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 and density . The difference between pressure inside the bubble and atmospheric pressure ________ . (Take g = 10 ) [20

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Solution

Q.
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 $J / m^{2}$ and density $10^{3} kg / m^{3}$ . The difference between pressure inside the bubble and atmospheric pressure ________ $N / m^{2}$ . (Take g = 10 $m / s^{2}$ ) [2025]

Ans.
(2190)

$△ P = P_{in} - P_{0}$

$= ρ g h + \frac{2 T}{R} = \frac{1000 \times 10 \times 20}{100} + \frac{2 \times 0.095}{10^{- 3}}$

$= 2000 + 190 = 2190 Pa$

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