Problem

An array of wave emitters, as shown in the figure, emits a wave of wavelength λ that is to...

An array of wave emitters, as shown in the figure, emits a wave of wavelength λ that is to be detected at a distance L directly above the rightmost emitter. The distance between adjacent wave emitters is d.

a)  Show that when L >> d, the wave from the nth emitter (counting from right to left with n = 0 being the rightmost emitter) has to travel an extra distance of Δs = n2 (d2/2L).


b)  If  λ= d2/2L, will the interference at the detector be constructive or destructive?


c)  If A = d2/2L = 10-3 m and L = 1.00•103 m, what is d, the distance between adjacent emitters?

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