Shown in the figure is a shell made of a conductor. It has inner radius a and outer radius b, and carries charge Q. At its centre is a dipole p ⃗ \vec{p} p ​ as shown. In this case

Options

• Option A

  Electric field outside the shell is the same as that of a point charge Q at the centre.

• Option B

  Surface charge density on the inner surface is zero everywhere.

• Option C

  Surface charge density on the inner surface is uniform and equal to $\frac{\frac{Q}{2}}{4\pi a^2}$

• Option D

  Surface charge density on the outer surface depends on $\left\vert\vec{p}\right\vert$