CSIR (Council of Scientific & Industrial Research) Physical Sciences: Questions 353  355 of 463
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Question number: 353
» 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: 354
» Mathematical Methods of Physics » Linear Ordinary Differential Equations of First & Second Order
Appeared in Year: 2011
Question
Let and be two linearly independent solutions of the differential equation, and let . If , then is given by, (December)
Choices
Choice (4)  Response  

a.  1 

b. 


c. 


d. 


Question number: 355
» Thermodynamic and Statistical Physics » Fermi Gases
Appeared in Year: 2011
Question
The energy levels of electrons of mass ‘m’ and charge ‘e’ confined in an area A in the xy – plane with a uniform magnetic field B applied in the z – direction are given by the degeneracy of each level is . The lowest level is completely filled and the others are empty. The Fermi energy , where, N is the total number of electrons, is – (December)
Choices
Choice (4)  Response  

a.  Coincident with the level 

b.  Midway between the and the levels 

c.  Midway between the and the levels 

d.  Coincident with the level 
