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A drop splits into N equal droplets: total surface energy of the droplets compared with the drop

The same question, asked 6 times: 16 May 2023 S2*, 12 May 2024 S1, 20 Apr 2025 S1, 20 Apr 2025 S2*, 11 Apr 2026 S2*, 13 Apr 2026 S2. Every wording below, oldest first.

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  1. Question 1

    16 May 2023 S2

    36
    A liquid drop having surface energy EE is spread into 512 droplets of same size. The final surface energy of the droplets is

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  2. Question 2

    12 May 2024 S1

    18
    A spherical drop of liquid splits into 1000 identical spherical drops. If E1E_{1} is the surface energy of the original drop and E2E_{2} is the total surface energy of the resulting drops, then E1E2=x10\frac{E_{1}}{E_{2}}=\frac{x}{10}. Then value of xx is

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  3. Question 3

    20 Apr 2025 S1

    26
    The surface energy of a liquid drop is ' VV '. It is sprayed into 1000 equal droplets. The surface energy of all the droplets is

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  4. Question 4

    20 Apr 2025 S1

    32
    A liquid drop having surface energy E is spread into 729 droplets of same size. The final surface energy of the droplets is

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  5. Question 5

    20 Apr 2025 S2

    46
    A liquid drop having surface energy EE is sprayed into 512 droplets of same size. The final surface energy is

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  6. Question 6

    11 Apr 2026 S2

    109
    A liquid drop having surface energy E is sprayed into 512512 droplets of the same size. Then the final surface energy is

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  7. Question 7

    13 Apr 2026 S2

    111
    A spherical drop of liquid splits into 10001000 identical spherical drops. If uiu_i is the surface energy of the original drop and ufu_f is the total surface energy of the resulting drops, the (ignoring evaporation). uf/ui=(10/x)u_f/u_i = (10/x). Then value of xx is

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