Two concentric shells of different mass `m_(1)` and `m_(2)` are having a sliding particle of mass `m`. The forces on the sliding at positions `I,II ` and `III` are respectively

Options

A. `0,(Gm_(1))/(r_(2)^(2)),(G(m_(1)+m_(2))m)/(r_(1)^(2))`
B. `(Gm_(2))/(r_(2)^(2)),0,(Gm_(1))/(r_(1)^(2))`
C. `(G(m_(1)+m_(2))m)/(r_(1)^(2)),(Gm_(2))/(r_(2)^(2)),0`
D. `(G(m_(1)+m_(2))m)/(r_(1)^(2)),(G(m_(2))m)/(r_(2)^(2)),0`

Answer

D

Explanation

Position `I.F=(Gm(m_(1)+m_(2)))/(r_(1)^(2))`
(here the particle lies outside of both the shells) position, `II`. `F=(Gm_(2))/(r_(2)^(2))`. Here the particle lies outside of the shell of mass `m_(1)` position `III`. Here the particle lies inside of both the shell so `F=0`.