Light of a single wavelength is incident on a diffraction grating with 500 slits/mm. several bright fringes are observed on a screen behind the grating, including one at 45.9 ∘ and one next to it at 73.2∘.

what is the wavelength of the light?

λ (wavelength)=478nm

Explanation:

Given Data

diffraction grating with 500 slits/mm.

∅₁=45.9°

Ф₂=73.2°

λ=?

Solution

dSin∅₁=nλ

dSinФ₂=(n+1)λ

then

λ=d(Sin∅₁-SinФ₂)

where d=1/500

d=

λ=

λ=

λ=478nm

6 cos 34, 6 sin 34 trig

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