# Thermodynamics and Statistical Physics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 63 - 68 of 82

Access detailed explanations (illustrated with images and videos) to 659 questions. Access all new questions- tracking exam pattern and syllabus. View the complete topic-wise distribution of questions. Unlimited Access, Unlimited Time, on Unlimited Devices!

View Sample Explanation or View Features.

Rs. 450.00 -OR-

## Question 63

Thermodynamics and Statistical Physics

Appeared in Year: 2008

### Question

MCQ▾

Consider a system of non – interacting classical particles which can occupy any of the three energy levels with energy values and having degeneracies and respectively. The mean energy of the system is –

### Choices

Choice (4)Response

a.

b.

c.

d.

### Passage

Consider a radiation cavity of volume at temperature .

## Question 64 (1 of 2 Based on Passage)

Thermodynamics and Statistical Physics

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.

## Question 65 (2 of 2 Based on Passage)

Thermodynamics and Statistical Physics

Appeared in Year: 2006

### Question

MCQ▾

The density of states at energy of the quantized radiation (photons) is –

### Choices

Choice (4)Response

a.

b.

c.

d.

### Passage

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

## Question 66 (1 of 2 Based on Passage)

Thermodynamics and Statistical Physics

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.

## Question 67 (2 of 2 Based on Passage)

Thermodynamics and Statistical Physics

Appeared in Year: 2007

### Question

MCQ▾

The partition function of a single oscillator with energy levels is given by –

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 68

Thermodynamics and Statistical Physics

Appeared in Year: 2008

### Question

MCQ▾

Thermodynamic variables of a system can be volume , pressure , temperature , number of particle , internal energy and chemical potential etc. For a system to be specified by Micro canonical , Canonical and Grand Canonical ensembles, the parameters required for the respective ensembles are –

### Choices

Choice (4)Response

a.

b.

c.

d.

Developed by: