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
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