Wave Mechanics Question 637
Question: The velocity of sound in hydrogen is $ 1224m/s $ . Its velocity in a mixture of hydrogen and oxygen containing 4 parts by volume of hydrogen and 1 part oxygen is
Options:
A) $ 1224m/s~ $
B) $ 612m/s $
C) $ 2448m/s~ $
D) $ 306m/s $
Show Answer
Answer:
Correct Answer: B
Solution:
[b] If $ {\rho _{H}}=1 $ then $ {\rho _{mix}}=\frac{4\times 1+1\times 16}{(4+1)}=4 $
$ \frac{v _{mix}}{v _{H}}=\sqrt{\frac{{\rho _{H}}}{{\rho _{mix}}}}=\sqrt{\frac{1}{4}}=\frac{1}{2} $
$ v _{mix}=\frac{v _{H}}{2}=\frac{1224}{2}=612m/s $
BETA
