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MHT CET 2023 (13 May, Shift 1) · Electric Potential & Equipotentials

Electric Potential & Equipotentials question from MHT CET 2023 (13 May, Shift 1)

Q65MHT CET 2023 · 13 MAY · SHIFT 1Medium

Electric Potential & Equipotentials

A charged spherical conductor of radius ' $R$ ' is connected momentarily to another uncharged spherical conductor of radius ' $r$ ' by means of a thin conducting wire, then the ratio of the surface charge density of the first to the second conductor is

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Answer: (c)

After connection the potentials are equal, so $q \propto$ radius.
$\sigma = \frac{q}{4\pi r^2} \propto \frac{r}{r^2} = \frac{1}{r}$
$\frac{\sigma_R}{\sigma_r} = \frac{r}{R}$
So the answer is (c) $r : R$ .

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