Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1 - 3 of 80

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Question number: 1

» Quantum Mechanics » Dirac Notation for State Vectors

Appeared in Year: 2013

MCQ▾

Question

Consider the normalized state Equation of a particle in a one – dimensional harmonic oscillator:

Equation

Where Equation and Equation denoted the ground and first excited states respectively, and b1 and b2 are real constants. The expectation value of the displacement Equation in the state Equation will be a minimum when – (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 2

» Quantum Mechanics » Eigenvalue Problems

Appeared in Year: 2013

MCQ▾

Question

The un – normalized wave function of a particle in a spherically symmetric potential is given by,

Equation

Where, Equation is a function of the radial variable r. The eigenvalue of the operator Equation (namely the square of the orbital angular momentum) is – (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 3

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

Appeared in Year: 2013

MCQ▾

Question

A particle moves in a potentialEquation . Which component (s) of the angular momentum is/are constant (s) of motion? (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Question does not provide sufficient data or is vague

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