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Pressure inside an air bubble at a depth in a liquid

This type of question, asked 3 times: 15 Apr 2023, 23 Jan 2025, 24 Jan 2025. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    15 Apr 2023

    28
    There is an air bubble of radius 1.0 mm1.0\text{ }mm in a liquid of surface tension 0.075Nm−10.075Nm^{- 1} and density 1000 kg1000\text{ }kg m−3m^{- 3} at a depth of 10 cm10\text{ }cm below the free surface. The amount by which the pressure inside the bubble is greater than the atmospheric pressure is _____Pa (g=10 ms−2)\left( g = 10{\text{ }ms}^{- 2} \right)

  2. Question 2

    23 Jan 2025

    96
    An air bubble of radius 1.0 mm is observed at a depth of 20 cm below the free surface of a liquid having surface tension 0.095 J/m20.095\text{ }J/m^{2} and density 103 kg/m310^{3}\text{ }kg/m^{3}. The difference between pressure inside the bubble and atmospheric pressure ____N/m2\_\_\_\_N/m^{2}. (Take g=10 m/s2g = 10\text{ }m/s^{2} )

  3. Question 3

    24 Jan 2025

    3
    An air bubble of radius 0.1 cm lies at a depth of 20 cm below the free surface of a liquid of density 1000 kg/m31000\text{ }kg/m^{3}. If the pressure inside the bubble is 2100 N/m22100\text{ }N/m^{2} greater than the atmospheric pressure, then the surface tension of the liquid in SI unit is (use g=10 m/s2g = 10\text{ }m/s^{2} )

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