COMEDK · Physics · 16. Waves and Sound
Oxygen is 16 times heavier than hydrogen. Equal volumes of hydrogen and oxygen are mixe(d)The ratio of speed of sound in the mixture to that in hydrogen is
- A \(\sqrt{1 / 8}\)
- B \(\sqrt{\frac{32}{17}}\)
- C \(\sqrt{8}\)
- D \(\sqrt{\frac{2}{17}}\)
Answer & Solution
Correct Answer
(D) \(\sqrt{\frac{2}{17}}\)
Step-by-step Solution
Detailed explanation
The velocity of sound in a gas at a fixed temperature is given by \[ v=\sqrt{\frac{\gamma R T}{M}} \] where, \(\gamma=\left(\frac{C_{p}}{C_{V}}\right)\) is specific heat ratio and \(M\) is the molecular mass of the gas. Let, velocity of sound in hydrogen,…
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