What would be the acceleration due to gravity on the surface of a planet if its radius is `(1)/(4)` the radius of the earth and its mass is `(1)/(80)`th the mass of the earth ?

Options

A. `g_(p)=(g)/(2)`
B. `g_(p)=(g)/(5)`
C. `g_(p)=(g)/(3)`
D. `g_(p)=(g)/(4)`

Answer

B

Explanation

`(g_(P))/(g)=((GM_(P))/(R_(P)^(2)))/((GM_(E ))/(R_(E )^(2)))=(M_(P))/(M_(E ))xx((R_(E ))/(R_(P)))^(2)`
`=(1)/(80)xx((4)/(1))^(2)=(1)/(5) therefore g_(P)=(g)/(5)`