Change in surface energy when a drop splits into droplets or droplets coalesce
This type of question, asked 10 times: 2021 Paper 25, 28 Jun 2022, 26 Jul 2022, 31 Jan 2023, 1 Feb 2023, 29 Jan 2024, 24 Jan 2025, 2 Apr 2025, 2 Apr 2026 S1, 5 Apr 2026 S2. All 10 questions below, oldest first.
Try each one first, then open its answer.
Question 1
2021 Paper 25
15A large number of water drops, each of radius , combine to have a drop of radius . If the surface tension is and mechanical equivalent of heat is , the rise in heat energy per unit volume will be:Tap an option to check your answer.
Question 2
28 Jun 2022
6A water drop of diameter is broken into 64 equal droplets. The surface tension of water is . In this process the gain in surface energy will be:Tap an option to check your answer.
Question 3
26 Jul 2022
15A water drop of radius is broken into 729 equal droplets. If surface tension of water is , then the gain in surface energy upto first decimal place will be: [Given ]Tap an option to check your answer.
Question 4
31 Jan 2023
9If 1000 droplets of water of surface tension , having same radius each, combine to form a single drop. In the process the released surface energy is- (Take )Tap an option to check your answer.
Question 5
1 Feb 2023
3A mercury drop of radius is broken into 125 equal size droplets. Surface tension of mercury is . The gain in surface energy is:Tap an option to check your answer.
Question 6
29 Jan 2024
101A small liquid drop of radius is divided into 27 identical liquid drops. If the surface tension is T, then the work done in the process will be :Tap an option to check your answer.
Question 7
24 Jan 2025
7The amount of work done to break a big water drop of radius ' R ' into 27 small drops of equal radius is 10 J . The work done required to break the same big drop into 64 small drops of equal radius will be :-Tap an option to check your answer.
Question 8
2 Apr 2025
79Two water drops each of radius ' ' coalesce to form a bigger drop. If ' T ' is the surface tension, the surface energy released in this process is :Tap an option to check your answer.
Question 9
2 Apr 2026 S1
20A liquid drop of diameter 2 mm breaks into 512 droplets. The change in surface energy is . The value of is . (Take surface tension of liquid )Tap an option to check your answer.
Question 10
5 Apr 2026 S2
8Eight mercury drops, each of radius , coalesce to form a bigger drop. The surface energy released in this process is . (S is the surface tension of mercury).Tap an option to check your answer.