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In a liquid threr is air bubble of radiu...

In a liquid threr is air bubble of radius 1 mm at a depth 10 cm below the free space. The surface tension of liquid `0.075n//m` and density is `1000 kg//m^(2)` . By what amout is the pressure indide the bubble greater than the atmospheric preesure ?

A

1130 pascal

B

1200 pascal

C

1100 pascal

D

1000 pascal

Text Solution

Verified by Experts

Let atmospheric pressure is `p_(0)`
Pressure of liquid of just outside the bubble is `p'=p_(0)+hdg`
Pressure of liquid indside the bubble
`p'=p+(2T)/(r)=p_(0)+hdg+(2T)/(r)`
`p'-p_(0)=(1)/(10)xx1000xx9.8+(2xx0.075)/(1xx10^(-3)`
`p'-p_(0)=1130 Pa`
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