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Homework 03

# 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 = = Δ PROBLEM 22.52 : The figure shows the light intensity on a screen behind a single slit. The wavelength of the light is 600 nm and the slit width is 0.15 mm. What is the distance from the slit to the screen? The formula below is for the dark spots. The first dark spots are 0.5 cm from either side of the central maximum.

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

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