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Depth of a lake when an air bubble doubles its radius on rising to the surface

The same question, asked 3 times: 9 May 2023 S1, 20 Apr 2025 S2*, 13 May 2026 S2. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    9 May 2023 S1

    22
    When an air bubble rises from the bottom of a lake to the surface, its radius is doubled. The atmospheric pressure is equal to that of a column of water of height HH. The depth of the lake is

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  2. Question 2

    20 Apr 2025 S2

    24
    The temperature of an air bubble while rising from bottom to surface of a lake remains constant but diameter is doubled. If pressure on the surface is h meter of mercury column and relative density of mercury is ' ρ\rho ' then the depth of the lake is

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  3. Question 3

    13 May 2026 S2

    111
    When a large bubble rises from bottom of a water lake to its surface, then its radius doubles. If the atmospheric pressure is equal to the pressure of height HH of a certain water column then the depth of lake will be

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