A person has a hearing range from $20 H z$ to $20 k H z$ . What are the typical wavelengths of sound waves in air corresponding to these two frequencies? Take the speed of sound in air as $344 \frac{m}{s}$ .

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Solution

Step 1: Given data
The hearing range of the person $= 20 H z - 20 K H z$
Speed of sound in air $=$ $344 \frac{m}{s}$
Step 2: Formula used
Speed $=$ Frequency $\times$ Wavelength
Step 3: Solution
$v = f \times λ$
(i). For the frequency $f = 20 H z$
$\Rightarrow λ = \frac{344}{20} = 17.2 m$
(ii). For the frequency $f = 20 k H z$
$\Rightarrow λ = \frac{344}{20 \times 10^{3}} = 0.0172 m$
Hence, the range of wavelength is $0.0172 m - 17.2 m$ .

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A person has a hearing range from 20Hz to 20kHz. What are the typical wavelengths of sound waves in air corresponding to these two frequencies? Take the speed of sound in air as 344ms.

A person has a hearing range from $20 H z$ to $20 k H z$ . What are the typical wavelengths of sound waves in air corresponding to these two frequencies? Take the speed of sound in air as $344 \frac{m}{s}$ .