The magnitudes of gravitational field at distances `r_(1) and r_(1)` from the centre of a uniform sphere of radius R and mass M are `I_(1) and I_(2)` respectively. Find the ratio of `((I_(1))/(I_(2)))` if
`r_(1) gt R and r_(2) gt R and `

Explanation

In case of spherical volume distribution of mass `I = (GM)/(r^(2)) " for " r gt R`
and `I = (GM)/( R^(3)) r " for " r lt R`
As both `r_(1) and r_(2)` are greater than R
`(I_(1))/( I_(2)) = ((GM // r_(1)^(2)))/( (GM // r_(2)^(2))) = (r_(2)^(2))/( r_(1)^(2))`