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Coherent microwave light with a frequency f = 2.0 1010 Hz is incident on a d = 5.0 cm double slit barrier, producing an interference

Coherent microwave light with a frequency f = 2.0 1010 Hz is incident on a d = 5.0 cm double slit barrier, producing an interference pattern with a number of maxima and minima. A detector is free to swing around the full 180 in order to find the presence of interference maxima and minima. (a) How many different maxima will this detector detect, as it is allowed to swing around the full 180? (Include the central maxima if there is one, and the maxima on both sides of the centerline in your count.)

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