Thermodynamic and Statistical Physics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 48  51 of 64
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Question number: 48
» Thermodynamic and Statistical Physics » BoseEinstein Condensation
Appeared in Year: 2011
Question
Consider an ideal Bose gas in three dimensions with the energy – momentum relation with . The range of for which this system may undergo a Bose – Einstein condensation at a non zero temperature is – (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 49
» Thermodynamic and Statistical Physics » Brownian Motion
Appeared in Year: 2011
Question
A gas of N non interacting particles is in thermal equilibrium at temperature T. Each particle can be in any of the possible non – degenerate state of energy . The average energy per particle of the gas, when , is – (December)
Choices
Choice (4)  Response  

a.  ε 

b. 


c. 


d. 


Question number: 50
» Thermodynamic and Statistical Physics » Maxwell Relations
Appeared in Year: 2012
Question
The energy required to create a lattice vacancy in a crystal is equal to . The ratio of the number densities of vacancies , when crystal is equilibrium at 1200 K and 300 K, respectively, is approximately, (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 51
» Thermodynamic and Statistical Physics » Fermi Gases
Appeared in Year: 2011
Question
The energy levels of electrons of mass ‘m’ and charge ‘e’ confined in an area A in the xy – plane with a uniform magnetic field B applied in the z – direction are given by the degeneracy of each level is . The lowest level is completely filled and the others are empty. The Fermi energy , where, N is the total number of electrons, is – (December)
Choices
Choice (4)  Response  

a.  Coincident with the level 

b.  Midway between the and the levels 

c.  Midway between the and the levels 

d.  Coincident with the level 
