Question

A person can hear sound waves in the frequency range 20 Hz to 20 kHz. Find the minimum and the maximum wavelengths of sound that is audible to the person. The speed of sound is $360m^{-1}$.

Answer 1

(a)For maximum wave length,

n=20 Hz as $\left(\eta \alpha \right(\frac{1}{\lambda }\left)\right)$

(b)For minimum wave length,

n =20 kHz

$\therefore \lambda =\frac{360}{(20\times {10}^3)}$

$=18\times {10}^{-3}m=18mm$

$\Rightarrow x=\left(\frac{v}{n}\right)$

$=\frac{360}{20}=18m$