Wave Mechanics Question 78
Question: Velocity of sound measured in hydrogen and oxygen gas at a given temperature will be in the ratio
[RPET 2001; UPSEAT 2001; KCET 2002, 05]
Options:
A) 1 : 4
B) 4 : 1
C) 2 : 1
D) 1 : 1
Show Answer
Answer:
Correct Answer: B
Solution:
$ v\propto \frac{1}{\sqrt{M}}\Rightarrow \frac{{v _{H _{2}}}}{{v _{O _{2}}}}=\sqrt{\frac{{M _{O _{2}}}}{{M _{H _{2}}}}}=\sqrt{\frac{32}{2}}\Rightarrow \frac{{v _{H _{2}}}}{{v _{O _{2}}}}=\frac{4}{1} $