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Transcribed Image Text:Problem 9
You are building papercraft spectrometerwith your cell phone or computer. Recommended silt
distance is 0.4mm or even as small as 0.2mm, Distance between grating to slit is approximately ochi.
and angle is tilted about 45 degree.
a) Using multiple slit formula to find first angle of constructive interference m=1, compute 400nm
and 650nm. What's the angle between? Assuming d spacing is 0.74 um for DVD.
d=Gind=ml
Sint, =\x400x10
U.74X10-6
7=Sin' (usA1) =32.72"
SinB=1x,
650X109
b) What's the line density in line/mm? if d spacing is 0.74 um?
c) If 0.2mm slit is used, what Rayleigh's criterion for a single slit if wavelength is 650nm.
Compare the criterion for 400 nm. Its different from circular aperture (1.22ramda/d) do not
use it. Find angle in radian.
28
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