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An electron is trapped in a one-dimensio...

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 diflerence `DeltaF_(43)` between levels n = 4 and n = 3? (c) Show that no pair of adjacent levels has an energy difference equal to `2DeltaE_(43)`.

Text Solution

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(a) 11, (b) 10
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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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Knowledge Check

  • With increasing quantum numbers, the energy difference between adjacent energy level atoms

    A
    increases
    B
    decreases
    C
    will be same
    D
    either 'a' or 'b'

  • With increasing principal quantum number , the energy difference between adjacent energy levels in atoms

    A
    Decreases
    B
    Increases
    C
    Remains constant
    D
    Decreases for low Z and increases for high Z

  • With the increase in peinciple quantum number, the energy difference between the two successive energy levels

    A
    increases
    B
    decreases
    C
    remians constant
    D
    sometimes increases and sometimes decreases

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