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A particle of mass \( 10 \mathrm{~g} \) is kept on the surface of a uniform sphere of mass \( 100 \mathrm{~kg} \) and radius \( 10 \mathrm{~cm} \). Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you may take \( G=6.67 \times 10^{-11} \mathrm{Nm}^{2} / \mathrm{kg}^{2} \) ) [AIEEE 2005; AIIMS 2008]
(a) \( 6.67 \times 10^{-9} \mathrm{~J} \)
(b) \( 6.67 \times 10^{-10} \mathrm{~J} \)
(c) \( 13.34 \times 10^{-10} \mathrm{~J} \)
(d) \( 3.33 \times 10^{-10} \mathrm{~J} \)
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