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?

Respuesta :

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