A thin walled spherical conducting shells `S` of radius `R` is given charge `Q`,the same amount of charge is also placed at its centre `C`.Which of the following statements are correct.

Options

A. on the outer surface of `S`, the charge density is `(Q)/(2piR^(2))`
B. The electric field is zero all points inside `S`.
C. At a point just outside `S`, the electric fiels is double the field at a point just inside `S`.
D. At any point inside `S` the electric field is inversely proportional to the square of its distance from `C`.

Answer

A,C,D

Explanation

Charge density at the outer surface is
`(2Q)/(4piR^(2))=(Q)/(2piR^(2))`
`E_("Inside")=(Q)/(4piepsilon_(0)R^(2)),E_("outside")=(2Q)/(4piepsilon_(0)R^(2))E_("outside")=2E_("inside")`