A point `P` lies on the axis of a fixed ring of mass `M` and radius `R`, at a distance `2R` from its centre `O`. A small particle starts from `P` and reaches `O` under gravitational attraction only. Its speed at `O` will be

A point P lies on the axis of a fixed ring of mass M and radius a , at a distance a from its centre C . A small particle starts from P and reaches C under gravitational attraction only. Its speed at C will be.

A point P(R sqrt(3),0,0) lies on the axis of a ring of mass M and radius R. The ring is located in yx-plane with its centre at origin O. A small particle of mass m starts from P and reaches O under gravitational attraction only. Its speed at O will be

A point P (Rsqrt(3)m,0,) lies on the axis of a ring of mass M and radius R. The ring is located in y -z plane with its centre at origin. A small particle of mass m start from P and reaches O under gravitational attraction only. Its speed at O will be.

A point P(Rsqrt(3),0,0) lies on the axis of ring of mass M and radius R the ring is located in YZ plane with its centre at origin O A small particle of mass m starts from P and reaches O under gravitatinal attracton only its speed at O will be

For a uniform ring of mass M and radius R at its centre

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

Potential on the axis of ring of radius 3R and at distance 4R from centre of ring is (charge on the ring is Q )

P is a point at a distance r from the centre of a spherical shell of mass M and radius a, where r lt a . The gravitational potential at P is

The distance of the centre of mass of a hemispherical shell of radius R from its centre is