# Thermodynamics and Statistical Physics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 5 - 9 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-

How to register? Already Subscribed?

## Question 5

Appeared in Year: *2014*

### Question

MCQ▾For a system of two bosons, each of which can occupy any of the two energy levels 0 and , the mean energy of the system at a temperature with is given by,

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 6

Appeared in Year: *2014*

### Question

MCQ▾Consider a system of 3 fermions, which can occupy any of the 4 available energy states with equal probability. The entropy of the system is –

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 7

Appeared in Year: *2015*

### Question

MCQ▾The entropy of a gas containing N particles enclosed in a volume V is given by,

Where, E is the total energy, is a constant and is the Boltzmann constant. The chemical potential of the system at a temperature T is given by,

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 8

Appeared in Year: *2014*

### Question

MCQ▾For a gas under isothermal conditions, its pressure P varies with volume V and . The bulk module B is proportional to –

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 9

Appeared in Year: *2016*

### Write in Short

Short Answer▾N atoms of an ideal gas are enclosed in a container of volume . The volume of the container is changed to , while keeping the total energy constant. The change in the entropy of the gas, in units of , is ________, where is the Boltzmann constant.