If the ratio of the orbital distance of the two planets `(d_(1))/(d_(2)) = 2`, what is the ratio of gravitational field experienced by these two planets?

Explanation

The gravitational field exprerienced by planets 1
` E_(1)= (GM)/(d_(1)^(2))`
The gravitational field experienced by planet 2
`E_(2) = (GM)/(d_(2)^(2))`
The ratio of their orbital distance `d_(1)=2d_(2)`
The ratio of gravitational field of two planets .
` (E_(1))/(E_(2)) = (GM)/((2d_(2))^(2))xx (d_(2)^(2))/(GM) = (GM)/(4d_(2)^(2)) xx (d_(2)^(2))/(GM) `
`(E_(1))/(E_(2)) = 1/4`
` :. " " E_(2) = 4E_(1)`