Question

When the light of a wavelength 450 nm is passed through a certain diffraction
grating, the first order diffraction maximum is found to be at an angle of 35° to the
straight through. Calculate the distance between adjacent slits in the grating
the difference in path length = 1 wavelength
d sin 35 = 450 *10^-9 meter

http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/grating.html

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