CSIR (Council of Scientific & Industrial Research) Physical Sciences: Questions 93 - 96 of 463

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Question number: 93

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

Appeared in Year: 2012

MCQ▾

Question

Given the usual canonical commutation relation, the commutator Equation of Equation and Equation is - (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 94

» Mathematical Methods of Physics » Linear Ordinary Differential Equations of First & Second Order

Appeared in Year: 2014

MCQ▾

Question

Consider the differential equation

Equation

With the initial conditions Equation andEquation . The solution Equation attains its maximum value when Equation is – (June)

Choices

Choice (4) Response

a.

Equation

b.

2

c.

1

d.

Question number: 95

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

Appeared in Year: 2014

MCQ▾

Question

Let Equation and Equation denote, respectively, the coordinate and momentum operators satisfying the canonical commutation relation Equation in natural unitsEquation . Then the commutator Equation is – (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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,

Equation

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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