A solid sphere of uniform density and radius R applies a gravitational force of attraction equal to `F_1` on a particle placed at a distance 3R from the center of the sphere. The 1 sphere with the cavity now applies a gravitational force `F_2`, on the same particle. Then ratio `F_1/F_2` is

A solid sphere of uniform density and radius R applies a gravitational force attraction equal to F_(1) on a particle placed at P , distance 2R from the centre O of the sphere. A spherical cavity of radius R//2 is now made in the sphere as shows in figure. The particle with cavity now applies a gravitational force F_(2) on same particle placed at P . The radio F_(2)//F_(1) will be

The gravitational force acting on a particle, due to a solid sphere of uniform density and radius R , at a distance of 3R from the centre of the sphere is F_1. A spherical hole of radius (R//2) is now made in the sphere as shown in diagram. The sphere with hole now exerts a force F_2 on the same particle. ratio of F_1 to F_2 is

A solid sphere of mass M and radius R has a spherical cavity of radius R/2 such that the centre of cavity is at a distance R/2 from the centre of the sphere. A point mass m is placed inside the cavity at a distanace R/4 from the centre of sphere. The gravitational force on mass m is

A uniform solid sphere of radius R produces a gravitational acceleration of a_g on its surface. At what distance from the sphere's center are there points (a) inside and (b) outside the sphere where the gravitational acceleration is a_g /2?

The figure represents a solid uniform sphere of mass M and radius R . A spherical cavity of radius r is at a distance a from the centre of the sphere. The gravitational field inside the cavity is

Gravitational force, F=Gm_(1)m_(2)//r.

A solid sphere of mass m radius r is placed inside a hollow thin spherical shell of mass M and radius 2r as shown in figure. A particle of mass m' is placed on the line joining the two centres at a distance x from the point of contact of the sphere and the shell. find the magnitude of the resultant gravitational force on this particle due to the sphere and the shell if 2rltxlt2R

A solid sphere of mass m radius r is placed inside a hollow thin spherical shell of mass M and radius 2r as shown in figure. A particle of mass m' is placed on the line joining the two centres at a distance x from the point of contact of the sphere and the shell. find the magnitude of the resultant gravitational force on this particle due to the sphere and the shell if xgt2R