what is the relationship between wavelength and energy
The energy of light (or any electromagnetic radiation) is inversely related to its wavelength: shorter wavelength means higher energy; longer wavelength means lower energy.
Core relationship
For a single photon, the relationship is given by:
- E=hfE=hfE=hf, where:
- EEE is energy
- hhh is Planck’s constant
- fff is frequency
- Since c=λfc=\lambda fc=λf for light in a vacuum, this can be rewritten as:
- E=hcλE=\dfrac{hc}{\lambda}E=λhc
From E=hc/λE=hc/\lambda E=hc/λ, you can see:
- As wavelength λ\lambda λ decreases , energy EEE increases.
- As wavelength λ\lambda λ increases , energy EEE decreases.
Intuitive picture
- High-energy electromagnetic waves (like X‑rays and gamma rays) have very short wavelengths and very high frequencies.
- Low-energy waves (like radio waves) have very long wavelengths and low frequencies.
So, in simple terms: shorter wavelength → higher energy; longer wavelength → lower energy.
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