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Negative electron gain energy for hydro...

Negative electron gain energy for hydrogen atom means that

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The energy of the electron in a hydrogen atom has a negative sign for all possible orbits. What does this negative sign for all posible orbits. What does this negative sign convey? This negative sign means that the energy of the electron in the atom is lower than the energy of a free electron at rest. `A` free electron at rest is an electron that is infinitely far away from the nucleus and is assigned the energy value of zero.
As the electron gets closer to the nucleus (as `n` decreases), energy becomes larger in absolute value and more and more negative. The most negative energy value is given by `n=1` which corresponds to the most stable orbit. We call this as the ground state.
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Knowledge Check

  • What does negative sign in the electronic energy forhydrogen atom convey.

    A
    Energy of electron when `n=oo`
    B
    The energy of electron in the atom is lower than the energy of a free electron in motion
    C
    The energy of electron in the atom is lower than the energy of a free electron of rest
    D
    The energy of electron decreases as it moves away from nucleus
  • Magnetic moment due to the motion of the electron in nth energy of hydrogen atom is proportional to

    A
    n
    B
    `n^(0)`
    C
    `n^(5)`
    D
    `n^(3)`
  • What does the negative electronic energy (negative sign for all values of energy) for hydrogen atom means?

    A
    The energy of an electron in the atom is lower than the energy of a free electron at rest which is taken as zero.
    B
    When the electron is free from the influence of nucleus it has a negative value which becomes more negative.
    C
    When the electron is attracted by the nucleus the energy is absorbed which means a negative value.
    D
    Energy is released by hydrogen atom in ground state.
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