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} $