(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
This is the end of the preview. Sign up
access the rest of the document.
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.