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The speed of wave propagation and its relationship to wavelength and period (frequency) hesitation

Remember, that if fluctuations in the phase displacement Wednesday. The speed of propagation of vibrations in elastic phase speed is called wave Wednesday. Because the phase velocity v in the isotropic Wednesday is constant, You can find, dividing the movement phase of the wave at the time, for which it was. As for time t the phase of the wave moves at the distance of λ, it:

v = λ/Т. (24.22)

Since t = 1/v, have

v = λv. (24.23)

Installed, that phase velocity is determined only by the physical properties Wednesday and its condition. Therefore, mechanical waves with different frequency oscillations in the specified Wednesday distributed with equal speed (Note, that is true only if you are not a very large difference in the frequency of oscillations).

Thus, a certain frequency fluctuations in the specified matches Wednesday v single value wavelength λ. In this case, as can be seen from the formula (24.23), greater frequency correspond to shorter waves Wednesday. This gives the opportunity to characterize waves Wednesday not frequency (period) fluctuations of particles in them, and wavelength λ. Here you need to remember, that as you move from one wave to another Wednesday frequency v and t period of particles in it remain constant, and wavelength λ varies in proportion to the change in velocity (v). So, characterize the wave length can only be, When all comparable waves travel in the same Wednesday.

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