Lesson 3 of 15

Sound Wavelength

Wavelength of Sound

Rearranging the wave equation (v=flambdav = flambda) for wavelength:

lambda = rac{v}{f}

In air at 20 °C, v=343v = 343 m/s. So for any audible frequency:

lambda = rac{343}{f}

Why It Matters

Wavelength governs diffraction: sound bends around obstacles whose size is comparable to lambdalambda. Bass frequencies (long lambdalambda) bend around walls; treble frequencies (short lambdalambda) are more directional.

f (Hz)lambdalambda (m)Example
1003.4300~door width
3431.0000~1 m
4400.7795concert A
10000.3430~smartphone

Your Task

Implement soundWavelength(f) returning the wavelength in metres (v=343v = 343 m/s).

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