# Quantum Mechanics-Spin-Statistics Connection (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 5 - 8 of 13

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## Question number: 5

» Quantum Mechanics » Spin-Statistics Connection

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Appeared in Year: 2011

MCQ▾

### Question

The Hamiltonian of an electron in a constant magnetic field is given by where is a positive constant and denotes the Pauli matrices. Let and be the unit matrix. Then the operator simplifies to – (June)

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 6

» Quantum Mechanics » Spin-Statistics Connection

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Appeared in Year: 2014

MCQ▾

### Question

The effective spin – spin interaction between the electron spin and the proton spin in the ground state of the Hydrogen atom is given by . As a result of this interaction the energy levels split by an amount – (December)

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 7

» Quantum Mechanics » Spin-Statistics Connection

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Appeared in Year: 2014

MCQ▾

### Question

Let, where are the Pauli matrices. If and are two arbitrary constant vectors in three dimensions, the commutator is equal to (in the following I is the identity matrix). (December)

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 8

» Quantum Mechanics » Spin-Statistics Connection

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Appeared in Year: 2013

MCQ▾

### Question

Consider three particles A, B and C each with an attribute S that can take two values Let and at a given instant. In the next instant, each S value can change to with probability . The probability that remains unchanged is – (June – 2013)

### Choices

Choice (4)Response

a.

b.

c.

d.

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