Two rings having masses `M` and `2M` respectively, having the same radius are placed coaxially as shown in the figure.
If the mass distribution on both the rings is non-uniform, then the gravitational potential at point `P` is

A mass m is placed at point P lies on the axis of a ring of mass M and radius R at a distance R from its centre. The gravitational force on mass M is

A mass m is placed at point P lies on the axis of a ring of mass M and radius R at a distance R from its centre. The gravitational force on mass m is

Figure (a) shows a ring of mass m and figure (b) shows half portion of the same ring . Gravitational field at point P in figure (b) is I_(2) in magnitude and makes an angle phi with line . AB. Gravitational field at point P in figure (a) is I_(1) in magnitude . The ratio of (I_(1))/(2 I_(2)) is

Figure (a) shows a ring of mass m and figure (b) shows half portion of the same ring . Gravitational field at point P in figure (b) is I_(2) in magnitude and makes an angle phi with line . AB. Gravitational field at point P in figure (a) is I_(1) in magnitude . The ratio of (I_(1))/(2 I_(2)) is

A uniform ring of mass m and radius 3a is kept above a sphere of mass M and radius 3a at a distance of 4a (as shown in figure) such that line joining the centres of ring and sphere is perpendicular to the plane of the ring. Find the force of gravitational attraction between the ring and the sphere.

A uniform ring of mass m and radius 3a is kept above a sphere of mass M and radius 3a at a distance of 4a (as shown in figure) such that line joining the centres of ring and sphere is perpendicular to the plane of the ring. Find the force of gravitational attraction between the ring and the sphere.

A particle of mass M is placed at the centre of a uniform spherical shell of equal mass and radius a. Find the gravitational potential at a point P at a distance a/2 from the center.