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MHT CET 2025 (25 Apr, Shift 1) · Electric Potential & Equipotentials

Electric Potential & Equipotentials question from MHT CET 2025 (25 Apr, Shift 1)

Q30MHT CET 2025 · 25 APR · SHIFT 1Easy

Electric Potential & Equipotentials

' $n$ ' identical small spherical drops of water, each of radius ' $r$ ' and charged to the same potential ' v ' are combined to form a big drop. The potential of a big drop is

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Answer: (d)

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 (d) $n^{2/3}v$ .

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