19_Chapter 24 HomeworkCH24 Wave Optics

19_Chapter 24 HomeworkCH24 Wave Optics - Wave Optics 321(b...

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Wave Optics 321 (b) In the second order, . The second order images for the above wavelengths will be found at angles 2 m = ( ) [ ] 11 21 2 sin 2sin d sin θ λθ −− == m This yields: for 479 n λ = , 2 20.5 = ° ; for 647 nm = , 2 28.3 ; and for 698 nm = , 2 30.7 = ° 24.36 (a) The longest wavelength in the visible spectrum is 700 nm, and the grating spacing is 36 1 mm 1.67 10 mm 1.67 10 m 600 d × = × Thus, ( ) 6 max 9 1.67 10 m sin90.0 sin90.0 2.38 700 10 m red d m ×° ° = × so 2 complete orders will be observed. (b) From d sin = , the angular separation of the red and violet edges in the first order will be 99 1 1 66 700 10 m 400 10 m sin sin sin 1.67 10 m 1.67 10 m violet dd λλ sin red  ××    = ∆=         or 10.9 ° 24.37 The grating spacing is
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This document was uploaded on 10/20/2011.

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