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

Given: `(d_1)/(d_2)=2`
Formula:
Gravitational field,
`E=(GM)/(d^2)`
`(E_2)/(E_1)=(((GM)/(d_(2)^(2))))/(((GM)/(d_(1)^(2))))=((d_1)/(d_2))^(2)=(2)^(2)`
`(E_2)/(E_1)=4`
`E_(2)=4E_(1)`