Q 12-02-112JEE MainJEE Main 2022 (25 Jun, Shift 2)Easy
$27$ identical drops are charged at $22\ \text{V}$ each. They combine to form a bigger drop. The potential of the bigger drop will be ______ V.
Numerical value type. Enter your answer.
Answer: 198
Volume conservation: $R = 27^{1/3}r = 3r$. Total charge $= 27q$.
$$V = \frac{k(27q)}{3r} = 9\frac{kq}{r} = 9\times22 = 198\ \text{V}$$
Solution by Sreeraj P, M.Sc Physics