The frequency of a wave with wavelength of 0.050 m and speed of 220 m/s is 4.4 kHz.
Explanation:
Frequency is the measure of repetition of a cycle in a given time. So it is inversely proportional to the wavelength and directly proportional to the speed.
[tex]Frequency =\frac{\text { Wave speed }}{\text { wavelength }}[/tex]
As wavelength is the measure of distance covered by the wave and speed is the rate at which the distance is covered. Frequency will be the number of times a complete cycle will be repeated in that particular time.
Here the wave speed is given as 220 m/s and wavelength is given as 0.050 m.
Then [tex]\text { Frequency }=\frac{220}{0.050}=4400 \mathrm{Hz}[/tex]
Thus, the frequency of a wave with wavelength of 0.050 m and speed of 220 m/s is 4.4 kHz.
