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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.

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