Classical Mechanics (CSIR Physical Sciences): Questions 46 - 49 of 55

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Question number: 46

» Classical Mechanics » Poisson Brackets

Appeared in Year: 2012

MCQ▾

Question

The Poisson bracket { r , p } has the value – (June)

Choices

Choice (4) Response

a.

3

b.

1

c.

r^p^

d.

r p

Question number: 47

» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion

Appeared in Year: 2011

MCQ▾

Question

A particle of mass ‘m’ moves inside a bowl. If the surface of the bowl is given by the equation z=12a(x2+y2) where, a is a constant, the Lagrangian of the particle is: (December)

Choices

Choice (4) Response

a.

12m(r˙2+r2ϕ˙2gar2)

b.

12m[(1+a2r2)r˙2+r2ϕ˙2]

c.

12m[(1+a2r2)r˙2+r2ϕ˙2gar2]

d.

12m(r˙2+r2θ˙2+r2sin2θϕ˙2gar2)

Question number: 48

» Classical Mechanics » Rigid Body Dynamics - Moment of Inertia Tensor

Appeared in Year: 2011

MCQ▾

Question

An annulus of mass M made of a material of uniform density has inner and outer radii ‘a’ and ‘b’ respectively. Its principal moment of inertia along the axis of symmetry perpendicular to the plane of the annulus is: (December)

Choices

Choice (4) Response

a.

12M(b2a2)

b.

12Mπ(b2a2)

c.

12Mb4+a2b2a2

d.

12M(b2+a2)

Question number: 49

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

Appeared in Year: 2011

MCQ▾

Question

The minimum energy of an electron (the rest mass of which is 0.5 MeV) that can emit Cerenkov radiation while passing through water (of refractive index 1.5) is approximately – (December)

Choices

Choice (4) Response

a.

1.0MeV

b.

0.5MeV

c.

3.0MeV

d.

0.6MeV

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