Quantum Mechanics (CSIR Physical Sciences): Questions 11 - 13 of 70

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Question number: 11

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

Appeared in Year: 2014

MCQ▾

Question

Given that p^r=i(r+1r); the uncertainty Δpr in the ground state ψ0(r)=1πa03era0 of the hydrogen atom is – (June)

Choices

Choice (4) Response

a.

2a0

b.

2a0

c.

a0

d.

2a0

Question number: 12

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2013

MCQ▾

Question

A spin 12 particle is in the state χ=111(1+i3) in the eigen basis S2 and Sz . If we measure Sz , the probabilities of getting +2 and 2 , respectively, are (December)

Choices

Choice (4) Response

a.

0 and 1

b.

211and911

c.

12and12

d.

111and311

Question number: 13

» Quantum Mechanics » Motion in Central Potential » Angular Momentum Algebra

Appeared in Year: 2014

MCQ▾

Question

Consider the normalized wavefunction ϕ=a1ψ11+a2ψ10+a3ψ11 ; where ψlm is a simultaneous normalized eigenfunction of the angular momentum operators L2 and Lz , with eigenvalue l(l+1)2 and m respectively. If ϕ is an eigenfunction of the operator Lx with eigenvalue , then - (December)

Choices

Choice (4) Response

a.

a1=a3=12,a2=12

b.

a1=a3=12,a2=12

c.

a1=a3=12,a2=12

d.

a1=a2=a3=13

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