Gravitational Potential Energy

Gravitational potential energy of a body at a point is defined as the amount of work done in bringing the given body from infinity to that point against gravitational force
i.e. Gravitational potential energy = Gravitational potential mass of the body
Given,
In the first condition,

...(i)
In the second condition,

...(ii)
Change in energy required to lift it,


...(iii)
On dividing E (ii) by E (i), we get