If the earth were a homogeneous sphere of radius R and a straight hole bored in it through its centre, show that a body dropped into the hole will execute SHM and find its time period.

If the earth were a homegeneous sphere and a straight hole was bored in it through its centre, so when a body is dropped in the hole, it will excutes SHM. Determine the time period of its oscillation . Radius of the earth is 6.4 xx 10^(5) m and g=9.8 ms^(-2)

A tunnel has been dug through the centre of the earth and a ball is released in it. It executes S.H.M. with time period

The moment of inertia of a sphere of radius R about an axis passing through its centre is proportional to-

The M.I. of the solid sphere of density 'rho' and radius 'R' about an axis passing through its centre is given by

if the earth is treated as a sphere of radius Radn mass M, Its angular momentum about the axis of its rotation with period T, is

Assuming the earth to be a homogeneous sphere of radius R , its density in terms of G (constant of gravitation) and g (acceleration due to gravity on the surface of the earth)

Water from a tap, maintained at a costant potential V, is allolwed to fall by drops of radius r through a small hole into a hollow conducting sphere of radius R standing on an insulating stand until it fills the entire sphere. Find the potential of the hollow conductor after it is completely filled with water.