Question

# A sound wave travels at a speed of $339m/s$. If its wavelength is $1.5cm$, what is the frequency of the wave? Will it be audible?

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Solution

## Step 1: Given dataThe speed of the sound wave is $v=339m/s.$The wavelength of sound is $\lambda =0.015cm.$Step 2: FrequencyFrequency is the total number of waves produced in unit time.Frequency is defined by the form, $\nu =\frac{V}{\lambda }$, where, V is the speed of the wave and $\lambda$ is the wavelength of the wave.Step 3: Finding the frequencyAs we know, frequency is $\nu =\frac{V}{\lambda }$.or $\nu =\frac{V}{\lambda }=\frac{339}{0.015}=22600\phantom{\rule{0ex}{0ex}}or\nu =22600Hz.$We know human ears are able to hear sound waves of a range of frequencies $20-20000Hz$. So, $22600Hz$ is not audible to the human ear.Therefore, the frequency of the wave is $22600Hz$ and it is not audible.

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