A person has a hearing range from 20, Hz to 2 | vedclass

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Question

(A) The relationship between speed of sound $(v)$, frequency $(f)$, and wavelength $(\lambda)$ is given by the formula: $v = f 	imes \lambda$, which

Vedclass · Accepted Answer

$17.2\, m$ and $1.72\, cm$

Vedclass · Answer

(A) The relationship between speed of sound $(v)$, frequency $(f)$, and wavelength $(\lambda)$ is given by the formula: $v = f 	imes \lambda$, which implies $\lambda = v / f$.Given speed of sound $v = 344\, m \,s^{-1}$.For the lower frequency $f_1 = 20\, Hz$:$\lambda_1 = 344 / 20 = 17.2\, m$.For the higher frequency $f_2 = 20\, kHz = 20,000\, Hz$:$\lambda_2 = 344 / 20,000 = 0.0172\, m = 1.72\, cm$.Therefore, the wavelengths are $17.2\, m$ and $1.72\, cm$.

$A$ 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 $344\, m \,s^{-1}$.

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