JEE Main 2022 · PhysicsNumerical answerNumerical valueMediumCalculation

JEE Main 30 July 2022, Shift 2, Physics Q27

Question 27 of 90 in this shift, Physics question 27 of 30, Section B.

A water drop of radius 1 cm is broken into eight equal droplets. Surface tension of water is 0.075 N m

^{-1}

. The gain in surface energy is __________

\times10^{-7}

J. (Take

\pi

= 3.14)

Official answer

942

NTA final key.

Chapter: Mechanical Properties of Fluids
Topic: Surface Tension
Idea tested: Splitting and Coalescence

Same idea in other shifts

Asked 10× in all

2 Apr 2026, Shift 1 · Q45A liquid drop of diameter $2$ mm breaks into $512$ droplets. The change in surface energy is $\alpha\times10^{-6}$ J. The value of…EasySingle correct
5 Apr 2026, Shift 2 · Q33Eight mercury drops, each of radius $r$ , coalesce to form a bigger drop. The surface energy released in this process is __________. (S is…EasySingle correct
2 Apr 2025, Shift 2 · Q31Two water drops each of radius $r$ coalesce to form a bigger drop. If $T$ is the surface tension, the surface energy released in this…EasySingle correct
6 Apr 2024, Shift 1 · Q54A big drop is formed by coalescing 1000 small droplets of water. The ratio of surface energy of 1000 droplets to that of energy of big…EasyNumerical value
1 Feb 2024, Shift 2 · Q37A big drop is formed by coalescing 1000 small droplets of water. The surface energy will become :EasySingle correct
30 Jan 2024, Shift 2 · Q53A big drop is formed by coalescing 1000 small identical drops of water. If $E_1$ be the total surface energy of 1000 small drops of water…EasyNumerical value
26 Jul 2022, Shift 1 · Q45A water drop of radius 1 cm is broken into 729 equal droplets. If surface tension of water is 75 dyne/cm, then the gain in surface energy…MediumSingle correct
28 Jun 2022, Shift 1 · Q36A water drop of diameter 2 cm is broken into 64 equal droplets. The surface tension of water is 0.075 N/m. In this process the gain in…MediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.