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MHT CET 2025 (20 Apr, Shift 1) · Electric Potential & Equipotentials

Electric Potential & Equipotentials question from MHT CET 2025 (20 Apr, Shift 1)

Q31MHT CET 2025 · 20 APR · SHIFT 1Easy

Electric Potential & Equipotentials

' n ' small spherical drops of same size which are charged to ' $V$ ' volt each coalesce to form a single big drop. The potential of the 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) $n^{2/3}\cdot V$ .

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