Electronic spectra of conjugated dye and test of free electron model

In a particle-in-a-box model the energy levels
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Which of the following statements is true about the electronic spectra of conjugated dyes?
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Which of the following statements is true about the electronic spectra of conjugated dyes?
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In the Free Electron Model, what is the effect of increasing the number of electrons in the conjugated system?
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What is the general trend observed in the electronic spectra of conjugated dyes as the length of the conjugated system increases?
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