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

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17.2 m

0.0172 m

Both 1 and 2

None of these

answer is C.

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Detailed Solution

The range of wavelength is

17.2 m - 0.0172 m

.
Given,
Speed of the sound

v = 344 m / s

And extending the Hearing range of the frequency

= 20 Hz - 20 kHz

Formula used is

v = fλ

For frequency

f = 20 Hz

\Rightarrow λ = 344 / 20

\Rightarrow λ = 17.2 m

For frequency

F = 20 kHz

\Rightarrow λ = 344 / 20000

\Rightarrow λ = 0.0172 m

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