The excitation potential of hydrogen atom in the first excited state is

The Excitation Potential Of Hydrogen Atom In The First Excited Physics QuestionThe Excitation Potential Of Hydrogen Atom In The First Excited Physics Question

The excitation potential of hydrogen atom in the first excited state is

Options

(a) 13.6 V
(b) (-13.6 V)
(c) 10.2 V
(d) (-10 V)

Correct Answer:

10.2 V

Explanation:

Energy of electron in ground state of hydrogen atom,
E₁ = -1.36 eV [E(n) = (-13.6 / n²) eV]
Energy of electron in first excited state of hydrogen atom,
E₂ = -13.6 / 2² = – 3.4 eV
Hence, the excitation energy of hydrogen atom in first excited state,
E = E₂ – E₁ = – 3.4 – (-13.6) = 10.2 eV
Therefore, excitation potential is 10.2 V.

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