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Unformatted text preview: 20. Let the distance in question be x. The path diﬀerence (between rays originating from S1 and S2 and
arriving at points on the x > 0 axis) is
d2 + x2 − x = m+ 1
2 λ, where we are requiring destructive interference (halfinteger wavelength phase diﬀerences) and m =
0, 1, 2, · · · . After some algebraic steps, we solve for the distance in terms of m:
x= d2
(2m + 1)λ
−
.
(2m + 1)λ
4 To obtain the largest value of x, we set m = 0:
x0 = d2
λ
(3.00λ)2
λ
−=
− = 8.75λ .
λ
4
λ
4 ...
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.
 Fall '08
 SPRUNGER
 Physics

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