The ground state energy of an oscillating electron is 1.23 eV. How much energy must be added to the electron to move it to the third excited

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The ground state energy of an oscillating electron is 1.23 eV. How much energy must be added to the electron to move it to the third excited state? The fourth excited state?

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Vodka 5 years 2021-08-14T22:02:59+00:00 1 Answers 13 views 0

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  1. Dau
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    2021-08-14T22:04:47+00:00
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    Answer:

    • The energy that must be added to the electron to move it to the third excited state is  -1.153 eV
    • The energy that must be added to the electron to move it to the fourth excited state is  -1.181 eV

    Explanation:

    Given;

    Energy of electron in ground state (n = 1 ) = 1.23 eV

    E₁ = 1.23 eV

    Eₙ = E₁ /n²

    where;

    E₁ is the energy of the electron in ground state

    n is the energy level,

    For third excited state, n = 4

    E₄ = E₁ /4²

    E₄ = (1.23 eV) / 16

    E₄ = 0.077 eV

    Change in energy level, = E₄ – E₁ = 0.077 eV – 1.23 eV = -1.153 eV

    The energy that must be added to the electron to move it to the third excited state is  -1.153 eV

    For fourth excited state, n = 5

    E₅ = E₁ /5²

    E₄ = (1.23 eV) / 25

    E₄ = 0.049 eV

    Change in energy level, = E₅ – E₁ = 0.049 eV – 1.23 eV = -1.181 eV

    The energy that must be added to the electron to move it to the fourth excited state is  -1.181 eV

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