Quantum Mechanics-Spin-Statistics Connection (CSIR Physical Sciences): Questions 1 - 4 of 11

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Question number: 1

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2013

MCQ▾

Question

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

ψ=(1+i623)

The probability that a measurement of Sz will yield the value 2 and 2 are, respectively,

Choices

Choice (4) Response

a.

13and23

b.

14and34

c.

23and13

d.

12and12

Question number: 2

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2013

MCQ▾

Question

A spin 12 particle is in the state χ=111(1+i3) in the eigen basis S2 and Sz . If we measure Sz , the probabilities of getting +2 and 2 , respectively, are (December)

Choices

Choice (4) Response

a.

0 and 1

b.

211and911

c.

12and12

d.

111and311

Question number: 3

» 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 E=J[S1S2+S2S3+S3S1] , 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: 4

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2014

MCQ▾

Question

A collection N of non – interacting spins Si , i=1, 2,,N (Si=±1) is kept in an external magnetic field B at a temperature T. The Hamiltonian of the system is H=μBiSi . What should be the minimum value of μBkBT for which the mean value Si13 ? (December)

Choices

Choice (4) Response

a.

2ln2

b.

Nln2

c.

12Nln2

d.

12ln2

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