Homework 03 - HOMEWORK 3 SOLUTIONS PROBLEM 22.40: A...

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HOMEWORK 3 SOLUTIONS PROBLEM 22.40 : A diffraction grating produces a first-order maximum at an angle of 20.0 degree(s). What is the angle of the second-order maximum? () 0 1 2 0 2 2 0 m 43 684 . 0 sin 684 . 0 20 sin 2 sin d 2 sin d 20 sin d m sin = = θ = = θ λ = θ λ = λ = θ PROBLEM 22.42 : White light (400-700 nm) is incident on a 600 (line)/(mm) diffraction grating. What is the width of the first-order rainbow on a screen 2.0 m behind the grating? For the 400 nm extreme: () () () m 49 . 0 9 . 13 tan m 0 . 2 9 . 13 tan L y 9 . 13 24 . 0 m 10 67 . 1 m 10 400 sin m 10 67 . 1 mm 10 67 . 1 600 1 a L y tan a m sin 0 0 1 0 6 9 6 3 mm lines m m m = = = = θ = × × = θ × = × = = = θ λ = θ For the 700 nm extreme: () () () m 93 . 0 8 . 24 tan m 0 . 2 8 . 24 tan L y 8 . 24 42 . 0 m 10 67 . 1 m 10 700 sin 0 0 1 0 6 9 = = = = θ = × × = θ The width is the difference between these two: m 44 . 0 m 49 . 0 m 93 . 0 y = =
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This note was uploaded on 04/10/2008 for the course PY 2404 taught by Professor Cardenas during the Spring '08 term at Saint Mary's University Texas.

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Homework 03 - HOMEWORK 3 SOLUTIONS PROBLEM 22.40: A...

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