Kinetic Theory Of Gases Question 65
Question: An air bubble of volume $ V _{0} $ is released by a fish at a depth h in a lake. The bubble rises to the standard atmospheric pressure above the lake. The volume of the bubble just before touching the surface will be (density of water is p)
Options:
A) $ V _{0} $
B) $ V _{0}( \rho gh/p ) $
C) $ N _{2} $
D) $ V _{0}( 1+\frac{\rho gh}{p} ) $
Show Answer
Answer:
Correct Answer: D
Solution:
[d] As the bubble rises the pressure gets reduced for constant temperature, if P is the standard atmospheric pressure, then $ (P+\rho gh)V _{0}=PV $
$ \text{or }V=V _{0}( 1+\frac{\rho gh}{P} ) $
BETA
