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MHT CET 2023 (12 May, Shift 2) · Splitting & Merging of Drops

Splitting & Merging of Drops question from MHT CET 2023 (12 May, Shift 2)

Q33MHT CET 2023 · 12 MAY · SHIFT 2Easy

Splitting & Merging of Drops

Eight small drops of mercury each of radius ' $r$ ', coalesce to form a large single drop. The ratio of total surface energy before and after the change is

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Answer: (a)

Volume conserved: $R = 8^{1/3}r = 2r$ .
$E_{before} = 8 \times 4\pi r^2 T = 32\pi r^2 T$ , $E_{after} = 4\pi(2r)^2 T = 16\pi r^2 T$
$E_{before} : E_{after} = 2 : 1$
So the answer is (a) $2:1$ .

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