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Q.

A satellite is going round a planet in circular orbit of radius ‘r’. Its kinetic energy is made double instantaneously, the direction of motion at that instant being unaltered. Then 

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a

The satellite will leave the gravitational field of the planet. 

b

The satellite will describe elliptical motion with minimum and maximum distances from the planet being r and  r2

c

The angular momentum of the satellite about the planet is increased by a factor    2

d

The satellite will describe circular orbit of radius  r2

answer is C, D.

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Detailed Solution

T.Ei=GMm2r=GMmr+12m(GMr)2         T.Ef=GMmr+2×12mGMr=0

Question Image

Hence parabolic escape
Hence (D) is correct option
Also  L1=mvr,Lf=m(2v)r=2Li
Hence (C) is also correct option

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