An isolated non-conducting solid sphere of radius R is given an electric charge. The charge is uniformly distributed in the volume of sphere. The graph which shows the correct variation of magnitude of electric field with distance from the centre of the sphere is

Options

A.
B.
C.
D.

Answer

A

Explanation

The electric field intensity at a point lying outside the sphere (non-conducting) is
`E = (1)/(4pi epsilon_(0)). (q)/(r^(2))`
`E prop (1)/(r^(2))`
The electric field intensity at the surface (r = R),
`E = (1)/(4piepsilon_(0)) (q)/(R^(2)) implies E prop (1)/(R^(2))`
where, R being the radius of sphere, The electric field intensity inside the sphere is
`E = (qr)/(4 pi epsilon_(0) R^(3)) implies E prop r`
At the centre of sphere, r = 0, `:.` E = 0