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1) Single and double slit diffraction 7 pts Question 1a: 1 pts Describe the similarities and differences between the diffraction patterns for slits a and b. Does the change in pattern support the theory of single slit diffraction patterns? Question 1b: 1 pts Describe the similarities and differences between the diffraction patterns for slits a and c. Does the change in pattern support the theory of adding a second aperture (double slit) for the laser light to go through? Question 1c: 1 pts Are you convinced that light exhibits wave-like properties based on the photographs of the diffraction patterns and your qualitative observations so far? Why or why not? Calculation 1a: 2 pts Calculate the width of the central bright fringe for diffraction pattern b. NB. You may use the given value of the wavelength 1 = 636 nm. You may use the small angle approximation in your calculation. Calculation 1b: 2 pts Count the number of bright interference fringes you see within the central envelope in the photograph of pattern d. Calculate the theoretical number of interference fringes there should be within the central envelope. Does the number of fringes you count agree with theoretical number of fringes there should be in the central envelope for the width you found in Calc. la? Hint: Count how many small interference fringes are on either side of the central small fringe and calculate the distance from farthest fringe to the central fringe. This distance should fit within half the width of the central fringe.1) Single and double slit diffraction For this part, you use a red laser pointer [given wavelength of 636 nm), a series of diffraction slits [both single and double), and a black screen. You set up the items on your optical rail so that the laser points through the slit[s] and creates a diffraction pattern on the screen [just like what is shown in Figure 2a and 2b of the lab manual]. The slits are a distance D = 40.0 cm from the screen. You notice the patterns show regions of both constructive [bright spots] and destructive [dark spots] interference. For each of the slits you take a photograph of the diffraction pattern [Figure 1 below). The properties of the four slits are: Slit a: single slit with a = I}. 08 mm width Slit b: single slit with a = 0. 04- mm width Slit c: double slit with a = 0.08 mm width and d = I]. 25 mm separation Slit d: double slit with a = 0. 04- mm width and d = 0. 25 mm separation Fig. 1 Photographs of diffraction patterns for a series of single and double slits using a red laser