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Wavelength of Light Diffraction Grating Measurement Lab Report

Pre-lab. Post Lab (Question one of the post lab is asking you to comment on the precision of the measurements of the “d” spacing of the diffraction grating, which is an optical device consisting of a surface ruled with close, equidistant, and parallel lines for the purpose of resolving light into spectra. In other words, is asking you to comment on the standard error that you calculate during the data processing, based on your statistical knowledge. This is one way to answer this question, another way is to perform a linear regression with the Bragg’s equation (Eq. 1 on the manual) and then plot the residuals vs. the sine of the angle at which the spectrum line appears. This type of plot usually is used to prove the linearity of a data set, however another statistical property of the residuals is to weigh the error that each data point carry, by simply determine how far each point is from the zero line in such a plot. The further a point is from the zero line the more inconsistent is with the Bragg’s equation and if there are many of this point the higher the discrepancy of the data will be with Bragg’s equation.)

Lab Data. Show all calculations. Wavelength of Light Diffraction Grating Measurement Lab Report

use Bragg’s equation to determine the “d” spacing of the diffraction grating via linear regression than plot the residuals and use this plot to answer question one of the post lab. Keep in mind that you are still commenting on the standart error, this is just an exercise for extra credit. Do this exercise in a separate piece of paper and show me all the calculations, if you will like to use Excel for the plots you are free to do that.

-Drawing a correct linear regression plot.

-Determine via linear regression the “d” spacing of the diffraction grating. (show me all calculations)

-Residual plot and calculations.

-Explaining Q 1 of the post – lab using the residuals plot. Wavelength of Light Diffraction Grating Measurement Lab Report

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