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# A sound wave travels at a speed of 339 m/s. If its wavelength is 1.5 cm, what is the frequency of the wave? Will it be audible?

Speed (v) of sound = 339 m/s

Wavelength $$\lambda$$ of sound = 1.5 cm = 0.015 m

We know that,
$$Speed \ of \ sound \ = \ Wavelength \ × \ Frequency$$

$$v \ = \ \lambda \ × \ \nu$$

$$v = \frac{v}{ \lambda } = \frac{339}{0.015} = 22600 \ Hz$$ .

The frequency of audible sound for human beings lies between the ranges of 20 Hz to 20,000 Hz. The frequency of the given sound is more than 20,000 Hz, therefore, it is not audible.