A. Diffraction from a single slit 1. For a given diffraction pattern from a single slit, how would the width of the central bright fringe change if the width of the slit were increased by 50%, say from 10 um to 15 um? 2. How would the width of the central bright fringe change if the wavelength were decreased by one third, say from 600 nm to 400 nm? Make sure the red laser is off and place it at one end of your optics rail and the screen at the other end. Orient this setup so that the laser is pointed away from other students (toward the nearest wall if possible). Place the wheel labeled "Single Slits" no more than 5 cm away from the laser to maximize the distance L between the slit and screen. Rotate the wheel so that the slit of width a = 0.02 mm will be illuminated by the laser. Do not turn on the laser yet. 3. Derive an equation for the width w of the central bright region in terms of L, a, and 1 (which is 650 nm for this red laser). Use this equation to calculate the predicted width. Show your work.Now you will observe and analyze the interference of light waves passing through two slits. Make sure the red laser is off and place it at one end of your optics rail and the screen at the other end. Place the wheel labeled "Multiple Slits" no more than 5 cm away from the laser. Rotate the wheel to utilize the slits of width a = 0.08 mm and separation d = 0.25 mm. Do not turn on the laser yet. 1. There is an intensity maximum at the center of the pattern, despite the fact that you might think that location on the screen should be in the shadow of the center of the barrier and therefore be an intensity minimum. Explain how this maximum occurs.Predict what will happen to the interference pattern when you use slits of width 4 = 0.08 mm and separation d = 0.50 mm.slit width a and slit separation d. Describe how you can determine a and d by shining laser light through the slits. Be as specific as possible