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
Question
Consider two independently diffusing noninteracting 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
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 » BoseEinstein Condensation
Appeared in Year: 2011
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. 

