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MHT CET 2026 (20 May, Shift 1) · Splitting & Merging of Drops

Splitting & Merging of Drops question from MHT CET 2026 (20 May, Shift 1)

Q3MHT CET 2026 · 20 MAY · SHIFT 1Easy

Splitting & Merging of Drops

$729$ water droplets of equal radii combine to form a big drop. The ratio of final surface energy to the total initial surface energy is

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Answer: (d)

Merging $n$ drops: $R = n^{1/3}r$ .
$\dfrac{E_f}{E_i} = \dfrac{4\pi R^2 T}{n \cdot 4\pi r^2 T} = \dfrac{n^{2/3}}{n} = \dfrac{1}{n^{1/3}}$
$\dfrac{E_f}{E_i} = \dfrac{1}{9}$
So the answer is (d) $1:9$ .

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