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Q.

The amount of work done in lifting a body of mass ‘m’ from the surface of the earth to a height equal to twice the radius of the earth is

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a

large frac {2GMm}{3R}

b

large frac {3GMm}{2R}

c

large frac {5GMm}{3R}

d

large frac {3GMm}{5R}

answer is A.

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Detailed Solution

large U_i=-frac {GMm}{R};U_f=-frac {GMm}{3R}
W = ΔU = Uf - Ui
large W=-frac {GMm}{3R}+frac {GMm}{R}=2frac {GMm}{3R}

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