CSIR (Council of Scientific & Industrial Research) Physical Sciences: Questions 214 - 217 of 463

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Question number: 214

» 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: 215

» Mathematical Methods of Physics » Taylor & Laurent Series

Appeared in Year: 2012

MCQ▾

Question

The Taylor expansion of the function , where is real, about the point starts with the following terms – (December)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 216

» Mathematical Methods of Physics » Partial Differential Equations

Appeared in Year: 2013

MCQ▾

Question

If , then the integral

(Where C is along the perimeter of a rectangle area bounded by and ) is – (Dec -2013)

Choices

Choice (4) Response

a.

b.

c.

d.

0

Question number: 217

» Thermodynamic and Statistical Physics » Free Energy

Appeared in Year: 2013

MCQ▾

Question

If the energy dispersion of a two – dimensional electron system is , where is the velocity and k is the momentum, then the density of states depends on the energy as, (June)

Choices

Choice (4) Response

a.

b.

Constant

c.

d.

E

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