Classical Mechanics (CSIR Physical Sciences): Questions 42 - 45 of 55

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Question number: 42

» Classical Mechanics » Generalized Coordinates

Appeared in Year: 2013

MCQ▾

Question

The numbers of degrees of freedom of a rigid body in d space – dimension is – (June)

Choices

Choice (4) Response
a.

d!

b.

2d

c.

d(d+1)2

d.

6

Question number: 43

» Classical Mechanics » Phase Space Dynamics

Appeared in Year: 2012

MCQ▾

Question

Consider the motion of a classical particle in a one – dimensional double – well potential V(x)=14(x22)2 . If the particle is displaced infinitesimally from the minimum on the positive x – axis (and friction is neglected), then – (June)

Choices

Choice (4) Response
a.

The particle will execute simple harmonic motion in the right well an angular frequency ω=2

b.

The particle will approach the bottom of the right well and settle there

c.

The particle will switch between the right and left wells

d.

The particle will execute simple harmonic motion in the right well an angular frequency ω=2

Question number: 44

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

Appeared in Year: 2012

MCQ▾

Question

Two bodies of equal mass m are connected by a massless rigid rod of length l lying in the XY – plane with the centre of the rod at the origin. If this system is rotating about the z axis with a frequency ω , its angular momentum is – (December)

Choices

Choice (4) Response
a.

ml2ω4

b.

ml2ω

c.

ml2ω2

d.

2ml2ω

Question number: 45

» Classical Mechanics » Special Theory of Relativity » Relativistic Kinematics

Appeared in Year: 2012

MCQ▾

Question

What is the proper time interval between the occurrences of two events if in one inertial frame the events are separated by 7.5×105km and occurs 6.5s apart? (June)

Choices

Choice (4) Response
a.

6.50s

b.

6.00s

c.

5.00s

d.

5.75s

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