QJEEM22Ph345c: JEE Main 2022 Physics - Class 12 JEEM22Ph345c Solution: 27 identical drops are charged at 22V each. They combine to…

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27 identical drops are charged at 22V each. They combine to form a bigger drop. The potential of the bigger drop will be _____________ V.

Accepted Answer

Let the charge on one drop is q and its radius is r.

So for one drop $V = \frac{k q}{r}$

For 27 drops merged new charge will be Q = 27 q and new radius is R = 3r

So new potential is

$V^{'} = \frac{k Q}{R} = 9 \frac{k q}{r} = 9 \times 22$ V

= 198 V

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