Classical MechanicsLagrangian and Hamiltonian Formalism and Equations of Motion (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1  6 of 16
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Question number: 1
» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion
Appeared in Year: 2013
Question
The Hamiltonian of a relativistic particle of rest mass m and momentum p is given by , in units in which the speed of light . The corresponding Lagrangian is – (December)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 2
» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion
Appeared in Year: 2013
Question
The Lagrangian of a particle of mass m moving in one dimension is given by,
Where, b is a positive constant. The coordinate of the particle at time t is given by: (in the following and are constants) (June)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 3
» 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  

a. 
 
b. 
 
c. 
 
d. 

Question number: 4
» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion
Appeared in Year: 2012
Question
If the Lagrangian of a particle moving in one dimension is given by the Hamiltonian is – (June)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 5
» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion
Appeared in Year: 2014
Question
The equation of motion of a system described by the time dependent Lagrangian is – (December)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 6
» 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. 
