Solved: Two parallel slits are illuminated by light

Chapter 27, Problem 27.52

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Two parallel slits are illuminated by light composed of two wavelengths. One wavelength is A 645 nm. The other wavelength is B and is unknown. On a viewing screen, the light with wavelength A 645 nm produces its third-order bright fringe at the same place where where the light with wavelength B produces its fourth dark fringe. The fringes are counted relative to the central or zeroth-order bright fringe. What is the unknown wavelength?

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