Fluid Mechanics Viscosity Question 209
Question: When a large bubble rises from the bottom of a lake to the surface. Its radius doubles. If atmospheric pressure is equal to that of column of water height H, then the depth of lake is [AIIMS 1995; AFMC 1997]
Options:
A)H
B)2H
C)7H
D)8H
Show Answer
Answer:
Correct Answer: C
Solution:
$ P_{1}V_{1}=P_{2}V_{2} $ Þ $ (P_{0}+h+g)\times \frac{4}{3}\pi r^{3} $ =$ P_{0}\times \frac{4}{3}\pi {{(2r)}^{3}} $ Where, h = depth of lake Þ $ h\rho g=7P_{0} $ Þ $ h=7\times \frac{H\rho g}{\rho g}=7H. $
BETA
