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 ?
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 ?
- A
On the outer surface of $S$, the charge density is $\frac{Q}{{2\pi {R^2}}}$.
- B
At any point inside $S$, the electric field is inversely proportional to the square of its distance from $C$.
- C
At 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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Statement $I$ : Electric potential is constant within and at the surface of each conductor.
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- [JEE MAIN 2022]