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Physics diffraction angle question

This is the question
Light of wavelength 500 nm is passed through a diffraction grating which has
400 lines per mm.
What is the angular separation between the two second-order maxima?

The answer is 47.2 degrees. How do I get that?
d = 1/N = 1/(400x10^3)
use dsinθ=nλ
sin θ = 2 x 500 x 10^-9 x 400 x 10^3


There are 2 second order maxima, one on each side of the zero order central maximum.
The angle required is therefore 2 θ = 47.2 degrees
Reply 2
Original post by BobbJo
d = 1/N = 1/(400x10^3)
use dsinθ=nλ
sin θ = 2 x 500 x 10^-9 x 400 x 10^3


There are 2 second order maxima, one on each side of the zero order central maximum.
The angle required is therefore 2 θ = 47.2 degrees


Great, thank you so much

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