# Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1 - 4 of 81

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## Question number: 1

» Quantum Mechanics » Dirac Notation for State Vectors

Appeared in Year: 2013

MCQ▾

### Question

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

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

### Choices

Choice (4) Response

a.

b.

c.

d.

## 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,

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

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 3

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

Appeared in Year: 2013

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 4

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2013

MCQ▾

### Question

In a basis in which the z – component of the spin is diagonal, an electron is in a spin state,

The probability that a measurement of will yield the value and are, respectively,

### Choices

Choice (4) Response

a.

b.

c.

d.