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Question: The pressure inside a small air bubble of radius 0.1mm situated just below the surface of water will...

The pressure inside a small air bubble of radius 0.1mm situated just below the surface of water will be equal to(Take surface tension of water 70×103Nm170 \times 10^{- 3}Nm^{- 1} and atmospheric pressure =1.013×105Nm2= 1.013 \times 10^{5}Nm^{- 2})

A

2.054×103Pa2.054 \times 10^{3}Pa

B

1.027×103Pa1.027 \times 10^{3}Pa

C

1.027×105Pa1.027 \times 10^{5}Pa

D

2.054×105Pa2.054 \times 10^{5}Pa

Answer

1.027×105Pa1.027 \times 10^{5}Pa

Explanation

Solution

Pressure inside a bubble when it is in a liquid =Po+2TR=1.013×105+2×70×1030.1×103=1.027×105= P_{o} + \frac{2T}{R} = 1.013 \times 10^{5} + 2 \times \frac{70 \times 10^{- 3}}{0.1 \times 10^{- 3}} = 1.027 \times 10^{5}Pa