# Thermodynamic and Statistical Physics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 52 - 54 of 64

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## Question number: 52

» Thermodynamic and Statistical Physics » Diffusion Equation

Appeared in Year: 2011

MCQ▾

### Question

Consider two independently diffusing non-interacting in 3 – dimensional space, both placed at the origin at time . These particles have different diffusion constants and . The quantity where and are the positions of the particles at time , behaves as – (June)

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 53

» Thermodynamic and Statistical Physics » Ising Model

Appeared in Year: 2011

MCQ▾

### Question

A one – dimensional chain consists of a set of N rods each of length . When stretched by a load, each rod can align either parallel or perpendicular to the length of the chain. The energy of a rod is when aligned parallel to the length of the chain and is when perpendicular to it. When the chain is in thermal equilibrium at temperature T, its average length is – (December)

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 54

» Thermodynamic and Statistical Physics » Bose-Einstein Condensation

Appeared in Year: 2011

MCQ▾

### Question

The excitations of a three – dimensional solid are bosonic in nature with their frequency and wave – number k are related by in the large wavelength limit. If the chemical potential is zero, the behaviour of the specific heat of the system at low temperature is temperature is proportional to – (December)

### Choices

Choice (4) Response

a.

b.

c.

T

d.

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