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An air bubble of radius r in water is at...

An air bubble of radius `r` in water is at a depth `h` below the water surface at some instant. If `P` is atmospheric pressure, `d` and `T` are density and surface tension of water respectively . the pressure inside the bubble will be :

A

`P + h dg - (4T)/(r)`

B

`P + h dg +(2T)/(r)`

C

`P + h dg - (2T)/(r)`

D

`P + h dg - (4T)/(r)`

Text Solution

Verified by Experts

The correct Answer is:
B

`P_("inside bubble") - P_(A) = (2T)/(r)`
and `P_(A) = P_("atm") + dgh`.
`rArr P_("inside bubble") = P + dgh + (2T)/(r)`
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