Classical Mechanics-Phase Space Dynamics (CSIR Physical Sciences): Questions 1 - 2 of 2

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Question number: 1

» Classical Mechanics » Phase Space Dynamics

MCQ▾

Question

Which of the following set of phase – space trajectories is not possible for a particle obeying Hamilton’s equations of motion? (December)

Choices

Choice (4) Response
a.
A phase – space trajectories – Choice A

A Phase – Space Trajectories – Choice a

In figure a phase – space trajectories is shown.

b.
A phase – space trajectories – Choice B

A Phase – Space Trajectories – Choice B

In figure a phase – space trajectories is shown.

c.
A phase – space trajectories – Choice C

A Phase – Space Trajectories – Choice C

In figure a phase – space trajectories is shown.

d.
A phase – space trajectories – Choice D

A Phase – Space Trajectories – Choice D

In figure a phase – space trajectories is shown.

Question number: 2

» 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

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