Answer:
15.96°
Explanation:
n = Diffraction order = 1
[tex]\lambda[/tex] = Wavelength = 550 nm
d = Grating space = [tex]2\mu m[/tex] (generally given in [tex]\mu m[/tex])
[tex]\theta[/tex] = Diffraction angle
From diffraction theory we have the relation
[tex]n\lambda=dsin\theta[/tex]
[tex]\theta=sin^{-1}\frac{n\lambda}{d}\\\Rightarrow \theta=sin^{-1}\frac{1\times 550\times 10^{-9}}{2\times 10^{-6}}\\\Rightarrow \theta=15.96^{\circ}[/tex]
The first-order diffraction angle for green light is 15.96°
