wave_mechanics basics_of_mechanical_waves Question 26
Question: If the density of oxygen is 16 times that of hydrogen, what will be the ratio of their corresponding velocities of sound waves
[KCET 1999]
Options:
A) 1 : 4
B) 4 : 1
C) 16 : 1
D) 1 : 16
Show Answer
Answer:
Correct Answer: A
Solution:
$ v=\sqrt{\frac{\gamma P}{\rho }}\Rightarrow \frac{{v _{O _{2}}}}{{v _{H _{2}}}}=\sqrt{\frac{{\rho _{H _{2}}}}{{\rho _{o _{2}}}}}=\sqrt{\frac{1}{16}}=\frac{1}{4} $