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Q.

A body of mass m is situated at a distance 4Re above the Earth's surface, where Re is the radius of Earth. What minimum energy should be given to the body so that it may escape?

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a

mgRe16

b

mgRe

c

2mgRe

d

mgRe5

answer is C.

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Detailed Solution

To escape from the Earth total energy of the body should be zero, KE+PE=0.

       12mv2-GMm5Re=0 ⇒  KEmin=mgRe5

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