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1075_Physics ProblemsTechnical Physics

# 1075_Physics ProblemsTechnical Physics - 416 Diffraction...

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416 Diffraction Patterns and Polarization Section 38.4 The Diffraction Grating P38.23 d = = × = 1 00 1 00 10 5 00 2 . . . cm 2 000 m 2 000 m µ sin . . θ λ = = × × = m d 1 640 10 5 00 10 0 128 9 6 m m e j θ = ° 7 35 . P38.24 The principal maxima are defined by d m sin θ λ = m = 0 1 2 , , , . For m = 1 , λ θ = d sin where θ is the angle between the central ( m = 0 ) and the first order ( m = 1 ) maxima. The value of θ can be determined from the information given about the distance between maxima and the grating-to-screen distance. From the figure, tan . . θ = = 0 488 0 284 m 1.72 m so θ = ° 15 8 . and sin . θ = 0 273 . θ 1.72 m 0.488 m FIG. P38.24 The distance between grating “slits” equals the reciprocal of the number of grating lines per centimeter d = = × = × 1 5 310 1 88 10 1 88 10 1 4 3 cm cm nm . . . The wavelength is λ θ = = × = d sin . . 1 88 10 0 273 514 3 nm nm e j a f . P38.25 The grating spacing is d = × = × 1 00 10 2 22 10 2 6 . . m 4 500 m . In the 1st-order spectrum, diffraction angles are given by
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