Mass $M$ is uniformly distributed only on the curved surface of a thin hemispherical shell. $A, B$ and $C$ are three points on the circular base of the hemisphere, such that $A$ is the centre. Let the gravitational potential at points $A, B$ and $C$ be $V_{\mathit{A}}, V_{\mathit{B}}, V_{\mathit{C}}$ respectively. Then

A body starts from rest at a point, distance $R_0$ from the centre of the earth of mass $M$, radius $R$. The velocity acquired by the body when it reaches the surface of the earth will be

Three equal masses each of mass $m$ are placed at the three-corners of an equilateral triangle of side $a$.

If a fourth particle of equal mass is placed at the centre of the triangle, then the net force acting on it, is equal to:

Three equal masses each of mass $m$ are placed at the three-corners of an equilateral triangle of side $a$.

If fourth particle is at the mid-point of a side, then the net force acting on it is equal to:

Three equal masses each of mass $m$ are placed at the three-corners of an equilateral triangle of side $a$. 

If above given three particles system of equilateral triangle side $a$ is to be changed to side of $2a$, then work done on the system is equal to:

Three equal masses each of mass $m$are placed at the three-corners of an equilateral triangle of side $a$.

In the above given three-particle system, if two particles are kept fixed and the third particle is released. Then speed of the particle when it reaches the mid-point of the side connecting the other two masses:

The figure shows the variation of energy with the orbit radius of a body in circular planetary motion. Find the correct statement about the curves A, B and C