# Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 69 - 72 of 80

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## Passage

In a system consisting of two spin particles labeled 1 and 2, let and denote the corresponding spin operators. Here, and are the three Pauli matrices. (June)

## Question number: 69 (1 of 2 Based on Passage) Show Passage

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2011

MCQ▾

### Question

These two operators satisfy the relation,

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 70 (2 of 2 Based on Passage) Show Passage

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2011

MCQ▾

### Question

In the standard basis the matrices for the operators and respectively,

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 71

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

Appeared in Year: 2016

MCQ▾

### Question

If and are the components of the angular momentum operator in three dimensions, the commutator may be simplified to – (June)

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Choice (4) Response

a.

b.

0

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d.

## Question number: 72

» Quantum Mechanics » Schrodinger Equation » Time Dependent

Appeared in Year: 2016

MCQ▾

### Question

A particle of charge in one dimension is in a simple harmonic potential with angular frequency . It is subjected to a time – dependent electric field , where and are positive constants and . If in the distant past the particle was in its ground state, the probability that it will be in the first excited state as is proportional to: (December)

### Choices

Choice (4) Response

a.

b.

0

c.

d.

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