Let E is the energy of the wave and is its wavelength. The energy of the wave is given by :
..............(1)
Where
h = Planck's constant
c = speed of light
= wavelength of a wave
It is clear from equation (1) that the energy is inversely proportional to the wavelength of a wave. So, there exists an inverse relationship between the energy and the wavelength of the wave.
Wavelength is the distance between two consecutive points of the wave that are in the same phase. The relationship between wavelength, frequency, and velocity of a wave is given by v = f λ where f is the frequency of the wave and λ is the wavelength.