If n drops of the same size and same potentia | vedclass

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(D) Let $r$ be the radius of each small drop and $R$ be the radius of the large drop. The charge on each small drop is $q$ and the charge on the large

Vedclass · Accepted Answer

$n^{2/3}V$

Vedclass · Answer

(D) Let $r$ be the radius of each small drop and $R$ be the radius of the large drop. The charge on each small drop is $q$ and the charge on the large drop is $Q = nq$.Since the volume is conserved:$\frac{4}{3} \pi R^3 = n 	imes \frac{4}{3} \pi r^3$$R^3 = n r^3 \implies R = n^{1/3} r$The potential of a small drop is $V = \frac{kq}{r}$.The potential of the large drop is $V' = \frac{kQ}{R}$.Substituting $Q = nq$ and $R = n^{1/3} r$:$V' = \frac{k(nq)}{n^{1/3}r} = n^{1 - 1/3} \left( \frac{kq}{r} ight)$$V' = n^{2/3} V$.

If $n$ drops of the same size and same potential $V$ coalesce to form a single large drop,then the potential of the large drop will be .........

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