Here's the breakdown:
* Speed of Light in a Vacuum: The speed of light in a vacuum is constant for all colors. It's approximately 299,792,458 meters per second. This is represented by the letter 'c'.
* Speed of Light in a Medium: When light passes through a medium (like air, water, or glass), its speed slows down. The amount it slows down depends on the medium's refractive index. Different colors of light have slightly different refractive indices, meaning they slow down by different amounts. This causes dispersion, which is why a prism can split white light into a rainbow.
* Color and Wavelength: The color of light is determined by its wavelength. Red light has the longest wavelength, while violet light has the shortest. Since different wavelengths of light travel at slightly different speeds through a medium, they bend at slightly different angles, resulting in the separation of colors.
In summary:
* The speed of light in a vacuum is constant for all colors.
* In a medium, different colors of light travel at slightly different speeds, leading to color separation (dispersion).
Let me know if you'd like to delve deeper into the concept of refractive index or dispersion!