Classical Mechanics-Special Theory of Relativity (CSIR Physical Sciences): Questions 15 - 16 of 16

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Question number: 15

» Classical Mechanics » Special Theory of Relativity » Relativistic Kinematics

Appeared in Year: 2011

MCQ▾

Question

A planet of mass m moves in the inverse square central force field of the Sun of mass M. If the semi – major and semi – minor axes of the orbit are a and b , respectively, the total energy of the planet is: (December)

Choices

Choice (4) Response

a.

GMm(1a+1b)

b.

GMma+b

c.

GMmab(a+b)2

d.

GMma(1b1a)

Question number: 16

» Classical Mechanics » Special Theory of Relativity » Lorentz Transformations

Appeared in Year: 2016

MCQ▾

Question

Let (x,t) and (x,t) be the coordinate systems used by the observers O and O , respectively. Observer O moves with a velocity v=βc along their common positive x axis. If x+=x+ct and x=xct are the linear combinations of the coordinates the Lorentz transformation relating O and O takes the form – (June)

Choices

Choice (4) Response

a.

x+=1+β1βx+andx=1β1+βx

b.

x+=1β1+βx+andx=1+β1βx

c.

x+=xβx+1β2andx=x+βx1β2

d.

x+=x+βx1β2andx=xβx+1β2

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