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How is the angle of deviation related to dispersion in a prism?

The angle of deviation and dispersion in a prism are closely related, as both involve how light bends when passing through the prism. Here’s how they are connected:

1. Angle of Deviation:

  • The angle of deviation is the angle between the incident ray (entering light) and the emergent ray (exiting light) after it passes through the prism.
  • It measures how much the light path is bent (or deviated) by the prism.

2. Wavelength Dependence:

  • The deviation angle depends on the wavelength of the light because different wavelengths experience different refractive indices.
  • Shorter wavelengths (e.g., violet) bend more, resulting in a larger angle of deviation.
  • Longer wavelengths (e.g., red) bend less, resulting in a smaller angle of deviation.

3. Relation to Dispersion:

  • The difference in deviation angles between different colors is what causes dispersion.
  • This difference is called angular dispersion — the angular separation between the deviated rays of different wavelengths.

4. More Dispersion = Greater Spread:

  • A greater variation in deviation angles means more dispersion, producing a wider spectrum of colors.
  • Prisms with materials having higher dispersive power (e.g., flint glass) show greater differences in deviation angles.

In summary, dispersion arises because the angle of deviation varies with wavelength — this variation spreads white light into a spectrum.

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