Figure shows a cross-section ofa spherical metal shell of inner radius R and out radius ZR. A point charge q is ·located at a distanceR/2 from the centre of the shell. If the shell is electrically neutral, then which of the following statements is/are correct :

Options

A. The electric field at some point inside shell is zero
B. The electric field at all the point inside shell is non-zero
C. The electric field at the outer surface of the shell is `E(1)/(4piepsi)`
`(q)/(3R//2)^(2)`
D. The electrical field at the outer surface is E `=(1)/(4piepsi_(o)`
`=(q)/(2R)^(2)`