1. Monochromatic light from a distant point source is incident on two slits. The resulting graph of intensity versus 0 is shown below. Point ) is the center of the screen; points X and Z are minima. Intensity a. If one of the slits in the mask were covered, would the intensity at each of the following points increase, decrease, or stay the same? Explain your reasoning in each case. . point X * point Y * point Z b. Determine the ratio of the distance between the slits to the slit width, dia, for this case. Explain your reasoning. (Hint: Can you identify any "missing" interference maxima?) 2. Light from a laser (). = 633 nm) is incident on two slits. The resulting graph of relative intensity versus @ is shown at 0.8 right. (The center of the pattern is at 0=0') Relative intensity Calculate the slit width, a, and the distance between the slits, d. Make clear which features of the graph you use to answer. 0 1 2 3 4 5 6 7 8 9 10 0 (degrees)3. Monochromatic light from a distant point source is incident on two slits. The width of each slit is a and the distance between the centers of the slits is d. The resulting graph of relative intensity versus o is Relative intensity shown at right. (The center of the pattern is at 0 = 0'.) Sketch the relative intensity graph that would result when each of the following 0 1 2 3 4 5 6 7 8 9 10 changes is made. Your graphs should 8 (degrees) show the approximate locations of the maxima and minima and be qualitatively correct as to the relative sizes of the maxima. Explain your reasoning. a. The width of both slits is reduced to a/2, while keeping the spacing d fixed. 0.8 Relative intensity 04 0.2 0 1 2 3 4 5 6 7 8 9 10 @ (degrees) b. The distance between the centers of the slits is reduced to d/2, while keeping the width of the slits (a) 0.8 fixed. 0.6 Relative intensity 0.4 0.2 0 0 1 2 3 4 5 6 7 8 9 10 0 (degrees) c. A third slit of width a is added to the right of the existing slits, while keeping the distance between 0.8 adjacent slits (d) fixed. 0.6 Relative intensity 0.4 0.2 0 1 2 3 4 5 6 7 8 9 10 0 (degrees)