COMEDK · Physics · 16. Waves and Sound
Oxygen is 16 times heavier than hydrogen. Equal volumes of hydrogen and oxygen are mixed. The ratio of speed of sound in the mixture to that in hydrogen is
- A \(\sqrt{8}\)
- B \(\sqrt{2 / 17}\)
- C \(\sqrt{1 / 8}\)
- D \(\sqrt{32 / 17}\)
Answer & Solution
Correct Answer
(B) \(\sqrt{2 / 17}\)
Step-by-step Solution
Detailed explanation
Velocity of sound in a gas is given by \[ v=\sqrt{\frac{\gamma R T}{M}} \] where, \(\gamma=\) specific heat ratio and \(M=\) molecular mass of gas. Fror hydrogen, \(v_{H}=\sqrt{\frac{\gamma R T}{M_{1}}}\) For mixture of gases, molecular mass, Here,…
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