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Identical charged drops merge into one big drop: potential, energy or charge density

This type of question, asked 5 times: 2021 Paper 26, 25 Jun 2022, 26 Jun 2022, 12 Apr 2023, 22 Jan 2026 S2. All 5 questions below, oldest first.

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  1. Question 1

    2021 Paper 26

    28
    27 similar drops of mercury are maintained at 10 V10\text{ }V each. All these spherical drops combine into a single big drop. The potential energy of the bigger drop is ____\_\_\_\_ times that of a smaller drop.

  2. Question 2

    25 Jun 2022

    117
    27 identical drops are charged at 22 V22\text{ }V each. They combine to form a bigger drop. The potential of the bigger drop will be ____\_\_\_\_ V.

  3. Question 3

    26 Jun 2022

    100
    Sixty- four conducting drops each of radius 0.02 m0.02\text{ }m and each carrying a charge of 5μC5\mu C are combined to form a bigger drop. The ratio of surface density of bigger drop to the smaller drop will be:

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  4. Question 4

    12 Apr 2023

    30
    64 identical drops each charged upto potential of 10mV10mV are combined to form a bigger drop. The potential of the bigger drop will be___ mVmV.

  5. Question 5

    22 Jan 2026 S2

    5
    Three small identical bubbles of water having same charge on each coalesce to form a bigger bubble. Then the ratio of the potentials on one initial bubble and that on the resultant bigger bubble is :

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