Electromagnetic radiation travels in waves. waves have energy. what is the relationship between the wavelength of electromagnetic radiation and the energy of the wave

Electromagnetic radiation consists of many photons, each photon carrying an energy of

where
is the Planck constant
f is the frequency of the wave.

We also know a relationship between frequency and wavelength of a wave:

where
is the speed of light
is the wavelength.

Substituting the second equation into the first one, we find a relationship between the energy of a wave and its wavelength:

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