Classical MechanicsLagrangian and Hamiltonian Formalism and Equations of Motion (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 11  13 of 16
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Question number: 11
» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion
Appeared in Year: 2011
Question
The Hamiltonian of a particle of unit mass moving in the XY – plane is given to be:
in suitable units. The initial values are given to be and . During the motion, the curves traced out by the particles in the xy – plane and the plane are (June)
Choices
Choice (4)  Response  

a.  both hyperbolas 

b.  both straight lines 

c.  a hyperbola and an ellipse, respectively 

d.  a straight line and a hyperbola respectively 

Question number: 12
» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion
Appeared in Year: 2016
Question
The Hamiltonian of a system with generalized coordinate and momentum is . A solution of the Hamiltonian equation of motion is – (in the following and are constants) (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 13
» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion
Appeared in Year: 2016
Question
The dynamics of a particle governed by the Lagrangian describes: (December)
Choices
Choice (4)  Response  

a.  a free particle 

b.  an undamped harmonic oscillator with a time dependent frequency 

c.  a damped harmonic oscillator with a time varying damping factor 

d.  an undamped simple harmonic oscillator 
