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))=(2r_(1)^2)/(r_(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_(1)^(2))/(r_(1)^(2))"if "r_(1) lt R and r_(2) lt R`

Answer

A