Question
A diffraction grating with 13400 lines per 2.54 cm (i.e., per inch) is used to view the visible spectrum from hydrogen gas excited by an electrical discharge. At whatangle from the beam axis will the first order peak for the red photons (wavelength 656 nm) occur?

Please show all the work, it is much appreciated!

The number of lines on the grating 13400 lines/2.54 cm

The wavelength of the light = 656 nm

The slit width is d = 2.54/13400/cm = 1.895*10^-6 m

We have d*sin(θ) = mλ

sin(theta) = 656*10^-9 m/ 1.895*10^-6 m

theta = 20.24 degree

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