An air bubble of radius 1 mm is located at a depth of 20 cm below water level. The excess pressure inside the bubble above the atmospheric pressure is [Given, the surface tension of water is 0 . 075 N

Question

An air bubble of radius 1 mm is located at a depth of 20 cm below water level. The excess pressure inside the bubble above the atmospheric pressure is [Given, the surface tension of water is 0 . 075 Nm - 1 and density is 1000 kg m - 3 ]

TestHub · Accepted Answer

Let the atmospheric pressure be P 0 Pressure just outside the bubble, P = P 0 + hρg Pressure of air inside the bubble P in = R + 2 σ r ; σ is surface tension P in = P 0 + hρg + 2 σ r ∴ P ' - P 0 = 1 5 × 1000 × 9 . 8 + 2 × 0 . 075 1 × 10 - 3 = 1960 + 150 = 2110 Pa

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