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The frequency of a wave is measured as the number of complete back-and-forth vibrations of a particle of the medium per unit of time. If a particle of air undergoes 1000 longitudinal vibrations in 2 seconds, then the frequency of the wave would be 500 vibrations per second.he frequency of a sound wave not only refers to the number of back-and-forth vibrations of the particles per unit of time, but also refers to the number of compressions or rarefactions that pass a given point per unit of time.
The rate of its motion is 2 cycles/second. This rate is referred to as the wave frequency. Thus the wave frequency shows that how much the medium particles undergo in vibration when a wave is passed through that medium. It is cycles per second or waves per second or vibrations per second.he frequency is the quantity obtained when we divide velocity of the wave by its wavelength. f = $\frac{1}{T}$ where T = time period. The figure depicts the different types of waves as classified according to their frequencies.