The electrostatic potential on the surface of uniformly charged spherical shell of radius \(\mathrm{R}=10 \mathrm{~cm}\) is 120 V. The potential at the centre of shell, at a distance \(\mathrm{r}=5 \mathrm{~cm}\) from centre, and at a distance \(\mathrm{r}=15 \mathrm{~cm}\) from the centre of the shell respectively, are :

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Answer & Solution

Correct Answer

(A) \(120 \mathrm{~V}, 120 \mathrm{~V}, 80 \mathrm{~V}\)

Step-by-step Solution

Detailed explanation

Potential inside shell is equal to potential on surface
\(\mathrm{V}_{\mathrm{in}}=\mathrm{V}_{\text {surface }}=\frac{\mathrm{kQ}}{\mathrm{R}}=120 \mathrm{~V}\)
at \(\mathrm{r}=15 \mathrm{~cm}\)
\(\mathrm{V}=\frac{\mathrm{kQ}}{\mathrm{r}}=\frac{120 \times 10}{15}=80 \mathrm{~V}\)

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