The energy of an electromagnetic wave is inversely proportional to its wavelength.
Explanation:
Assuming we are talking about electromagnetic waves, the energy of an electromagnetic wave is given by the following:
[tex]E=hf[/tex]
where
h is the Planck constant
f is the frequency of the wave
We can rewrite the frequency in terms of the wavelength, by using the wave equation:
[tex]f=\frac{c}{\lambda}[/tex]
where
c is the speed of light
[tex]\lambda[/tex] is the wavelength
So the previous equation for the energy becomes
[tex]E=\frac{hc}{\lambda}[/tex]
Therefore, we see that the energy of an electromagnetic wave is inversely proportional to its wavelength: when the wavelength increases, the energy decreases, and when the wavelength decreases, the energy increases.
Learn more about waves, frequency and wavelength:
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