The magnitude of the gravitational field at distance `r_(1)` and `r_(2)` from the centre of a uniform sphere of radius `R` and mass `M` are `F_(1)` and `F_(2)` respectively. Then:

Options

A. `F_(1)/F_(2)=r_(1)/r_(2)` if `r_(1) lt R` and `r_(2) lt R`
B. `F_(1)/F_(2)=r_(1)^(2)/r_(2)^(2)` if `r_(1) gt R` and `r_(2) gt R`
C. `F_(1)/F_(2)=r_(1)/r_(2)` if `r_(1) gt R` and `r_(2) gt R`
D. `F_(1)/F_(2)=r_(2)^(2)/r_(1)^(2)` if `r_(1) lt R` and `r_(2) lt R`

Answer

A, B