CSIR (Council of Scientific & Industrial Research) Physical Sciences: Questions 212  215 of 463
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Question number: 212
» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion
Appeared in Year: 2013
Question
A system is governed by Hamiltonian,
Where a and b are constant are are momenta conjugate to and respectively. For what value of and will the quantities and be conserved? (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 213
» Mathematical Methods of Physics » Poles, Residues & Evaluation of Integrals
Appeared in Year: 2012
Question
The value of the integral , where C is a closed contour defined by the equation , traversed in the anti – clockwise direction, is –
(December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 214
» Classical Mechanics » Phase Space Dynamics
Question
Which of the following set of phase – space trajectories is not possible for a particle obeying Hamilton’s equations of motion? (December)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 215
» Mathematical Methods of Physics » Taylor & Laurent Series
Appeared in Year: 2012
Question
The Taylor expansion of the function , where is real, about the point starts with the following terms – (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

