Classical Mechanics (CSIR Physical Sciences): Questions 28 - 31 of 55

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 389 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 250.00 or

Question number: 28

» Classical Mechanics » Hamilton-Jacobi Theory

Appeared in Year: 2014

MCQ▾

Question

A mechanical system is described by the Hamiltonian H(q,p)=p22m+12mω2q2 . As a result of the canonical transformation generated by F(q,Q)=Qq , the Hamiltonian in the new coordinate Q and momentum P becomes – (December)

Choices

Choice (4) Response
a.

12mQ2p2+mω22Q2

b.

12mp2+mω22Q2

c.

12mQ2p4+mω22p2

d.

12mQ2P2+mω22p2

Question number: 29

» Classical Mechanics » Special Theory of Relativity » Mass-Energy Equivalence

Appeared in Year: 2011

MCQ▾

Question

Given that the ground state energy of the hydrogen atom is 13.6eV , the ground state energy of positronium (which is a bound state of an electron and a positronium) is – (December)

Choices

Choice (4) Response
a.

13.6eV

b.

27.2eV

c.

+6.8eV

d.

6.8eV

Question number: 30

» Classical Mechanics » Dynamical System

Appeared in Year: 2011

MCQ▾

Question

A particle of unit mass moves in a potential V(x)=ax2+bx2 , where a and b are positive constants. The angular frequency of small oscillations about the minimum of the potential is – (June)

Choices

Choice (4) Response
a.

8a

b.

8ab

c.

8ba

d.

8b

Question number: 31

» Classical Mechanics » Central Force Motions

Appeared in Year: 2011

MCQ▾

Question

Two particles of identical mass move in circular orbits under a central potential V(r)=12kr2 . Let l1 and l2 be the angular momenta and r1,r2 be the radii of the orbits respectively. If l1l2=2 , the value of r1r2 is: (December)

Choices

Choice (4) Response
a.

2

b.

12

c.

2

d.

12

Sign In