The work done to raise a mass m from the surface of the earth to a height h, which is equal to the radius of the earth, is :
A
mgR
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B
2 mgR
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C
12mgR
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D
32mgR
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Solution
The correct option is C12mgR Initial potential energy at earths surface is Ui=−GMmR Final potential energy at height h = R Uf=−GMm2R As work done = change in PE ∴W=Uf−Ui =GMm2R