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MHT CET 2026 (13 Apr, Shift 2) · Splitting & Merging of Drops

Splitting & Merging of Drops question from MHT CET 2026 (13 Apr, Shift 2)

Q6MHT CET 2026 · 13 APR · SHIFT 2Medium

Splitting & Merging of Drops

A spherical drop of liquid splits into $1000$ identical spherical drops. If $u_i$ is the surface energy of the original drop and $u_f$ is the total surface energy of the resulting drops, the (ignoring evaporation). $u_f/u_i = (10/x)$ . Then value of $x$ is

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Answer: (a)

Volume conserved: $1000\, r^3 = R^3 \Rightarrow r = R/10$ .
$u_f = 1000 \cdot 4\pi \left(\frac{R}{10}\right)^2 T = 10 \cdot 4\pi R^2 T = 10\, u_i$
$\frac{u_f}{u_i} = 10 = \frac{10}{x} \Rightarrow x = 1$
So the answer is (a) $1$ .

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