Taking into account the definition of wavelength, frecuency and propagation speed, if electromagnetic radiation a has a lower frequency than electromagnetic radiation b the wavelength of a is longer.
When a wave is transmitted through a medium, the distance between two consecutive maxima is called the wavelength (λ). That is, the wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration and is expressed in units of length (m).
The frequency (f) is the number of waves per unit of time and is normally expressed in s⁻¹ or hertz (Hz), which is the number of waves per second.
The relationship between wavelength and frequency is:
v=f× λ
where v is the speed of propagation of the wave in the medium.
Therefore, the wavelength increases inversely with the frequency. That is, the higher the frequency, the shorter the wavelength and the lower the frequency, the longer the wavelength.
Finally, if electromagnetic radiation a has a lower frequency than electromagnetic radiation b the wavelength of a is longer.
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