Two metal spheres each of radius `r` are kept in contact with each other. If `d` is the density of the material of the sphere,then the gravitational force between those spheres is proportional to

Options

A. `d^(2)//r^(6)`
B. `d^(2)r^(4)`
C. `d^(2)//r^(4)`
D. `r^(4)//d^(2)`

Answer

b

Explanation

`F prop (m^(2))/(r^(2))=((4pi)/(3)r^(6))/(r^(2))d^(2)`
`F prop r^(4)d^(2)`.