Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1 - 4 of 80

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 463 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 300.00 or

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.

f Page