The density inside a solid sphere of radius `a` is given by `rho=rho_(0)(1-r/a)`, where `rho_(0)` is the density at the surface and `r` denotes the distance from the centre. Find the gravitational field due to this sphere at a distance `2a` from its centre.

The density inside a solid sphere of radius a is given by rho=rho_0/r , where rho_0 is the density ast the surface and r denotes the distance from the centre. Find the graittional field due to this sphere at a distance 2a from its centre.

A hallow metal sphere of radius R is uniformly charged. The electric field due to the sphere at a distance r from the centre:

A solid sphere of radius R has a mass distributed in its volume of mass density rho=rho_(0) r, where rho_(0) is constant and r is distance from centre. Then moment of inertia about its diameter is

A solid sphere of radius R has a volume charge density rho=rho_(0) r^(2) (where rho_(0) is a constant ans r is the distance from centre). At a distance x from its centre (for x lt R ), the electric field is directly proportional to :

Inside a uniform sphere of density rho there is a spherical cavity whose centre is at a distance l from the centre of the sphere. Find the strength of the gravitational field inside the cavity.

Inside a uniform sphere of density rho there is a spherical cavity whose centre is at a distance l from the centre of the sphere. Find the strength G of the gravitational field inside the cavity.

A ball of radius R carries a positive charges whose volume density at a point is given as rho=rho_(0)(1-r//R) , Where rho_(0) is a constant and r is the distance of the point from the center. Assume the permittivies of the ball and the enviroment to be equal to unity. (a) Find the magnitude of the electric field strength as a function of hte distance r both inside and outside the ball. (b) Find the maximum intensity E_("max") and the corresponding distance r_(m) .