Coherent red light (wavelength 650 nm) is shined on a Young's Double Slit Apparatus. What slit size gives a 5th order interference bright fringe at the first diffraction minimum on a view screen 2 meters away from the slits? Suppose the slit separation is 0.1 mm.

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Coherent red light (wavelength 650 nm) is shined on a
Young's Double Slit Apparatus. What slit size gives a
5th order interference bright fringe at the first diffraction minimum on
a view screen 2 meters away from the slits? Suppose the slit separation is 0.1 mm.
d sim@ = md
A=650hm
M=5
in
05
d= a1
ーLtan en
m=D0
yu=L
d.
tan Om =
O5 = anctan [Sa
%3D
m=D5
05=anctan.
0.1
= anctan [ 5e
Kーン
Transcribed Image Text:Coherent red light (wavelength 650 nm) is shined on a Young's Double Slit Apparatus. What slit size gives a 5th order interference bright fringe at the first diffraction minimum on a view screen 2 meters away from the slits? Suppose the slit separation is 0.1 mm. d sim@ = md A=650hm M=5 in 05 d= a1 ーLtan en m=D0 yu=L d. tan Om = O5 = anctan [Sa %3D m=D5 05=anctan. 0.1 = anctan [ 5e Kーン
Problems
Chapter 17 of "Physics for Scientists and Engineers", 10th ed. by Serway and Jewett.
Two sound waves arrive at your ear simultaneously; they have slightly different frequencies: wi and
wa and equal amplitudes. You hear the loudness oscillate sinusoidally; this is what we refer to as
"beats". Show that the total sound wave has the the form:
P(t) = Patm + 2&P cos((w1 – w2)/2) cos((wi +w2)/2).
%3D
-
(1)
You can use the trig identity in the text on p#.470 as a guide, but take the time to derive the iden-
tity using de Moivre's theorem to apply the trick we've been developing in class for trig identities.
っVP
ニ
12
ニ
P(+) = P, +P + Patm
%3D
SP Cos (wit) + SPCOS (Wet) + Patm
SP [ Cos (,t)+ Cos (We t)] + Patm
=
%3D
%3D
Wat
Transcribed Image Text:Problems Chapter 17 of "Physics for Scientists and Engineers", 10th ed. by Serway and Jewett. Two sound waves arrive at your ear simultaneously; they have slightly different frequencies: wi and wa and equal amplitudes. You hear the loudness oscillate sinusoidally; this is what we refer to as "beats". Show that the total sound wave has the the form: P(t) = Patm + 2&P cos((w1 – w2)/2) cos((wi +w2)/2). %3D - (1) You can use the trig identity in the text on p#.470 as a guide, but take the time to derive the iden- tity using de Moivre's theorem to apply the trick we've been developing in class for trig identities. っVP ニ 12 ニ P(+) = P, +P + Patm %3D SP Cos (wit) + SPCOS (Wet) + Patm SP [ Cos (,t)+ Cos (We t)] + Patm = %3D %3D Wat
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