First slide

Introduction to waves

Question

If at same temperature and pressure, the densities for two diatomic gases are respectively d₁ and d₂ , then the ratio of velocities of sound in these gases will be

Moderate

A

$\sqrt{\frac{d_{2}}{d_{1}}}$
B

$\sqrt{\frac{d_{1}}{d_{2}}}$
C

$d_{1} d_{2}$
D

$\sqrt{d_{1} d_{2}}$

Solution

Speed of sound $v = \sqrt{\frac{γP}{d}} \Rightarrow \frac{v_{1}}{v_{2}} = \sqrt{\frac{d_{2}}{d_{1}}}$ ( $∵ P -$ constant)

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