$A$ particle of mass $m$ is placed at the centre of a uniform spherical shell of mass $3m$ and radius $R$. The gravitational potential on the surface of the shell is

If $V$ is the gravitational potential due to a sphere of uniform density on its surface,then its value at the center of the sphere will be:

$A$ body of mass $2M$ is split into four masses $\{m, M-m, m, M-m\}$,which are placed at the corners of a square of side $d$ as shown in the figure. The ratio $\frac{M}{m}$ for which the gravitational potential energy of the system is maximum is $x:1$. The value of $x$ is ..... .

The potential energy of a satellite of mass $m$ revolving at a height $R_e$ above the surface of the Earth,where $R_e$ is the radius of the Earth,is:

What is the total energy of a system of two masses at an infinite distance from each other?

At some point,the gravitational potential and the gravitational field due to the Earth are both zero. This point is: