Question

Define the wavelength of a sound wave. How is it related to the frequency and the wave speed?

Answer 1

Hint: We will first define the wavelength of the light. Wavelength of a sound wave can be defined as the distance between the two successive crests or two successive troughs of a wave. Wavelength is the distance/length of waves. Then we will define the relation of wavelength with the speed and the frequency of the wave.

Complete answer:
Wavelength of a sound wave can be defined as the distance between the two successive crests or two successive troughs of a wave. This wavelength of sound is always measured in the direction of the wave. Also, we can say that the wavelength is the distance of one crest from another crest or of one trough from another trough. The wavelength of a wave is given below;
$\lambda ={\displaystyle \frac{s}{l}}$
Here, $\lambda$ is the wavelength of the wave, $s$ is the distance between the successive crest or trough and $l$ is the length of the wave.
Now, the wavelength of wave is related to speed and the frequency of the wave as shown below;
$\lambda ={\displaystyle \frac{v}{f}}$
Here, $\lambda$ is the wavelength of the wave, $v$ is the speed of the wave and $f$ is the frequency of the wave.

Additional information:
We know that the wavelength of light is different for different colors of light. It is known that the red color has the longest wavelength whereas the yellow color has the least wavelength. Also, the wavelength of the ultraviolet radiations is shorter than wavelength of the violet color.

Note:As we know that the wavelength of light is the distance/length of the wave, therefore, the wavelength is always measured in $meters$, $centimeters$, $nanometers$ etc. Also, the crest is the highest point of the wave whereas the trough is the lowest point of the wave. Here, the wavelength of the wave is inversely proportional to the frequency of the wave.