p36_059 - 59(a To get to the detector the wave from S1...

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59. (a) To get to the detector, the wave from S 1 travels a distance x and the wave from S 2 travels a distance d 2 + x 2 . The phase diFerence (in terms of wavelengths) between the two waves is p d 2 + x 2 x = m =0 , 1 , 2 ,... where we are requiring constructive interference. The solution is x = d 2 m 2 λ 2 2 . We see that setting m = 0 in this expression produces x = ; hence, the phase diFerence between the waves when P is very far away is 0. (b) The result of part (a) implies that the waves constructively interfere at P . (c) As is particularly evident from our results in part (d), the phase diFerence increases as
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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.

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