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 4 6 1 cm 5.00 10 cm 5.00 10 m 2 000 d = = × = × sin d m Then, from θ λ = , the location of the first order for the red light is ( ) ( ) 9 1 1 6 1 640 10 m sin 7.35 5.00 10 m θ ×  = × sin m d λ = = ° 24.41 The grating spacing is 2 6 1 cm 10 m 3.636 10 m 2 750 2 750 = = = × d . From sin d m θ λ = , or ( ) 1 sin m d θ = λ , the angular positions of the red and violet edges of the second-order spectrum are found to be ( ) 9 1 1 r 6 2 700 10 m 2 sin sin 22.65 3.636 10 m red d λ θ × = = = × ° and ( ) 9 1 1 v 6 2 400 10 m 2 sin sin 12.71 3.636
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