Question

The range of human hearing extends from approximately 20 Hz to 20,000 Hz. Find the wavelengths of these extremes at a temperature of 27°C

Answer 1

The wavelengths of a sound wave in the air

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

So

$$\lambda_{\max}=\rm\frac{340\; m/s}{20\: Hz}=17\: m$$

$$\lambda_{\min}=\rm\frac{340\; m/s}{20000\: Hz}=17\: mm$$