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(C) Let the radius of each small drop be $r$ and its charge be $q$. The potential of a small drop is $V' = \frac{kq}{r}$.When $8$ drops combine to for

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$5$

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(C) Let the radius of each small drop be $r$ and its charge be $q$. The potential of a small drop is $V' = \frac{kq}{r}$.When $8$ drops combine to form a large drop of radius $R$ and charge $Q$, the volume remains constant: $\frac{4}{3} \pi R^3 = 8 	imes \frac{4}{3} \pi r^3$, which gives $R = 2r$.The total charge of the large drop is $Q = 8q$.The potential of the large drop is $V = \frac{kQ}{R} = \frac{k(8q)}{2r} = 4 \left( \frac{kq}{r} ight) = 4V'$.Given $V = 20 \,V$, we have $20 = 4V'$.Therefore, $V' = \frac{20}{4} = 5 \,V$.

The potential of a large liquid drop formed when eight identical small liquid drops are combined is $20 \,V$. What was the potential of each single small drop (in $\,V$)?

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