In a Young's double-slit experiment, two parallel slits with a slit separation of 0.170 mm are illuminated by light of wavelength 584 nm, and the interference pattern is observed on a screen located 3.60 m from the slits.

a) What is the difference in path lengths from each of the slits to the location of the center of a second-order bright fringe on the screen?

b) What is the difference in path lengths from the two slits to the location of the center of the second dark fringe away from the center of the pattern?

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