# GATE (Graduate Aptitude Test in Engineering) Physics: Questions 505 - 510 of 659

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### Passage

Consider a radiation cavity of volume at temperature .

## Question 505 (2 of 2 Based on Passage)

Appeared in Year: 2006

### Question

MCQ▾

The average number of photons in equilibrium inside the cavity is proportional to,

### Choices

Choice (4)Response

a.

b.

c.

T

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 506 (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 507 (2 of 3 Based on Passage)

Appeared in Year: 2008

### Question

MCQ▾

Throughout , the wave – function –

### Choices

Choice (4)Response

a.

Is exponentially decaying

b.

Is zero

c.

Can be chosen to be real

d.

Is generally complex

## Question 508 (3 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

## Question 509

Appeared in Year: 2007

### Question

MCQ▾

According to the shell model the ground state spin of the nucleus is –

### Choices

Choice (4)Response

a.

b.

c.

d.

### Passage

An ensemble of quantum harmonic oscillators is kept at a finite temperature .

## Question 510 (1 of 2 Based on Passage)

Appeared in Year: 2007

### Question

MCQ▾

The average number of energy quanta of the oscillators is given by;

### Choices

Choice (4)Response

a.

b.

c.

d.

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