PHYS 224 HW #8
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School
University of Louisville *
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Course
224
Subject
Mathematics
Date
Apr 3, 2024
Type
Pages
2
Uploaded by CountStrawFerret26
A. Describe how you made the measurements using the images on the screen and the
scale below them. Estimate the errors in the fringe spacing for each case, and then pair
up the separation of the slit and its mirror image d with the spacing of the dark fringes
Δx and report them here. The wavelength of the light responsible for the patterns would
be lambda equals space left parenthesis capital delta x right parenthesis cross times left
parenthesis d divided by ell right parenthesis λ = (Δx d / ℓ) as described on the class
website.
I made measurements by pasting the photos into a separate document where I could
move/delete pictures to be able to line up the image given for the millimeters with the
images of the experiment. From there I counted to the best of my ability the number of
spaces within 0.01 mm and then divided that by the number I counted. For the last two I
did it to 0.005 mm.
43= 0.01 mm
45= 0.005 mm
47= 0.002 mm
49= 0.00125 mm
51= 0.001 mm
53= 0.0007 mm
55= 0.000625 mm
B. For each one, find a wavelength, then average them to give a mean value with a
standard deviation for the set of data. Convert this average and its uncertainty to the
commonly used units of angstroms, microns, and meters.
43= 0.01(0.508)/80mm= 0.0000635
45=0.005(1.54)/80= 0.00009625
47=0.002(0.254)/80= 0.00000635
49= 0.00125(0.3556)/80= 0.00000556
51= 0.001(0.4572)/80= 0.00000572
53= 0.0007(0.5588)/80= 0.00000489
55= 0.000625(0.6604)/80= 0.00000516
Average= 0.00002678
S.D.= 3.47
Avg. in Angstroms= 267.8
Microns= 0.02678
Meters= 0.00000002678
C. In the image for the dial reading 45,
the white fringes are big and show obvious
color. What is the ordering of the colors and why does that occur?
Order of the colors from L to R= Indigo, Blue, Green, Yellow, Orange, Red.
This occurs from the differing wavelengths of the colors.
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