Gravitation Tes...

The energy required to remove a body of mass $m$ from earth's surface is/are equal to:

 When a satellite has an elliptical orbit, the plane of the orbit

Let $V$ and $E$ be the gravitational potential and gravitational field at a distance $r$ from the centre of a uniform spherical shell. Consider the following two statements, ($A$) The plot of $V$ against $r$ is discontinuous and ($B$) The plot of $E$ against $r$ is discontinuous.

 If a particle is slowly brought from reference point to another point $P$ in a gravitational field, then work done per unit mass by the external agent is (at that point)

There is no atmosphere on the moon because

 The value of g at a particular point is 9.8 $m/sec^2$ suppose the earth suddenly shrink uniformly to half its present size without losing any mass. The value of $g$ at the same point (assuming that the distance of the point from the centre of the earth does not shrink) will become

A body of mass 'm' is approaching towards the centre of a hypothetical hollow planet of mass 'M' and radius 'R'. The speed of the body when it passes the centre of the planet through a diametrical tunnel is:

If g is the acceleration due to gravity at the Earths, surface, the gain of the potential energy of an object of mass m raised from the surface of the Earth to height equal to the radius R of the Earth is :

The ratio of the acceleration due to gravity as the bottom of a deep mine and that on the surface of the earth is 978/980. Find the depth of the mine, if the density of the earth is uniform throughout and the radius of the earth is 6300 km.

The escape velocity from the Earth is $11 kms^{-1}$. The escape velocity from a planet having twice the radius and same mean density as that of Earth is :