A solid sphere of mass $$M$$ and radius $$R$$ is surrounded by a spherical shell of same mass $$M$$ and radius $$2R$$ as shown. A small particle of mass $$m$$ is released from rest from a height $$h(<< R)$$ above the shell. There is a hole in the shell.
The Jupiter's period of revolution around the Sun is $$12$$ times that of the Earth.
The circular orbit of a stationary Earth's satellite remains motionless with respect to its surface.
A satellite revolves from east to west in a circular equatorial orbit of radius $$R=1.00\times10^4\:km$$ around the Earth.
For two balls of equal mass as shown in the figure, the magnitude of gravitational force between them if $$F$$: