Student Login

Home›Chapters›Surface Tension PYQs›Splitting & Merging of Drops›Question 29

JEE Main 2024 (29 Jan, Shift 2) · Splitting & Merging of Drops

Splitting & Merging of Drops question from JEE Main 2024 (29 Jan, Shift 2)

Q29JEE Main 2024 · 29 JAN · SHIFT 2Medium

Splitting & Merging of Drops

A small liquid drop of radius $R$ is divided into 27 identical liquid drops. If the surface tension is $T$ , then the work done in the process will be:

Show answer and solution

Answer: (b)

Use $W = 4\pi R^2 T\left(n^{1/3} - 1\right)$ .
$n = 27 \Rightarrow n^{1/3} = 3$ , so $W = 4\pi R^2 T(2)$
So the answer is (b) $8\pi R^2 T$ .

Report a mistake

More questions on Splitting & Merging of Drops

A big water drop is formed by the combination of ' n ' small water droplets of equal…MHT CET 2024 (11 May, Shift 1)
Let ' n ' is the number of liquid drops, each with surface energy ' E '. These drops join…MHT CET 2024 (9 May, Shift 2)
1000 small water drops of equal size combine to form a big drop. The ratio of final…MHT CET 2023 (14 May, Shift 2)
Eight small drops of mercury each of radius ' r ', coalesce to form a large single drop…MHT CET 2023 (12 May, Shift 2)
A spherical drop of liquid splits into 1000 identical spherical drops. If ' E₁ ' is the…MHT CET 2023 (12 May, Shift 1)
A liquid drop of radius ' R ' is broken into ' n ' identical small droplets. The work…MHT CET 2023 (11 May, Shift 2)
A spherical liquid drop of radius R is divided into 8 equal droplets. If surface tension…MHT CET 2023 (11 May, Shift 1)
A mercury drop of radius 10⁻³ m is broken into 125 equal size droplets. Surface tension…JEE Main 2023 (1 Feb, Shift 1)