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MHT CET 2024 (11 May, Shift 1) · Splitting & Merging of Drops

Splitting & Merging of Drops question from MHT CET 2024 (11 May, Shift 1)

Q30MHT CET 2024 · 11 MAY · SHIFT 1Medium

Splitting & Merging of Drops

A big water drop is formed by the combination of ' $n$ ' small water droplets of equal radii. The ratio of the surface energy of ' $n$ ' droplets to the surface energy of the big drop is

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Answer: (b)

$n r^3 = R^3 \Rightarrow R = n^{1/3} r$ .
$\frac{E_n}{E_{big}} = \frac{n \cdot 4\pi r^2 T}{4\pi n^{2/3} r^2 T} = n^{1/3}$
So the answer is (b) $\sqrt[3]{n} : 1$ .

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