=2k22m ) – (June – 2014)

Choices

Choice (4) Response

a.

4mβμ2b2(b2+μ2)

b.

4mβμ2(b2+μ2)2

c.

4mβμ2b2+μ2

d.

4mβμ2(b2+μ2)3

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 ε0 , 3ε0 and 5ε0,(ε0>0) . One system is populated by spin 12 fermions and the other by bosons. What is the value of EFEB , where EF and EB are the ground state energies of the fermionic and bosonic system respectively? (June)

Choices

Choice (4) Response

a.

2ε0

b.

6ε0

c.

4ε0

d.

ε0

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