CSIR Physical Sciences: Questions 95 - 97 of 389

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Question number: 95

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

Appeared in Year: 2014

MCQ▾

Question

Let x and p denote, respectively, the coordinate and momentum operators satisfying the canonical commutation relation [x,p]=i in natural units (=1) . Then the commutator [x,pep] is – (December)

Choices

Choice (4) Response

a.

ipep

b.

i(1p)ep

c.

i(1ep)

d.

i(1p2)ep

Question number: 96

» Quantum Mechanics » Variational Method

Appeared in Year: 2012

MCQ▾

Question

The wave function of a state of the hydrogen atom is given by,

ψ=ψ200+2ψ211+3ψ210+2ψ211

Where, ψnlm is the normalized eigen function of the state with quantum numbers n, l and m in the usual notation. The expectation value of Lz is the state ψ is – (December)

Choices

Choice (4) Response

a.

1116

b.

38

c.

8

d.

1516

Question number: 97

» Classical Mechanics » Periodic Motion » Small Oscillations

Appeared in Year: 2012

MCQ▾

Question

The bob of a simple pendulum, which undergoes small oscillations, is immersed in water. Which of the following figures best represents the phase space diagram for the pendulum? (June)

Choices

Choice (4) Response

a.

 The phase space diagram: Choice A

the Phase Space Diagram: Choice A

In figure a phase space diagram for a pendulum which is immersed in water is shown.

b.

The phase space diagram: Choice B

The Phase Space Diagram: Choice B

In figure a phase space diagram for a pendulum which is immersed in water is shown.

c.

The phase space diagram: Choice C

The Phase Space Diagram: Choice C

In figure a phase space diagram for a pendulum which is immersed in water is shown.

d.

The phase space diagram: Choice D

The Phase Space Diagram: Choice D

In figure a phase space diagram for a pendulum which is immersed in water is shown.

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