Thermodynamic and Statistical Physics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 45  47 of 64
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Question number: 45
» 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  

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Question number: 46
» Thermodynamic and Statistical Physics » Classical and Quantum Statistics
Appeared in Year: 2011
Question
Consider a system of N non – interacting spins, each of which has classical magnetic moment of magnitude . The Hamiltonian of this system in an external magnetic field is
where is the magnetic moment of the spin. The magnetization per spin at temperature T is: (June)
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Choice (4)  Response  

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c. 


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Question number: 47
» Thermodynamic and Statistical Physics » Free Energy
Appeared in Year: 2011
Question
Assume that the free energy of a magnetic system has an expansion in the order parameter M of the form , with . As the temperature is lowered below , the system undergoes a phase transition. The behaviour of the order parameter just below the transition, where is very small, is best described by – (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

