17_Chapter 24 HomeworkCH24 Wave Optics

17_Chapter 24 HomeworkCH24 Wave Optics - Wave Optics 24.30...

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Wave Optics 319 24.30 (a) Dark bands occur where ( ) sin ma θ λ = . At the first dark band, , and the distance from the center of the central maximum is 1 m = () 1 9 3 3 tan sin 600 10 m 1.5 m 2.25 10 m 2.3 mm 0.40 10 m yL L L a θθ  =≈=   × == × × = (b) The width of the central maximum is ( ) 1 2 2 2.25 mm 4.5 mm y 24.31 (a) Dark bands (minima) occur where ( ) si . For the first minimum, n = 1 m = and the distance from the center of the central maximum is ( ) 1 tan sin L a =≈ L = . Thus, the needed distance to the screen is 3 3 1 -9 0.75 10 m 0.85 10 m 1.1 m 587.5 10 m a Ly × × = × (b) The width of the central maximum is 1 2 2 0.85 mm 1.7 mm y 24.32 Note: The small angle approximation does not
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