The centres of a ring of mass m and a sphere of mass M of equal radius R, are at a distance `sqrt(8)` R apart as shwon in fig. The force of attraction between the ring and the sphere is

Options

A. `(2sqrt(2))/27 (GmM)/(R^(2))`
B. `(GmM)/(8R^(2))`
C. `(GmM)/(9R^(2))`
D. `(sqrt(2))/9(GmM)/(9R^(2))`

Answer

A

Explanation

Force on the sphere due to ring
`F=ME` here `E=(Gmx)/((x^(2)+R^(2))^(3//2))` where `x=sqrt(8)R`