Classical Mechanics (CSIR Physical Sciences): Questions 21 - 24 of 59

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Question number: 21

» Classical Mechanics » Periodic Motion » Normal Modes

Appeared in Year: 2014

MCQ▾

Question

A particle of mass m is moving in the potential V(x)=12ax2+14bx4; where a,b are positive constants. The frequency of small oscillation about a point of stable equilibrium is – (December)

Choices

Choice (4) Response

a.

6am

b.

2am

c.

am

d.

3am

Question number: 22

» Classical Mechanics » Special Theory of Relativity » Mass-Energy Equivalence

Appeared in Year: 2014

MCQ▾

Question

According to the special theory of relativity, the speed v of a free particle of free particle of mass m and total energy E is – (December)

Choices

Choice (4) Response

a.

v=c1mc2E

b.

v=c1(mc2E)2

c.

v=2Em(1+mc2m)

d.

v=c(1+mc2E)

Question number: 23

» Classical Mechanics » Special Theory of Relativity » Relativistic Kinematics

Appeared in Year: 2012

MCQ▾

Question

A horizontal circular platform rotates with a constant angular velocity Ω directed vertically upwards. A person seated at the centre shoots a bullet of mass ‘m’ horizontally with speed ‘v’. The acceleration of the bullet, in the reference frame of the shooter, is – (June)

Choices

Choice (4) Response

a.

2vΩtohisright

b.

2vΩtohisleft

c.

vΩtohisright

d.

vΩtohisleft

Question number: 24

» Classical Mechanics » Noether's Theorem

Appeared in Year: 2012

MCQ▾

Question

A binary star system consists of two stars S1 and S2, with masses m and 2m respectively separated by a distance r. If both S1 and S2 individually follow circular orbits around the centre of mass with instantaneous speed v1 and v2 respectively, the speed ratio v1v2 is – (December)

Choices

Choice (4) Response

a.

0

b.

2

c.

1

d.

12

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