The gravitational force between a hollow spherical shell (of radius R and uniform density) and a point mass is E. Show the nature of F versus r graph where r is the distance of the point from the centre of the hollow spherical shell of uniform density.

The gravitational force between a hollow spherical shell (of radius R

1.	The gravitational force between a hollow spherical shell (of radius R and uniform density) and a point mass is E. Show the nature of F versus r graph where r is the distance of the point from the centre of the hollow spherical shell of uniform density.
Answer» Solution :`IMPLIES` Take density of the shell `(RHO)`is constant. Mass of the shell = (density) `xx`(volume) `(rho) xx 4/3 piR^(3) = M` As the density of the shell is uniform, it can be treated as a point mass placed at its centre. Now, gravitational force between `M and M_D` `F = (GMm)/R^(r ge R)` `F = 0 (r lt R)` The RELATION of F versus r is SHOWN in the diagram.