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How does the wavelength of light affect its dispersion in a material?

The wavelength of light plays a crucial role in its dispersion within a material because the refractive index of most materials varies with wavelength — a property known as dispersion.

How Wavelength Affects Dispersion:

  1. Shorter Wavelengths Refract More:
    Light with shorter wavelengths (like violet and blue) generally experiences a higher refractive index, meaning it slows down more and bends more when entering a material.
  2. Longer Wavelengths Refract Less:
    Light with longer wavelengths (like red) encounters a lower refractive index, so it bends less compared to shorter wavelengths.
  3. Resulting in Color Separation:
    Since different wavelengths bend by different amounts, they follow different paths inside the material. This separation of paths causes the light to spread into a spectrum of colors, which is dispersion.
  4. Greater Wavelength Difference = More Dispersion:
    The wider the range of wavelengths in the incoming light, the more noticeable the dispersion effect will be, especially in materials with strong wavelength-dependent refractive properties.
  5. Material-Specific Behavior:
    The exact relationship between refractive index and wavelength differs across materials. For example, flint glass shows more dispersion than crown glass due to a steeper variation in refractive index with wavelength.

In essence, the shorter the wavelength, the greater the bending, which leads to stronger dispersion in a material.

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