# Quantum Mechanics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 64 - 68 of 80

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## Question 64

Quantum Mechanics

Appeared in Year: 2008

### Question

MCQ▾

The following given a list of pairs containing; (i) a nucleus (ii) one of its properties. Find the pair which is inappropriate.

### Choices

Choice (4)Response

a.

(i) nucleus; (ii) Binding energy (approximately)

b.

(i) nucleus; (ii) stable nucleus

c.

(i) nucleus; (ii) nuclear spin

d.

(i) A spheroidal nucleus; (ii) an electric quadrupole moment

## Question 65

Appeared in Year: 2007

### Question

MCQ▾

The energy levels of a particle of mass in a potential of the form are given, in terms of quantum number ; by –

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 66

Appeared in Year: 2007

### Question

MCQ▾

Three operators and satisfy the commutation relations , and .

The set of all possible eigenvalues of the operator , in units of , is –

### Choices

Choice (4)Response

a.

b.

c.

d.

### Passage

A beam of identical particles of mass and energy is incident from left on a potential barrier of width (between ) and height as shown in the figure .

For , there is tunneling with a transmission coefficient . Let and denote the amplitudes for the incident, reflected and transmitted waves, respectively.

## Question 67 (1 of 3 Based on Passage)

Appeared in Year: 2008

### Question

MCQ▾

The ratio of the reflected to the incident amplitude is –

### Choices

Choice (4)Response

a.

in magnitude

b.

c.

d.

real negative number

## Question 68 (2 of 3 Based on Passage)

Appeared in Year: 2008

### Question

MCQ▾

Let the probability current associated with the incident wave be . Let be the reflection coefficient. Then –

### Choices

Choice (4)Response

a.

The probability current vanishes in the classically forbidden region

b.

For, , the probability current is

c.

For , the probability current is complex.

d.

The probability current is for

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