Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 18 - 21 of 71

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Question number: 18

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2012

MCQ▾

Question

Consider a system of three spins S1, S2 and S3 each of which can take values + 1 and –1. The energy of the system is given by Equation , where J is a positive constant. The minimum energy and the corresponding number of spin configurations are, respectively – (December)

Choices

Choice (4) Response

a.

–3J and 2

b.

– 3J and 1

c.

J and 1

d.

– 6J and 2

Question number: 19

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

Appeared in Year: 2012

MCQ▾

Question

The commutator Equation is – (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 20

» Quantum Mechanics » Timeindependent Perturbation Theory and Applications

Appeared in Year: 2013

MCQ▾

Question

The motion of a particle of mass m in one dimension is described by the Hamiltonian Equation . What is the difference between the (quantized) energy of the first two levels? (In the following, Equation is the expectation value of Equation in the ground state. )

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 21

» Quantum Mechanics » Stern-Gerlach Experiment

Appeared in Year: 2012

MCQ▾

Question

The component along an arbitrary direction Equation , with direction cosines Equation , of the spin of spin Equation particle is measured. The result is – (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

0

d.

Equation

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