Two concnetric shells of different masses `m_(1)` and `m_(2)` are having a sliding particle of mass m. The forces on the particle at position I, II and II are

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

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