Two bodies of same masses are placed at height h and 2h. Compare their gravitational potential energy.

Given:
Mass of first body = Mass of second body = m
Height of first body = h
Height of second body = 2h
g is same for both the bodies.

We know Gravitational potential energy = mgh

Gravitation potential energy of first body (U₁) = mgh
Gravitation potential energy of second body (U₂)= mg2h

On comparing both gravitational potential energy:

$\dfrac{\text{U}$1}{\text{U}2} = \dfrac{\text{mgh}}{\text{mg2h}} = \dfrac{\text{1}}{\text{2}}

So, gravitational potential energy of first body : gravitational potential energy of second body = 1:2.