Classical MechanicsLagrange's and Hamilton's Formalisms (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 1  3 of 21
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Question number: 1
» Classical Mechanics » Lagrange's and Hamilton's Formalisms
Appeared in Year: 2015
Question
The Hamiltonian for a system of two particles of masses and at and having velocities and is given by , where C is a constant. Which one of the following statements is correct?
Choices
Choice (4)  Response  

a.  Only the total energy is conserved 

b.  The total energy and total momentum are conserved 

c.  The total energy and total angular momentum are conserved. 

d.  The total energy and component of the total angular momentum are conserved 

Question number: 2
» Classical Mechanics » Lagrange's and Hamilton's Formalisms
Appeared in Year: 2015
Question
The Lagrangian for a particle of mass m at a position moving with a velocity is given by , where is a potential and C is a constant. If is the canonical momentum, then its Hamiltonian is given by,
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 3
» Classical Mechanics » Lagrange's and Hamilton's Formalisms
Appeared in Year: 2014
Question
The Hamilton’s canonical equations of motion in terms of Poisson Brackets are –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

