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Q.

The pressure inside an air bubble is (200.5+x) (in kN/m2) of radius 0.1mm that is located at a depth of 10m inside the water. The value of x is____.

Surface tension of water s=0.075 Nm1, density of water ρ=103kgm3, atmospheric pressure  P0=1.0×105Nm2 and g=10.0 ms2

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Detailed Solution

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19. (201.5)
Pressure at depth inside water
P=P0+eηh =1×105+103×10×10=2×105Nm2
Express pressure inside air bubble 
P=2sr=2×0.0750.1×103=1500Nm2
Total pressure  P+P=2×105×1500
= 201.5 K Nm-2
 

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