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How is the intensity of light related to interference?

The intensity of light in an interference pattern depends on how the light waves combine at a particular point, based on their phase relationship:

  1. Constructive Interference:
    • When two light waves arrive in phase (their crests and troughs align), their electric fields add.
    • This leads to an increase in amplitude, and since intensity is proportional to the square of amplitude, the resulting light is brighter.
    • These points form the bright fringes in an interference pattern.
  2. Destructive Interference:
    • When two waves arrive out of phase (crest meets trough), their electric fields cancel out.
    • This results in reduced or zero amplitude, leading to low or zero intensity (dark fringes).
  3. Intermediate Interference:
    • If waves are partially out of phase, they don’t completely cancel or reinforce.
    • This gives intermediate intensity, creating a graded pattern of brightness.

Thus, interference modulates light intensity, creating a pattern of alternating bright and dark bands. The variation in intensity is a direct result of the constructive and destructive interference of the overlapping light waves.

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