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Question

A body of mass m is taken from earth's surface to q a height equal to radius of earth . the change in potential will be

A
mg
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B
12mgR
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C
2mgR
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D
14mgR
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Solution

The correct option is D 12mgR
Given,
Mass =m,
Height h=R
Potential energy at surface Us=GMmR=mgR (gR2=GM)
Potential energy at height h=R, Uh=GMmR+R=mgR2
Change in potential energy ΔU=mgR2(mgR)=mgR2

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