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The intensity pattern formed by a diffraction grating of N slits is where θ is the angle...

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Physics

The intensity pattern formed by a diffraction grating of N slitsis

where θ is the angle of diffraction. The radiation reaches thegrating at normal incidence.

Using the formula above and m = 0, ±1, ±2 ... and p = aninteger ≠ mN

  1. show that
    • the interference maxima occur for β = mÏ€
    • and minima occur for  β = pÏ€/N .
  2. show that the orders m=pd/a (of interference) are missing ifd/a is an integer .

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