The mass and diameter of a planet are half of thast of the earth. The ratio of gravitational potential energy of a body on the surface of the planet to that on the surface of the earth is

Options

A. `1:1`
B. `1:2`
C. `3:1`
D. `1:4`

Answer

A

Explanation

`(P.E.)_("earth")=(GMm)/(R )`
`(P.E.)_("planet")=(G(M)/(2)m)/((R )/(2))=(GMm)/(R )`
`therefore` Ratio is 1 : 1.