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# Solved Example Problems for Propagation of Sound Waves

Physics : Waves - Solved Example Problems for Propagation of Sound Waves

### EXAMPLE 11.9

The ratio of the densities of oxygen and nitrogen is 16:14. Calculate the temperature when the speed of sound in nitrogen gas at 17°C is equal to the speed of sound in oxygen gas.

### Solution

From equation (11.25), we have Where, R is the universal gas constant and M is the molecular mass of the gas. The speed of sound in nitrogen gas at 17°C is Similarly, the speed of sound in oxygen gas at t in K is Given that the value of γ is same for both the gases, the two speeds must be equal. Hence, equating equation (1) and (2), we get Squaring on both sides and cancelling γ R term and rearranging, we get Since the densities of oxygen and nitrogen is 16:14, Substituting equation (5) in equation (3), we get Tags : Physics , 11th Physics : Waves
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