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JEE Main2005PhysicsGravitationActual

A particle of mass 10 ~g is kept on the surface of a uniform sphere of mass 100 ~kg and radius 10 ~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 10⁻¹¹ Nm ^2 / kg ^2 )

Options

  1. A13.34 10⁻¹⁰ ~J
  2. B3.33 10⁻¹⁰ ~J
  3. C6.67 10⁻⁹ ~J
  4. D6.67 10⁻¹⁰ ~J

Correct answer

D. 6.67 10⁻¹⁰ ~J

Step-by-step solution

w = GMm / R =6.67 10⁻¹⁰ ~J

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