Q.

The pressure in air bubble just below the water surface is (Surface tension of liquid is 72dyne cm-1 and atmospheric pressure = 1.0×105Nm-2, Radius of bubble = 0.1mm)

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a

2.0274×105 Nm-2 

b

1.0144×105Nm-2 

c

3.0274×105Nm-2

d

Zero 

answer is A.

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Detailed Solution

Given,

Radius of bubble = 0.1mm

surface tension = σ=72dyne/cm=72×10-3N/m

As bubble is just below the water surface so there will be only one transition of medium that is water to air,

Thus the pressure difference is 

P=2Sr

P-P0=2(72×10-3)0.1×10-3

P=1440+1×105=(1+0.0144)×105=1.0144×105Nm-2

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