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594-nm light passes through two slits and produces an interference pattern on a far-away screen. The first bright fringes are measured to be 0.2 mm

594-nm light passes through two slits and produces an interference pattern on a far-away screen. The first bright fringes are measured to be 0.2 mm to either side of the central maximum. Then, a different monochromatic light of unknown wavelength is used to generate an interference pattern using the same equipment. This time, the second bright fringes are measured to be 0.8 mm to either side of the central maximum. Find the unknown wavelength of the second light. Report your answer in nm rounded to zero decimal places. Don't type in the units.

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Hint: Since the screen is very far away, the angles involved are very small. Thus you may assume that tand ~ sind ~ 0

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