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Q.

What is the weight of a body at a distance 2r from the centre of the earth if the gravitational potential energy of the body at a distance r from the centre of the earth is U

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a

U/2r

b

U/3r

c

U/4r

d

Ur

answer is C.

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Detailed Solution

W=mg=mGMR2 U=GMmr or GM=(Ur/m)∴ W=mUrm×1R2=mUrm×1(2r)2 =U4r
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What is the weight of a body at a distance 2r from the centre of the earth if the gravitational potential energy of the body at a distance r from the centre of the earth is U