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Chemical dyes, which selectively absorb some wavelengths of visible light and appear with characteristic colors, are...

Chemical dyes, which selectively absorb some wavelengths of visible light and appear with characteristic colors, are typically large molecules where the distribution of chemical bonds allows some electrons to travel easily from one end of the molecule to the other. These electrons are effectively confined to a one-dimensional box. The wavelengths of light absorbed by the molecule are then related to its length.

If a particular dye has a length of 0.90 nm, determine the three longest wavelengths that the molecule can absorb assuming an electron starts in the lowest energy level.

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