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20_Ch 24 College Physics ProblemCH24 Wave Optics

# 20_Ch 24 College Physics ProblemCH24 Wave Optics - 322...

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322 CHAPTER 24 24.38 (a) If 4 1 cm 6.67 10 cm 6.67 10 m 1500 == × = × 6 d , the highest order of 500 nm λ = that can be observed will be ( )( ) 6 max 9 6.67 10 m 1 sin90 13 500 10 m d m × ° × .3 = or 13 orders (b) If 57 1 cm 6.67 10 cm 6.67 10 m 15 000 −− × = × d , then ( )( ) 7 max 9 6.67 10 m 1 1.33 500 10 m d m × ° × = or 1 order 24.39 The grating spacing is 46 1 cm 2.00 10 cm m 5 000 × = × d , and sin dm θ = gives the angular position of a second order spectral line as 2 n d si = or 1 2 sin d  =   For the given wavelengths, the angular positions are ( ) 9 1 1 6 2 610 10 m sin 37.6 m  ×  ×  ° and ( ) 9 m 28.7 m 1 2 6 24 8 0 1 0 sin
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