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Range of frequency \(20 Hz to 20,000 Hz\)

For humans, the audible frequency range is around 20 Hz to 20,000 Hz (20 kHz). It's customary to divide this range into at least three categories for descriptive purposes: lows, mids, and highs.

Formula:

\(\lambda = \frac{v}{f}\)

Where, \(v\) is velocity and \(f\)is frequency of sound

(a)

\(v = 344\,{m \mathord{\left/

{\vphantom {m s}} \right.

\\s}\)

For \(f = 20,000\,Hz\)

\(\begin{aligned}{c}\lambda = \frac{v}{f}\\ = \frac{{344\,{m \mathord{\left/

{\vphantom {m s}} \right.

\\s}}}{{20,000\,Hz}}\\ = 1.7\,cm\end{aligned}\)

For \(f = 20\,Hz\)

\(\begin{aligned}{c}\lambda = \frac{v}{f}\\ = \frac{{344\,{m \mathord{\left/

{\vphantom {m s}} \right.

\\s}}}{{20Hz}}\\ = 17\,m\end{aligned}\)

The range of wavelengths is\(1.7\,cm\,\,to\,\,17\,m\)