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Terminal velocity of the big drop formed when identical falling drops coalesce

The same question, asked 8 times: 9 May 2023 S2*, 11 May 2023 S2*, 19 Apr 2025 S2*, 26 Apr 2025 S1*, 11 Apr 2026 S1*, 12 May 2026 S2*, 19 May 2026 S1*, 19 May 2026 S2. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    9 May 2023 S2

    49
    Two identical drops of water are falling through air with steady velocity 'V'. If the two drops come together to form a single drop. The new velocity of the single drop is

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  2. Question 2

    11 May 2023 S2

    16
    Two rain drops of same radius are falling through air each with a steady speed of 5 cm/s. If the drops coalesce, the new steady velocity of big drop will be

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  3. Question 3

    19 Apr 2025 S2

    8
    nn small water drops of the same size (radius rr) fall through air with constant terminal velocity VV. They coalesce to form a big drop of radius RR. The terminal velocity of the big drop is

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  4. Question 4

    26 Apr 2025 S1

    10
    125 small water drops of same size fall through air with constant velocity 4 cm/s4\,\text{cm/s}. They coalesce to form a big drop. The terminal velocity of the big drop is

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  5. Question 5

    11 Apr 2026 S1

    109
    Two rain drops of same radius 'rr' falling with same terminal velocity 'VV' merge and form bigger drop of radius 'RR'. The terminal velocity of big drop is

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  6. Question 6

    12 May 2026 S2

    110
    ′n′'n' small drops of water having same size fall through air with constant velocity 44 cm/s. They coalesce to form a big drop. The terminal velocity of the big drop is

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  7. Question 7

    19 May 2026 S1

    111
    'nn' identical small drops of water are falling down vertically through a medium each with a terminal velocity 'vv'. If they combine to form a single drop, then its terminal velocity is xvxv. The value of xx is

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  8. Question 8

    19 May 2026 S2

    110
    A tiny water droplet falls through the air at a uniform terminal speed of 11 cm/s. If 2727 such identical droplets coalesce to form a single larger drop, what will be the new terminal velocity of the resulting drop, assuming the air remains the same?

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