The Inverse Fourth Power Law in Rayleigh Scattering explains that the intensity of scattered light decreases as the wavelength increases. Specifically, it is inversely proportional to the wavelength’s fourth power.
In simpler terms:
- Shorter wavelengths scatter more: Blue light has a shorter wavelength than red light. According to this law, blue light will be scattered much more strongly by particles in the atmosphere than red light.
Mathematical Representation:
- I ∝ 1/λ⁴
- Where:
- I = Intensity of scattered light
- λ = Wavelength of light
- Where:
Key Implications:
- Blue Sky: The sky appears blue. This is because blue light is scattered more effectively by the Earth’s atmosphere. This occurs due to its shorter wavelength.
- Red Sunsets/Sunrises: When the sun is near the horizon, sunlight travels through a longer distance in the atmosphere. Most of the blue light is scattered away. This scattering leaves predominantly red and orange light to reach our eyes.
Key Points:
- This law applies when the size of the scattering particles is much smaller than the wavelength of light.
- It’s a fundamental principle in understanding the colors of the sky, sunsets, and other atmospheric phenomena