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A wave is traveling in 22°C air. If the distance from the point of max compression...

A wave is traveling in 22°C air. If the distance from the point of max compression to the following point of max rarefaction is 1m, what is the frequency of the wave?

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Answer #1

Solution

Answer: 171.5 Hz

Sound is a longitudinal wave and for a longitudinal wave wavelength is defined as the distance from one maximum compression (or rarefaction) region to the upcoming next compression (or rarefaction) region. Here given the distance from one compression region to the next rarefaction region which is nothing but the half of wavelength of wave. Thus,

We have the standard value of velocity of sound in air at 22°C is 343 m/s thus using the relation connecting frequency, velocity and wavelength,

Thus frequecy of wave is 171.5 Hz

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