Question

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

Answer 1

Let, Wavelength = W,

Given, frequency (f) = 50 Hz, wave velocity (V) = 342 m/s

We know, V = f × W
=> 342 = 50 × W

=> W = 342/50 metre
=> W = 6.84 metre

Answer 2

The wavelength of a sound wave is 6.84 meters.

Explanation:

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 :

$v=f\times \lambda$

$\lambda=\dfrac{v}{f}$

$\lambda=\dfrac{342\ m/s}{50\ Hz}$

$\lambda=6.84\ m$

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

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