# Thermodynamics and Statistical Physics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 23 - 27 of 82

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## Question 23

Appeared in Year: *2013*

### Question

MCQ▾Consider a gas of atoms obeying Maxwell – Boltzmann statistics. The average value of over all the momenta of each of the particles (where is a constant vector and is its magnitude, is the mass of each atom, T is temperature and is Boltzmann՚s constant) is –

### Choices

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

a. | ||

b. | One | |

c. | ||

d. | Zero |

## Question 24

Appeared in Year: *2013*

### Question

MCQ▾If Planck՚s constant were zero, then the total energy contained in a box filled with radiation of all frequencies at temperature would be –

( is Boltzmann constant and is nonzero)

### Choices

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

a. | Zero | |

b. | ||

c. | ||

d. | Infinite |

## Question 25

Appeared in Year: *2011*

### Question

MCQ▾In a first order phase transition, at the transition temperature, specific heat of the system,

### Choices

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

a. | Remains unchanged and its entropy has finite discontinuity | |

b. | Has finite discontinuity and its entropy diverges. | |

c. | Diverges and its entropy has finite discontinuity | |

d. | Diverges and its entropy remains the same |

### Passage

There are four energy levels (where ) . The canonical partition function of two particles is, if these particles are:

## Question 26 (1 of 2 Based on Passage)

Appeared in Year: *2013*

### Question

MCQ▾Two distinguishable particles –

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 27 (2 of 2 Based on Passage)

Appeared in Year: *2013*

### Question

MCQ▾Two identical fermions –

### Choices

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

a. | ||

b. | ||

c. | ||

d. |