n a Young's double-slit experiment, blue light (?λ = 440 m) gives a second-order bright fringe at a certain location on a flat screen.  What wavelength of visible light would produce a dark fringe at the same location?  Assume that the range of visible wavelengths extends from 380 to 750 nm. Calculate the wavelength that fulfills the problem description. Clearly show all steps, starting from generalized equations. Explain your mathematical work in words. Your explanation should cover both what you did, any approximations you make and the thought process behind why you did that. Evaluate your answer to determine whether it is reasonable or not. Consider all aspects of your answer (the numerical value, sign, and units) in your evaluation.

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Interference of Light

The word "constructive" signifies addition in interference. Constructive interference occurs when the path of the waves that start from the slit differs by 1 entire wavelength or in the intervals of the same. Hence, the waves that are presented on the screen are in phase (crest to crest/trough to trough). The waves interfering constructively forms bright fringes on the screen.