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 Equation of the spin is diagonal, an electron is in a spin state,

Equation

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 2

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2013

MCQ▾

Question

A spin Equation particle is in the state Equation in the eigen basis Equation and Equation . If we measure Equation , the probabilities of getting Equation and Equation , respectively, are (December)

Choices

Choice (4) Response

a.

0 and 1

b.

Equation

c.

Equation

d.

Equation

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 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: 4

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2014

MCQ▾

Question

A collection N of non – interacting spins Equation , Equation Equation is kept in an external magnetic field B at a temperature T. The Hamiltonian of the system is Equation . What should be the minimum value of Equation for which the mean value Equation ? (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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