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Q.

An air bubble of radius 1 mm is formed inside water at a depth 10 m below the surface of water. The pressure inside the bubble is (Surface Tension of water $7 \times 10^{- 2} N m^{- 1};$ atmospheric pressure = $10^{5} N m^{- 2}$ and $g = 10 m s^{- 2}$ )

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a

$2.0014 \times 10^{5} N m^{- 2}$

b

$2.0028 \times 10^{5} N m^{- 2}$

c

$2.28 \times 10^{5} N m^{- 2}$

d

$2.14 \times 10^{5} N m^{- 2}$

answer is D.

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Detailed Solution

Pressure inside the bubble inside water

$P_{0} + h d g + \frac{2 T}{r} = 2 \times 10^{5} + \frac{2 \times 7 \times 10^{- 2}}{10^{- 3}} = 2 \times 10^{5} + 14 \times 10$

=2.0014 $\times 10^{5}$ N/m²

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An air bubble of radius 1 mm is formed inside water at a depth 10 m below the surface of water. The pressure inside the bubble is (Surface Tension of water 7×10−2Nm−1; atmospheric pressure = 105Nm−2 and g=10ms−2 )