Q87 / 90 · JEE Main 2022 (25 Jun Shift 2) · Physics

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

Correct answer: 198

Solution

Figure

Total volume of the drop will remain unchanged,

So,  27×43πr3=43πR3

⇒R=3r

Potential of the small drops, 22=kqr

For bigger drop, potential will be

V=k27q3r=9kqr=9×22=198 V

Hence, the correct answer is 198.

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