Respuesta :

AL2006
Within a single medium, the product of (wavelength) x (frequency)
is always the same number, for all waves.  (It's the wave-speed.)

This means that longer wavelengths must have lower frequencies,
and shorter wavelengths must have higher frequencies, in order for
the product to always come out to be the same.

Longer wavelengths will have lower frequencies, and shorter wavelengths will have higher frequencies.

Wavelength is the distance between two successive crests or trough in a waveform.

Wavelength is measured in meters, and the value can be obtained by diving the speed of the wave by its frequency.

Frequency is the number of cycles of a wave per unit time of motion.

Frequency, wavelength and velocity is related as shown below;

[tex]F = \frac{V}{\lambda}[/tex]

where;

  • F is the frequency of the wave
  • v is the speed of the wave
  • λ is the wavelength of the wave.

From the relationship above, a longer wavelength will result in a lower frequency while a shorter wavelength will result in a higher frequency.

Thus, we can conclude that, longer wavelengths will have lower frequencies, and shorter wavelengths will have higher frequencies.

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