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Question

# If the gravitational potential energy of a body at a distance r from the centre of the earth is U, then its weight at that point is

A
Ur
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B
U2r
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C
U4r
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D
Ur
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Solution

## The correct option is D UrThe magnitude of gravitational potential energy at a distance r from the center of the earth is given by U=GMmr Where M is the mass of the earth and m the mass of the body. And we know that acceleration due to gravity at a distance r from the center of the earth, g=GMr2 So, weight of the body will be W=mg=mGMr2 ⇒W=GMmr×1r=Ur Hence, option (d) is correct.

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