Question

What is the wavelength of a sound wave with a frequency of 50 Hz? (Speed of sound is 342m/s)

Answer 1

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The wavelength of a sound wave is 6.84 meters.

Given that,

Frequency of the sound wave, f = 50 Hz

To find,

The wavelength of sound wave.

Solution,

The speed of sound wave is given by the relation as follows :

$v=f\times\lambda \\ =f×λ\lambda \\ =\dfrac{v}{f}λ \\ =fv\lambda \\ =\dfrac{342\ m/s}{50\ Hz}λ \\=50 Hz342 m/s\lambda \\ =6.84\ mλ \\ =6.84 m$

So, the wavelength of a sound wave is 6.84 meters.