Answer:
The angle of diffraction is 13.09°
Explanation:
Given:
Wavelength of light [tex]\lambda = 508 \times 10^{-9}[/tex] m
Order of diffraction [tex]n = 2[/tex]
No. lines per centimeter [tex]N = 2230[/tex]
First find the grating element,
[tex]d = \frac{1}{N}[/tex]
[tex]d = 4.484 \times 10^{-6}[/tex] m
From the formula of diffraction,
[tex]d \sin \theta = n \lambda[/tex]
[tex]\sin \theta = \frac{2 \lambda}{d}[/tex]
[tex]\sin \theta = \frac{2 \times 508 \times 10^{-9} }{4.484 \times 10^{-6} }[/tex]
[tex]\theta = \sin ^{-1} (0.2265)[/tex]
[tex]\theta =[/tex] 13.09°
Therefore, the angle of diffraction is 13.09°