I I) Laser light of wavelength uming from the left passes through a diffraction grating consisting of multiple narrow slits, each separated from its adjacent slit by a distance d, as shown. The light makes a pattern on a screen a distance L away, where L d (The vertical and horizontal scales are very different on the drawing.) TIW pattern has a central maximum, which aplkars as a bright spot (or "fringe") B,. There are alternating dark spots and bright spots or "fringes" on either side of Bo. Only Bo and one other bright fringe, B, , are shown here. 'Ihe angle is the angle from from Bo to B, a) Now consider the several distances shown by the diagonal lines in tl figure, from each slit to B, Note that all oftlwse lines are in reality all approximately parallel to each other, since L d . Tlwrefore, each diagonal line makes approximately the same angle, , with the dashed line. Each pair of adjacent diagonal lines are different from each other in length by AL . Write an equation for All , IN)th in terms of (i) A, and (ii) d and Bl . (Sketch a diagram to help. You might want to review a similar problem done in class for a double slit experiment.) b) Based on the previous results: (i) Find a general equation relating AL. , m, and I. (ii) Explain qualitatively the meaning of this equation. (iii) Find an equation relating m, A , d, and 9