A solid sphere of mass m and radius r is placed inside a hollow thin spherical shell of mass M and radius R as shown in figure. A particle of mass `m^'` is placed on the line joining the two centres at a distance x from the point of contact of the sphere and the shell. Find the magnitude of the resultant gravitational force on this particle due to the sphere and the shell if
`x gt 2R`

Options

A. `(2GMm^')/(x-r)^2+(Gmm^')/(x+r)^2`
B. `(2GMm^')/(2(x-R)^2)+(2Gmm^')/(x+r)^2`
C. `(2GMm^')/(x+R)^2+(Gmm^')/(x+r)^2`
D. `(2GMm^')/(x-R)^2+(Gmm^')/(x-r)^2`

Answer

D