Classical Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 52  55 of 69
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Question number: 52
» 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: 53
» Classical Mechanics » Special Theory of Relativity » MassEnergy Equivalence
Appeared in Year: 2011
Question
An atom of mass M can be excited to a state of mass by photon capture. The frequency of a photon which can cause this transition is – (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 54
» Classical Mechanics » Special Theory of Relativity » Relativistic Kinematics
Appeared in Year: 2011
Question
A planet of mass m moves in the inverse square central force field of the Sun of mass M. If the semi – major and semi – minor axes of the orbit are and , respectively, the total energy of the planet is: (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Passage
In the absence of an applied torque a rigid body with three distances principal moments of inertia given by is rotating freely about a fixed point inside the body. The Euler equations for the components of its angular velocity are
(June)
Question number: 55 (1 of 1 Based on Passage) Show Passage
» Classical Mechanics » Rigid Body Dynamics  Moment of Inertia Tensor
Appeared in Year: 2011
Question
The constant of motion are –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

