# Quantum Mechanics-Wave-Function in Coordinate Representations (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1 - 4 of 6

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## Question number: 1

» Quantum Mechanics » Wave-Function in Coordinate Representations

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Appeared in Year: 2012

MCQ▾

### Question

If a particle is represented by the normalized wave function,

The uncertainty in its momentum is – (December)

### Choices

Choice (4)Response

a.

5h2a

b.

c.

d.

## Question number: 2

» Quantum Mechanics » Wave-Function in Coordinate Representations

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Appeared in Year: 2014

MCQ▾

### Question

Consider a system of two non – interacting identical fermions, each of mass m in an infinite square well potential of width a. (Take the potential inside the well to be zero and ignore spin. ) The composite wavefunction for the system with total energy is – (June)

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 3

» Quantum Mechanics » Wave-Function in Coordinate Representations

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Appeared in Year: 2011

MCQ▾

### Question

The wavefunction of a particle is given is given by , where and are the normalized eigenfunctions with energies and corresponding to the ground state and first excited state, respectively. The expectation value of the Hamiltonian in state is –

(June)

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 4

» Quantum Mechanics » Wave-Function in Coordinate Representations

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Appeared in Year: 2014

MCQ▾

### Question

Let (where and are constants with ) be a linear combination of the wavefunction of the ground and first excited states of the one – dimensional harmonic oscillator. For what value of is the expectation value a maximum? (December)

### Choices

Choice (4)Response

a.

b.

c.

d.

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