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Q.

If g is the acceleration due to gravity on the earth's surface, the change in the potential energy of an object of mass m raised from the surface of the earth to a height equal to the radius R of the earth is

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a

mgR2

b

2mgR

c

mgR

d

- mgR

answer is A.

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Detailed Solution

Ug=−GM1M2R⇒Uf−Ui=−GMm2R−GMmRΔu=GMm2R=mgR2             ∵g=GMR2
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If g is the acceleration due to gravity on the earth's surface, the change in the potential energy of an object of mass m raised from the surface of the earth to a height equal to the radius R of the earth is