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If at same temperature and pressure, the densities for two diatomic gases are respectively $d_1$ and $d_2$, then the ratio of velocities of sound in these gases will be
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The correct answer is:
$\sqrt{\frac{d_2}{d_1}}$
Speed of sound
$v=\sqrt{\frac{\gamma P}{d}} \Rightarrow \frac{v_1}{v_2}=\sqrt{\frac{d_2}{d_1}} \quad(\ P-$ constant)
$v=\sqrt{\frac{\gamma P}{d}} \Rightarrow \frac{v_1}{v_2}=\sqrt{\frac{d_2}{d_1}} \quad(\ P-$ constant)
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