An electron is trapped in a one-dimensional infinite potential well. For what (a) higher quantum...

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An electron is trapped in a one-dimensional infinite potential well. For what (a) higher quantum number and (b) lower quantum number is the corresponding energy difference equal to the energy of the \( n=5 \) level? (c) Show that no pair of adjacent levels has an energy difference equal to the energy of the \( n=6 \) level.
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