You have a 5 slit diffraction grating. Make the following assumptions; each wave

Question

You have a 5 slit diffraction grating. Make the following assumptions; each wavelet from the slits has the same amplitude A the phase difference between successive wavelets is the same, let it be delta Construct phasor diagrams to represent the following cases and hence find the total amplitude of the resultant wave in terms of A 5 = delta delta = 2pi/5 delta = 8pi/5 delta = pi delta = pi/2 = 2pi/3 Make sure your diagrams are large and clearly labelled. Small or sloppily drawn diagrams will get no credit !!Take as much paper and space as you need in order to make good diagrams.

Explanation / Answer

a) total amplitude = A + A = 2A

b)   total amplitude = Acos(2pi/5) + Acos(2pi/5) = 0.618A

c) total amplitude = Acos(8pi/5) + Acos(8pi/5) = 0.618A

d) total amplitude = Acos(pi) + Acos(pi) = -2A

e) total amplitude = Acos(pi/2) + Acos(pi/2) = 0

f) total amplitude = Acos(2pi/3) + Acos(2pi/3) =   - A

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