Show by the priciple of superpostion that is a cavity is removed from a uniformly chaged sphere the field inside the cavity is `rhovec(a//3epsi_(0)` where `rho` is the centre ofchnages and `veca` is the vector from the centre of the sphere to the centre of the cavity.

A metallic sphere of diameter D has a cavity of diameter d at its centre. If the sphere is heated, the diameter of the cavity will:

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.

There is a uniformly charged non-conducting solid sphere. A spherical cavity is made whose centre does not coincide with the centre of solid sphere. Electric field intensity inside the cavity is

A uniform solid sphere of radius R has a cavity of radius 1m cut from it if centre of mass of the system lies at the periphery of the cavity then

For a uniformly charged non conducting sphere of radius R which of following shows a correct graph between the electric field intensity and the distance from the centre of sphere –

A cavity of radius R//2 is made inside a solid sphere of radius R . The centre of the cavity is located at a distance R//2 from the centre of the sphere. The gravitational force on a particle of a mass 'm' at a distance R//2 from the centre of the sphere on the line joining both the centres of sphere and cavity is (opposite to the centre of cavity). [Here g=GM//R^(2) , where M is the mass of the solide sphere]