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According to the quantum-mechanical model for the hydrogen atom, which of the following electron transitions would produce light with the longer wavelength: 4p2s or 4p1s? Match the items in the left column to the appropriate blanks in the sentences on the right. According to the quantum-mechanical model, as the quantum number n increases, the energy and the spacing between the energy levels Therefore, the transion would have a greater energy difference than the transition Lower energy is associated with wavelengths, thus the produce a longer wavelength