ch36-p051 - 51. (a) Maxima of a diffraction grating pattern...

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(c) First, we set θ = 90° and find the largest value of m for which m λ < d sin . This is the highest order that is diffracted toward the screen. The condition is the same as m < d / λ and since d / λ = (6.0 × 10 –6 m)/(600 × 10 –9 m) = 10.0, the highest order seen is the m = 9 order. The fourth and eighth orders are missing, so the observable orders are m = 0, 1, 2, 3, 5, 6, 7, and 9. Thus, the largest value of the order number is m = 9. (d) Using the result obtained in (c), the second largest value of the order number is m = 7. (e) Similarly, the third largest value of the order number is m = 6. 51. (a) Maxima of a diffraction grating pattern occur at angles given by d sin = m λ , where d is the slit separation, λ is the wavelength, and m is an integer. The two lines are adjacent, so their order numbers differ by unity. Let
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.

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