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 10 500 2 .. . cm 2000 m m µ sin . . θ λ × × = m d 1640 10 500 10 0128 9 6 m m ej 735 . P38.24 The principal maxima are defined by dm sin θλ = m = 012 ,,, . For m = 1 , λθ = d sin where is the angle between the central ( m = 0 ) and the first order ( m = 1 ) maxima. The value of can be determined from the information given about the distance between maxima and the grating-to-screen distance. From the figure, tan . . 0488 0284 m 1.72 m so 15 8 . and sin . = 0273. 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 5310 1 88 10 1 88 10 1 43 cm cm nm . The wavelength is × = d sin . . 188 10 0273 514 3 nm nm af . P38.25 The grating spacing is d = × 100 10 222 10 2 6 . . m 4500 m. In the 1st-order spectrum, diffraction angles are given by
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .

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