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What is the energy of a hydrogen atom in...

What is the energy of a hydrogen atom in the first excited state if the potential energy is taken to be zero in the ground state?

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The correct Answer is:
B, C
The potential energy of a hydrogen atom is zero in ground state.
an electron is board to the nucleus with energy `13.6 eV`. Then we have to give `13.6 eV` energy to cancel that energy.
Additional energy `=10.2 eV`.
:. Total energy of an atom in the first excitation state `= 13.6 eV + 10.2 eV`
`=23.8 eV`
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Knowledge Check

  • The ratio of energies of hydrogen atom in its first excited state to third excited state is

    A
    `1/4`
    B
    `4/1`
    C
    `3/4`
    D
    `4/3`

  • The ratio of the energies of the hydrogen atom in its first excited state to second excited state is

    A
    `(1)/(4)`
    B
    `(4)/(9)`
    C
    `(9)/(4)`
    D
    `(4)/(1)`

  • If potential energy of an electron in a hydrogen atom in first excited state is taken to be zero kinetic energy (in eV ) of an electron in ground state will be

    A
    `20.4 eV`
    B
    `10.2 eV`
    C
    `3.4 eV`
    D
    `5.1 eV`

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