CSIR (Council of Scientific & Industrial Research) Physical Sciences: Questions 253  255 of 463
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Question number: 253
» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion
Appeared in Year: 2012
Question
The Hamiltonian of a simple pendulum consisting of a mass attached to a massless string of length is . If L denotes the Lagrangian, the value of is – (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 254
» Mathematical Methods of Physics » Matrices
Appeared in Year: 2012
Question
Given a unitary matrix satisfying with , one can construct a unitary matrix with from it by, (December)
Choices
Choice (4)  Response  

a.  Multiplying by 

b.  Multiplying by 

c.  Multiplying any single element of by 

d.  Multiplying any row or column of by 

Question number: 255
» Quantum Mechanics » Elementary Theory of Scattering » Born Approximation
Appeared in Year: 2014
Question
The scattering amplitude for the potential ; where and are positive constants, is given, in the Born approximation, by (in the following and ) – (June – 2014)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

