Classical Mechanics-Dynamical System (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1 - 4 of 6

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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 Equation , its speed after a time Equation is - (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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 Equation 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 Equation , where Equation and Equation are positive constants. The angular frequency of small oscillations about the minimum of the potential is – (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 4

» Classical Mechanics » Dynamical System

Appeared in Year: 2014

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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