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MHT CET 2025 (5 May, Shift 2) · Splitting & Merging of Drops

Splitting & Merging of Drops question from MHT CET 2025 (5 May, Shift 2)

Q16MHT CET 2025 · 5 MAY · SHIFT 2Medium

Splitting & Merging of Drops

A spherical liquid drop splits in to 729 identical spherical drops. If $E$ is the surface energy of the original drop and $U$ is the total surface energy of resulting drops, then $\frac{E}{U} = \frac{1}{x}$ . The value of $x$ is

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Answer: (a)

Volume conserved: $729\, r^3 = R^3 \Rightarrow r = R/9$ .
$U = 729 \cdot 4\pi \frac{R^2}{81} T = 9 \cdot 4\pi R^2 T = 9E$
$\frac{E}{U} = \frac{1}{9} \Rightarrow x = 9$
So the answer is (a) 9.

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