Kinetic Theory Of Gases Question 60
Question: The temperature of an air bubble while rising from bottom to surface of a lake remains constant but its diameter is doubled if the pressure on the surface is equal to h meter of mercury column and relative density of mercury is $ \rho $ then the depth of lake in meter is
Options:
A) $ 2\rho h $
B) $ 4\rho h $
C) $ 8\rho h $
D) $ 7\rho h $
Show Answer
Answer:
Correct Answer: D
Solution:
[d] From Boyle’s law (T= constant) $ P _{1}V _{1}=P _{2}V _{2} $
$ \
Therefore ( Hd _{waer}+hd _{mercury} )g( \frac{4}{3}\pi r^{3} ) $
$ =hd _{mercury}g( \frac{4}{3}\pi {{( 2r )}^{3}} ) $
$ \Rightarrow Hd _{water}=8hd _{mercury}-hd _{mercury} $
$ \Rightarrow H=7h\frac{d _{mercury}}{d _{water}} $
$ \
Therefore H=7hp $
BETA
