Taking into account of wavelenght, frequency and propagation speed, the speed of the wave is 500 [tex]\frac{m}{s}[/tex].
First, you have to know that wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length (m).
On the other side, frequency is the number of vibrations that occur in a unit of time. This is, the frequency (f) is the measure of the number of cycles or repetitions of the wave per unit of time. Its unit is s⁻¹ or hertz (Hz).
Finally, the propagation speed is the speed with which the wave propagates in the medium, that is, it is the magnitude that measures the speed at which the wave's disturbance propagates along its displacement.
Relate the wavelength (λ) and the frequency (f) using the following equation:
v = f * λ
The higher the frequency, the shorter the wavelength and the lower the frequency, the longer the wavelength.
In this case, you know that:
Replacing in the definition of propagation speed:
v= 50 Hz* 10 m
Solving:
v= 500 [tex]\frac{m}{s}[/tex]
In summary, the speed of the wave is 500 [tex]\frac{m}{s}[/tex].
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