AP EAMCET · PHYSICS · Waves and Sound
The speed of the sound in oxygen \(\mathrm{O}_2\) at a certain temperature is \(460 \mathrm{~ms}^{-1}\). The speed of the sound in helium (He) at the same temperature will be (assume both the gases to be ideal)
- A \(330 \mathrm{~ms}^{-1}\)
- B \(1420 \mathrm{~ms}^{-1}\)
- C \(500 \mathrm{~ms}^{-1}\)
- D \(650 \mathrm{~ms}^{-1}\)
Answer & Solution
Correct Answer
(B) \(1420 \mathrm{~ms}^{-1}\)
Step-by-step Solution
Detailed explanation
For Oxygen, Molar mass, \(M_1=32\) Heat capacity ratio at constant pressure to that at constant volume, \[ \gamma_1=C_p / C_V=7 / 5 \] [for diatomic gas] Speed of sound, \(v_1=460 \mathrm{~m} / \mathrm{s}\) For Helium, Molar mass, \(M_2=4\) Heat capacity ratio…
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