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Question

# A body of mass m is moved to a height equal to the radius of the earth R. The increase in its potential energy is:

A
GMmR
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B
2GMmR
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C
12GMmR
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D
14GMmR
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Solution

## The correct option is C 12GMmRWhen the object is placed at surface of earth, potential energy is given as, Ui=−GMmR where m is mass of the object, M is mass of the earth and R is the radius of the earth. when the object is placed at height R above the surface of earth. Potential energy is given by, Uf=−GMmR+R=−GMm2R Now, change in potential energy, ΔU=Uf−Ui or, ΔU=−GMm2R+GMmR or, ΔU=12GMmR

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