Answer:
The energy of a wave is inversely proportional to the wavelength of the wave.
As wavelength increases, the energy of the wave decreases.
As wavelength decreases, the energy of the wave increases.
Explanation:
The energy of a wave is directly proportional to the wave's frequency. As frequency increases, so does the energy of the wave.
[tex]E\propto f[/tex] (energy [tex]E[/tex] is proportional to frequency [tex]f[/tex])
How is this related to wavelength?
Frequency is inversely proportional to wavelength. That means that as frequency increases, wavelength decreases and as frequency decreases, wavelength increases.
[tex]f\propto \frac{1}{\lambda}[/tex] (frequency [tex]f[/tex] is inversely proportional to wavelength [tex]\lambda[/tex])
Therefore, as wavelength increases, the energy of a wave decreases and as wavelength decreases, the energy of a wave increases.
[tex]E\propto f\propto \frac{1}{\lambda}[/tex]
