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From the intensity function for two point sources, the location and intensity of the peak can easily be calculated. It is very different for

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From the intensity function for two point sources, the location and intensity of the peak can easily be calculated. It is very different for the intensity function of a single finite-width slit in that neither the location nor intensity of the maxima have an simple closed-form analytic solution, except for the central maximum. However, we can approximate the location as the mid-point of surrounding minima, and we can exactly calculate the intensity at that approximated location. For this problem, asume that the intensity of the central maximum is exactly 1. a. b. C. d. Using this approximation, where are the first two maxima away from the central maximum? Using this approximation, what is the intensity at the first maximum? Similarly, what is ratio of intensities of the second maximum to the first maximum? While there is no analytic solution for the location of the maxima, you can numerically find better approximations than you did above. Find the locations and intensities of the first two maxima away from the central maximum to at least three significant figures. How much different are these answers from the approximate answers you found in the previous parts of this problem?

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