# Quantum Mechanics-Spin-Statistics Connection (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1 - 4 of 13

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## Question number: 1

» Quantum Mechanics » Spin-Statistics Connection

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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.

## Question number: 2

» Quantum Mechanics » Spin-Statistics Connection

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Appeared in Year: 2013

MCQ▾

### Question

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

### Choices

Choice (4)Response

a.

0 and 1

b.

c.

d.

## Question number: 3

» Quantum Mechanics » Spin-Statistics Connection

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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 , 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 1

b.

– 6J and 2

c.

J and 1

d.

–3J and 2

## Question number: 4

» Quantum Mechanics » Spin-Statistics Connection

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Appeared in Year: 2014

MCQ▾

### Question

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

### Choices

Choice (4)Response

a.

b.

c.

d.

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