Question

The audible range of a person is 20 to 20,000 Hz. If the speed of sound in air is $330{ms}^{-1}$, calculate the longest wavelength of sound, which he can detect?

• A. $\frac{18000}{330}m$
• B. $\frac{330}{1800}m$
• C. $\frac{20}{330}m$
• D. $\frac{330}{20}m$

Answer 1

The correct option is D $\frac{330}{20}m$

We have the formula,

$V=\lambda \times v$

where,

$V$ is the velocity of sound $=330m{s}^{-1}$

$v$ is the frequency

$\lambda$ is the wavelength

We have a range of frequencies from $20Hz$ to $20,000Hz$

Hence for frequency $v=20Hz$, we have

$330=20\times \lambda$

Therefore, $\lambda =\frac{330}{20}m$