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Unformatted text preview: 6. In contrast to the initial conditions of Problem 355, we now consider waves W2 and
1
W1 with an initial effective phase difference (in wavelengths) equal to 2 , and seek
positions of the sliver which cause the wave to constructively interfere (which
corresponds to an integervalued phase difference in wavelengths). Thus, the extra
1
3
distance 2L traveled by W2 must amount to 2 λ , 2 λ , and so on. We may write this
requirement succinctly as
2m + 1
λ where m = 0, 1, 2, … .
L=
4
(a) Thus, the smallest value of L / λ that results in the final waves being exactly in phase
is when m =0, which gives L / λ = 1/ 4 = 0.25 .
(b) The second smallest value of L / λ that results in the final waves being exactly in
phase is when m =1, which gives L / λ = 3 / 4 = 0.75 .
(c) The third smallest value of L / λ that results in the final waves being exactly in phase
is when m =2, which gives L / λ = 5 / 4 = 1.25 . ...
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 Spring '08
 Any
 Physics

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