Classical MechanicsLagrangian and Hamiltonian Formalism and Equations of Motion (CSIR Physical Sciences): Questions 1  3 of 11
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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. 
