Question

The wavelength of a sound wave is $66m.$ Calculate the frequency of the wave if the velocity of sound is $330m/s$. Would this sound be audible to the human ear?

Answer 1

Step 1: Given data:

Wavelength of sound wave $\left(\lambda \right)=66m$

Velocity of sound $\left(V\right)=330m/s$

Step 2: Formula used:

Speed of sound is given as, $V=f\lambda$

where $f$is Frequency

Step 3: Calculating the frequency of the wave:

Using the formula, $V=f\lambda$

$f=\frac{V}{\lambda }$

$f=\frac{330m/s}{66m}$

$f=5Hz$.

We know that humans can detect sounds in a frequency range from about $20Hz$to $20kHz.$

Hence, this sound $(f=5Hz)$ is not audible to the human ear.