PYQ Vault

Work done or energy released when a drop splits into droplets or drops merge

This type of question, asked 13 times: 9 May 2023 S2, 15 May 2023 S1, 10 May 2024 S2, 11 May 2024 S1, 11 May 2024 S2, 19 Apr 2025 S1, 22 Apr 2025 S2, 26 Apr 2025 S2, 13 Apr 2026 S1, 19 Apr 2026 S1, 19 Apr 2026 S2, 13 May 2026 S1, 15 May 2026 S2. All 14 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    9 May 2023 S2

    28
    The work done in splitting a water drop of radius R into 64 droplets is (T = Surface tension of water)

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  2. Question 2

    9 May 2023 S2

    16
    Let 'n' is the number of liquid drops, each with surface energy 'E'. These drops join to form single drop. In this process

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  3. Question 3

    15 May 2023 S1

    5
    When a mercury drop of radius RR splits up into 1000 droplets of radius rr, the change in surface energy is (T=T = surface tension of mercury)

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  4. Question 4

    10 May 2024 S2

    46
    'nn' number of liquid drops each of radius 'rr' coalesce to form a single drop of radius 'RR'. The energy released in the process is converted into the kinetic energy of the big drop so formed. The speed of the big drop is [T=T= surface tension of liquid, ρ=\rho= density of liquid]

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  5. Question 5

    11 May 2024 S1

    15
    A spherical liquid drop of radius RR is divided into 8 equal droplets. If surface tension is S, then the work done in this process will be

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  6. Question 6

    11 May 2024 S2

    5
    A liquid drop of radius 'R' is broken into 'n' identical small droplets. The work done is [T=T = surface tension of the liquid]

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  7. Question 7

    19 Apr 2025 S1

    41
    When a big drop of water is formed from ' nn ' small drops of water, the energy loss is ' 3 E ' where ' EE ' is the energy of the bigger drop. The radius of the bigger drop is ' RR ' and that of smaller drop is ' rr ' then the value of ' nn ' is

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  8. Question 8

    22 Apr 2025 S2

    25
    The energy needed for breaking a liquid drop of radius ' RR ' into ' nn ' droplets each of radius ' rr ' is [ T=T = surface tension of the liquid]

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  9. Question 9

    26 Apr 2025 S2

    10
    The work done in splitting a water drop of radius RR into 64 droplets is ( T=T= surface tension of water)

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  10. Question 10

    13 Apr 2026 S1

    112
    The work done in splitting a water drop of radius 'R' into 64 droplets is (T is the surface tension of water)

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  11. Question 11

    19 Apr 2026 S1

    109
    One large soap bubble of diameter 'D' breaks into 6464 bubbles having surface tension 'T'. The change in surface energy is

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  12. Question 12

    19 Apr 2026 S2

    110
    The energy needed for breaking a liquid drop of radius 'R' into 'n' droplets each of radius 'r' is [ TT = surface tension of the liquid]

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  13. Question 13

    13 May 2026 S1

    109
    When a big drop of water is formed from n small drops of water, the energy loss is 3E, where E is the energy of the big drop. If R is the radius of big drop and r is the radius of the smaller drop then number of smaller drops n is

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  14. Question 14

    15 May 2026 S2

    112
    Two water drops each of radius rr coalesce to form a big drop. If TT is the surface tension, the surface energy released in this process is 4πr2Tx4\pi r^2Tx. The value of xx is

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