A thin-walled, spherical conducting shell $S$ 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 ? 
  • AOn the outer surface of $S$, the charge density is $\frac{Q}{{2\pi {R^2}}}$.
  • BAt any point inside $S$, the electric field is inversely proportional to the square of its distance from $C$.
  • CAt a point just outside $S,$ the electric field is double the field at a point just inside $S.$
  • D
    all of the above
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