This question is in reference to a laser diffraction lab we did for physics lab:

Question

This question is in reference to a laser diffraction lab we did for physics lab:

For this question your laser has a wavelength of 642.1[nm]. You measure a distance from diffraction grating to screen to be 315[mm] and the first spot is measured a distance from center axis to be 1.319E+02[mm]. How many slits per millimeter are there?

Number of slits / mm = ??? (Answer to the nearest interger slit)

I tried this question and got 652 slits / mm which was marked as incorrect. Any help would be appreciated.

Explanation / Answer

d*y/D= m*lambda

d = m*lambda*D/y

D = 315 mm = 315 x 10^-3 m

y = 1.319 x 10^2 mm = 0.1319 m

m = 1

lambda = 642.1 x 10^-9 m

d = 1.53 x 10^-6

d = 1/nmber of slit/mm

= 652

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