Classical Mechanics (CSIR Physical Sciences): Questions 50  52 of 59
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Question number: 50
» Classical Mechanics » Symmetry
Question
The character table of , the group of symmetries of an equilateral triangle is given below,
















In the above denotes the three classes of , containing 1, 3 and 2 elements respectively, and are the characters of the three irreducible representations and of . The entries and in this table are, respectively –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 51
» Classical Mechanics » Special Theory of Relativity » Relativistic Kinematics
Appeared in Year: 2011
Question
Two gravitating bodies A and B with masses and , respectively, are moving I circular orbit. Assume that and let the radius of the orbit of body A be . If the body A is losing mass adiabatically, its orbital radius is proportional to –
(June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


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 
