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JEE Main 2005 (AIEEE) · Gravitational Potential & Energy

Gravitational Potential & Energy question from JEE Main 2005 (AIEEE)

Q36JEE Main 2005 · AIEEEEasy

Gravitational Potential & Energy

A particle of mass $10\text{ g}$ is kept on the surface of a uniform sphere of mass $100\text{ kg}$ and radius $10\text{ cm}.$ Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you may take $G = 6.67 \times 10^{-11}\text{ N m}^2/\text{kg}^2$ )

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Answer: (c)

Work to take the particle to infinity $= U_\infty - U_R = \frac{GMm}{R}$
$W = \frac{6.67\times10^{-11}\times 100 \times 0.01}{0.1}$
$W = 6.67\times10^{-10}\ \text{J}$
So the answer is (c).

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