Classical MechanicsDynamical System (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1  5 of 7
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Question number: 1
» Classical Mechanics » Dynamical System
Appeared in Year: 2011
Question
A constant force F is applied to applied to a relativistic particle of rest mass m. If the particle starts from rest at , its speed after a time is  (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 2
» Classical Mechanics » Dynamical System
Appeared in Year: 2014
Question
The radius of Earth is approximately 6400 km. The height h at which the acceleration due to Earth’s gravity differs from at the Earth’s surface by approximately 1 % is – (December)
Choices
Choice (4)  Response  

a.  48 km 

b.  16 km 

c.  32 km 

d.  64 km 

Question number: 3
» Classical Mechanics » Dynamical System
Appeared in Year: 2011
Question
A particle of unit mass moves in a potential, where and are positive constants. The angular frequency of small oscillations about the minimum of the potential is – (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 4
» Classical Mechanics » Dynamical System
Appeared in Year: 2014
Question
A canonical transformation relates the old coordinates to the new ones by the relations and . The corresponding time – independent generating function is – (June – 2014)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 5
» Classical Mechanics » Dynamical System
Appeared in Year: 2014
Question
The time evolution of one – dimensional system is described by . If this has one stable and two unstable fixed points, then the parameter b satisfies – (June – 2014)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

