CSIR Physical Sciences: Questions 126 - 128 of 401

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Question number: 126

» 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: 127

» 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

Question number: 128

» Mathematical Methods of Physics » Partial Differential Equations

Appeared in Year: 2012

MCQ▾

Question

The unit normal vector at the point,

(a3,b3,c3)

On the surface of the ellipsoid

x2a2+y2b2+z2c2=1, is – (December)

Choices

Choice (4) Response

a.

bci^+acj^+abk^b2c2+a2c2+a2b2

b.

ai^+bj^+ck^a2+b2+c2

c.

bi^+cj^+ak^a2+b2+c2

d.

bci^+caj^+abk^a2+b2+c2

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