21_Chapter 24 HomeworkCH24 Wave Optics

21_Chapter 24 HomeworkCH24 Wave Optics - 323 Wave Optics...

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Wave Optics 323 24.40 With 2 000 lines per centimeter, the grating spacing is 46 1 cm 5.00 10 cm 5.00 10 m 2000 d −− == × = × sin dm Then, from θ λ = , the location of the first order for the red light is ()( ) 9 11 6 1 640 10 m sin 7.35 5.00 10 m  ×  = ×  sin m d    ° 24.41 The grating spacing is 2 6 1 cm 10 m 3.636 10 m 2 750 2 750 d . From sin = , or ( ) 1 sin md = , the angular positions of the red and violet edges of the second-order spectrum are found to be ( ) 9 r 6 2 700 10 m 2 sin sin 22.65 3.636 10 m red d × = × ° and ( ) 9 v 6 2 400 10 m 2 sin sin 12.71 3.636 10 m violet d × × = ° Note from the sketch at the right that rr tan yL = and v tan v = , so the width of the spectrum on
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This document was uploaded on 10/20/2011.

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