First slide

Stationary waves

Question

Two monoatomic ideal gases 1 and 2 of molecular masses $m_{1}$ & $m_{2}$ respectively are closed in separate containers kept at same temperature. The ratio of speed of sound in gas 1 to that in gas 2 is given by

Moderate

A

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

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

$\frac{m_{1}}{m_{2}}$
D

$\frac{m_{2}}{m_{1}}$

Solution

$S p e e d o f s o u n d i n g a s v = \sqrt{\frac{γ R T}{M}} ∴ \frac{v_{1}}{v_{2}} = \sqrt{\frac{m_{2}}{m_{1}}}$

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