Thermodynamic and Statistical PhysicsFree Energy (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 5  8 of 9
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Question number: 5
» Thermodynamic and Statistical Physics » Free Energy
Appeared in Year: 2011
Question
If the number density of a free electron gas in three electron gas in three dimensions is increase eight times, its Fermi temperature will –
(December)
Choices
Choice (4)  Response  

a.  Increase by a factor of 4  
b.  Decrease by a factor of 4  
c.  Decrease by a factor of 8  
d.  Increase by a factor of 8 
Question number: 6
» Thermodynamic and Statistical Physics » Free Energy
Appeared in Year: 2013
Question
If the energy dispersion of a two – dimensional electron system is , where is the velocity and k is the momentum, then the density of states depends on the energy as, (June)
Choices
Choice (4)  Response  

a. 
 
b.  E  
c.  Constant  
d. 

Question number: 7
» Thermodynamic and Statistical Physics » Free Energy
Appeared in Year: 2012
Question
The free energy difference between the superconducting and the normal states of a material is given by, where is an order parameter and and are constants such that in the normal and in the superconducting state, while always. The minimum value of is – (December)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 8
» Thermodynamic and Statistical Physics » Free Energy
Appeared in Year: 2011
Question
Gas molecules of mass ‘m’ are confined in a cylinder of radius R and height L (With R > > L) kept vertically in the Earth’s gravitational field. The average energy of the gas at low temperature (such that ) is given by, (December)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
