Properties Of Solids And Liquids Question 314
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} $ therefore$ (H+h)\rho g\times \frac{4}{3}\pi r^{3} $
$ =H\times \frac{4}{3}\pi {{(2r)}^{3}} $
$ \Rightarrow H+h=8H $ \ $ h=7H $
