As the frequency of the EM wave increases, the energy carried by the wave
increases.
Explanation:
Since all that waves really are is traveling energy, the more energy in a wave, the higher its frequency. The lower the frequency is, the less energy in the wave.
The energy of the wave is directly proportional to the frequency of the wave. The frequency is inversely proportional to the wavelength.
If the energy of the wave increases then the wavelength of the wave decreases.
If the energy of the wave increases then the frequency of the wave will increase
The greater the energy, the larger the frequency and the shorter (smaller) the wavelength. Given the relationship between wavelength and frequency — the higher the frequency, the shorter the wavelength — it follows that short wavelengths are more energetic than long wavelengths