Here's why:
* Wavelength and Frequency: Wavelength (λ) and frequency (f) are inversely proportional. This means that as wavelength decreases, frequency increases. The relationship is described by the equation: c = λf, where c is the speed of light in a vacuum.
* Frequency and Energy: The energy (E) of an electromagnetic wave is directly proportional to its frequency. This is described by Planck's equation: E = hf, where h is Planck's constant.
Therefore, a shorter wavelength implies a higher frequency, which in turn implies a higher energy.
This is why, for example, gamma rays (very short wavelengths) are highly energetic, while radio waves (very long wavelengths) have low energy.
