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Q.

A body is revolving  very close to the surface of the planet. When mass of the planet suddenly reduced to half without any change in radius then

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a

 Body falls on to the surface of the planet

b

Body escapes from planet

c

Continues to move in the same orbit

d

it will move to an higher orbit

answer is B.

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Detailed Solution

present orbital velocity is GMR if mass of the planet becomes M2the orbital velocity suppose to be GM2Rbut the present velocity is 2 times more than this so it will escape as 

ve=2vo

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