Gravitation

JEE Main level, single correct, medium

159 of 223

Question 159 of 223

A particle of mass 10 g10 \mathrm{~g} is kept on the surface of a uniform sphere of mass 100 kg100 \mathrm{~kg} and radius 10 cm10 \mathrm{~cm}. Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you may take G=6.67×10−11Nm2/kg2\mathrm{G}=6.67 \times 10^{-11} \mathrm{Nm}^2 / \mathrm{kg}^2 )

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Answer: (D) 6.67×10−10 J6.67 \times 10^{-10} \mathrm{~J}

w=GMm/R=6.67×10−10 J\mathrm{w}=\mathrm{GMm} / \mathrm{R}=6.67 \times 10^{-10} \mathrm{~J}

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