Question

There are two planets . Ratio of their diameter is 4 :1 . Ratio of their density is 2 : 1 . Find the ratio of the values of acceleration due to garvity ( g ) of both the planet . Send the answernwith all the steps . Plz send fast its too urgent .

Answer 1

By using:

g=GM/R²

so g₁=GM₁/R₁(gravity of planet 1)

g₂=GM₂/R₂(gravity of planet 2)

also M₁/M₂=V₁d₁/v₂d₂

AS v=4/3 π r³

M₁/M₂=V₁d₁/v₂d₂= R₁³ d₁/R₂³d₂--------equ(1)

Therefore,

g₁/g₂=R₁d₁/R₂d₂=(4/1)x(1/2) =2:1

∴The accelerations due to gravity on the planets are in the ratio of 2:1