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How does the refractive index of a material depend on wavelength?

The refractive index of a material depends on the wavelength of light — this phenomenon is known as dispersion.

Key Idea:

  • Refractive index varies with wavelength: Light of different colors (wavelengths) travels at slightly different speeds in a medium, causing them to bend by different amounts.
  • Generally, shorter wavelengths (like blue or violet light) have a higher refractive index, so they slow down more and bend more.
  • Longer wavelengths (like red light) have a lower refractive index, so they bend less.

Example:

In glass:

  • Blue light bends more than red light when entering or leaving the material.
  • This leads to the splitting of white light into a spectrum (as seen in a prism or rainbow).

Why this happens:

  • The interaction of light with the material’s atoms depends on the light’s frequency (which is inversely related to wavelength).
  • Different wavelengths are affected differently, causing a spread of colors — the basis of chromatic effects in optics.

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