CSIR (Council of Scientific & Industrial Research) Physical Sciences: Questions 39  42 of 463
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Question number: 39
» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion
Appeared in Year: 2014
Question
A particle of mass m and coordinate has the Lagrangian; where is a constant. The Hamiltonian for the system is given by, (June)
Choices
Choice (4)  Response  

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b. 


c. 


d. 


Question number: 40
» Mathematical Methods of Physics » Eigenvalues and Eigenvectors
Appeared in Year: 2014
Question
The column vector is a simultaneous eigenvector of and if,
(December)
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Choice (4)  Response  

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c. 


d. 


Question number: 41
» Thermodynamic and Statistical Physics » Laws of Thermodynamics
Appeared in Year: 2014
Question
The pressure P of a fluid is related to its number density by the equation of state where and are constants. If the initial volume of the fluid is the work done on the system when it is compressed so as to increase the number density from an initial value of to is – (December)
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Choice (4)  Response  

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c. 


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Question number: 42
» Mathematical Methods of Physics » Special Functions » Laguerre
Appeared in Year: 2011
Question
The generating function,
For the Legendre polynomials is . The value of is – (December)
Choices
Choice (4)  Response  

a. 


b. 


c.  +1 

d. 

