Classical Mechanics-Dynamical System (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1 - 5 of 7

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Question number: 1

» Classical Mechanics » Dynamical System

Appeared in Year: 2011

MCQ▾

Question

A constant force F is applied to applied to a relativistic particle of rest mass m. If the particle starts from rest at , its speed after a time is - (December)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 2

» Classical Mechanics » Dynamical System

Appeared in Year: 2014

MCQ▾

Question

The radius of Earth is approximately 6400 km. The height h at which the acceleration due to Earth’s gravity differs from at the Earth’s surface by approximately 1 % is – (December)

Choices

Choice (4) Response

a.

48 km

b.

16 km

c.

32 km

d.

64 km

Question number: 3

» Classical Mechanics » Dynamical System

Appeared in Year: 2011

MCQ▾

Question

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

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 4

» Classical Mechanics » Dynamical System

Appeared in Year: 2014

MCQ▾

Question

A canonical transformation relates the old coordinates to the new ones by the relations and . The corresponding time – independent generating function is – (June – 2014)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 5

» Classical Mechanics » Dynamical System

Appeared in Year: 2014

MCQ▾

Question

The time evolution of one – dimensional system is described by . If this has one stable and two unstable fixed points, then the parameter b satisfies – (June – 2014)

Choices

Choice (4) Response

a.

b.

c.

d.

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