Answer:
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=[tex]2*10^{-6}m[/tex]
λ=[tex]2*10^{-6}(Sin(73.2)-Sin(45.9))[/tex]
λ=[tex]4.783*10^{-7}m[/tex]
λ=478nm