Quantum Mechanics (CSIR Physical Sciences): Questions 43 - 46 of 71

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Question number: 43

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2013

MCQ▾

Question

A spin 12 particle A undergoes the decay, AB+C+D

where it is know that B and C are also spin 12 particles. The complete set of allowed values of the spin of the particle D is – (June)

Choices

Choice (4) Response

a.

12,1,32,2,52,3

b.

12only

c.

0, 1

d.

12,32,52,72

Question number: 44

» Quantum Mechanics » Time Dependent Perturbation Theory

Appeared in Year: 2014

MCQ▾

Question

The ground state eigenfunction for the potential V(x)=δ(x) , where δ(x) is the delta function, is given by ψ(x)=Aeα x , where A and α>0 are constants. If a perturbation H=bx2 is applied, the first order correction to the energy of the ground state will be – (June – 2014)

Choices

Choice (4) Response

a.

bα2

b.

2bα2

c.

b2α2

d.

b2α2

Question number: 45

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

Appeared in Year: 2013

MCQ▾

Question

If the operators A and B satisfy the commutation relation [A,B]=I , where I is identity operator, then – (June)

Choices

Choice (4) Response

a.

[eA,B]=eA

b.

[eA,B]=I

c.

[eA,B]=[eB,A]

d.

[eA,B]=[eB,A]

Question number: 46

» Quantum Mechanics » Variational Method

Appeared in Year: 2013

MCQ▾

Question

A particle is in the ground state of an infinite square well potential given by,

V(x)={ The probability to find the particle in the interval between a2 and a2 is – (Dec- 2013)

Choices

Choice (4) Response

a.

12

b.

121π

c.

12+1π

d.

1π

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