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MHT CET 2024 (16 May, Shift 2) · Electric Potential & Equipotentials

Electric Potential & Equipotentials question from MHT CET 2024 (16 May, Shift 2)

Q45MHT CET 2024 · 16 MAY · SHIFT 2Easy

Electric Potential & Equipotentials

' $n$ ' small drops of same size are charged to ' $V$ ' volt each. If they coalesce to form a single large drop, then its potential will be

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Answer: (b)

Charge is conserved: $Q = nq$ ; volume is conserved: $\frac{4}{3}\pi R^3 = n\cdot\frac{4}{3}\pi r^3 \Rightarrow R = n^{1/3}r$
$V' = \frac{kQ}{R} = \frac{knq}{n^{1/3}r} = n^{2/3}V$
So the answer is (b) $Vn^{2/3}$ .

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