Home
Class 11
PHYSICS
A sphere of radius R has its centre at t...

A sphere of radius `R` has its centre at the origin. It has a uniform mass density `rho_(0)` except that there is a spherical hole of radius `r=R//2` whose centre is at `x=R//2` as in fig (a) find gravitational field at points on the axis for `xgtR` (ii) Show that the gravitational field inside the hole is uniform, find its magnitude and direction.

Promotional Banner

Similar Questions

Explore conceptually related problems

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 uniform metal sphere of radius R and mass m is surrounded by a thin uniform spherical shell of same mass and radius 4R . The centre of the shell C falls on the surface of the inner sphere. Find the gravitational fields at points A and B .

A uniform metal sphere of radius R and mass m is surrounded by a thin uniform spherical shell of same mass and radius 4R . The centre of the shell C falls on the surface of the inner sphere. Find the gravitational fields at points A and B .

A uniform metal sphere of radius R and mass m is surrounded by a thin uniform spherical shell of same mass and radius 4R . The centre of the shell C falls on the surface of the inner sphere. Find the gravitational fields at points A and B .

A sphere of radius 2R and mas M has a spherical cavity of radius R as shown in the figure. Find the value of gravitational field at a point P at a distance of 6R from centre of the sphere.

A sphere of radius 2R and mas M has a spherical cavity of radius R as shown in the figure. Find the value of gravitational field at a point P at a distance of 6R from centre of the sphere.

The uniform solid sphere shown in the figure has a spherical hole in it. Find the position of its centre of mass.