# Thermodynamics and Statistical Physics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 55 - 59 of 82

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## Question 55

Thermodynamics and Statistical Physics

Appeared in Year: 2007

### Question

MCQ▾

A heat pump working on the Carnot cycle maintains the inside temperature of a house at by supplying . If the outside temperature is , the heat taken, in , from the outside air is approximately –

### Choices

Choice (4)Response

a.

467

b.

470

c.

417

d.

487

### Passage

Consider a two dimensional electron gas of electrons of mass each in a system of size .

## Question 56 (1 of 2 Based on Passage)

Thermodynamics and Statistical Physics

Appeared in Year: 2008

### Question

MCQ▾

The density of states between energy and is –

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 57 (2 of 2 Based on Passage)

Thermodynamics and Statistical Physics

Appeared in Year: 2008

### Question

MCQ▾

The ground state energy of the system in term of the Fermi energy and the number of electrons is given by –

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 58

Thermodynamics and Statistical Physics

Appeared in Year: 2007

### Question

MCQ▾

A system has energy levels where the excited states are triply degenerate. Four non – interacting bosons are placed in this system. If the total energy of these bosons is , the number of microstates is –

### Choices

Choice (4)Response

a.

5

b.

4

c.

3

d.

2

## Question 59

Thermodynamics and Statistical Physics

Appeared in Year: 2008

### Question

MCQ▾

Consider a system of atoms of an ideal gas of type and volume . It is kept in diffusive contact with another system of atoms of another ideal gas of type at the same temperature and volume . Once the combined system reaches equilibrium,

### Choices

Choice (4)Response

a.

The entropy of mixing is non – zero when the atoms and are of the same type.

b.

The entropy of the final system is less that of sum of the initial entropies of the two gases.

c.

The total entropy of the final system is the same as the sum of the entropy of the individual system always

d.

The entropy of mixing is .

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