Fluid Mechanics Viscosity Question 323
An air bubble of radius 0.1 cm is in a liquid having surface tension 0.06 N/m and density $ 10^{3}kg/m^{3} $ . The pressure inside the bubble is $ 100N{{m}^{-2}} $ greater than the atmospheric pressure. At what depth is the bubble below the surface of the liquid? ($ g=9.8m{{s}^{-2}} $ )
Options:
A) 1.1m
B) 0.15m
C) 0.20m
D) 0.25m
Show Answer
Answer:
Correct Answer: A
Solution:
[a] Let depth of bubble below the liquid surface, $ h=? $ As we know, $ {\rho_{Excess}}=h\rho g+\frac{2s}{r} $ $ \Rightarrow ,,1100=h\times 10^{3}\times 9.8+\frac{2\times 6\times {{10}^{-2}}}{{{10}^{-3}}} $ $ \Rightarrow ,,,1100=9800h+120\Rightarrow 9800h=1100-120 $ $ \Rightarrow ,,h=\frac{980}{9800}=0.1m $
BETA
