The Total Energy of the Hydrogen Atom's Electron

In summary, the total energy of an electron in a hydrogen atom is normally -13.6 eV. Based on this fact, the correct statement is that the potential energy of the electron is -13.6 eV and the kinetic energy is +13.6 eV, making option 3 the correct answer. This is because the potential energy and kinetic energy together must equal the total energy. Option 5 is incorrect because it only considers the potential energy and does not account for the kinetic energy.
  • #1
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Homework Statement
The total energy of the electron in a hydrogen
atom is normally −13.6 eV.
Which one statement below, based on this
fact, is correct?
1. The work required to completely remove
the electron from the atom is 13.6 eV.
2. The electron is in a circular orbit with a
kinetic energy of 6.8 eV.
3. The electron has a potential energy of
−27.2 eV and a kinetic energy of +13.6 eV.
4. The kinetic energy of the electron in the
atom is +27.2 eV.
5. The potential energy of the electron in
the atom is −13.6 eV.
6. The electron stays at a “classical turning
point” such that the potential energy is +13.6
eV.
Relevant Equations
Potential plus kinetic equals total energy
Homework Statement:: The total energy of the electron in a hydrogen
atom is normally −13.6 eV.
Which one statement below, based on this
fact, is correct?
1. The work required to completely remove
the electron from the atom is 13.6 eV.
2. The electron is in a circular orbit with a
kinetic energy of 6.8 eV.
3. The electron has a potential energy of
−27.2 eV and a kinetic energy of +13.6 eV.
4. The kinetic energy of the electron in the
atom is +27.2 eV.
5. The potential energy of the electron in
the atom is −13.6 eV.
6. The electron stays at a “classical turning
point” such that the potential energy is +13.6
eV.
Homework Equations:: Potential plus kinetic equals total energy

I have attempted both 3 and 5, both wrong. It makes sense to me that for 3 it would add up to be -13.6, but for some reason, this is not the answer. Please help
 
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  • #2
I would post this in the Introductory Physics Homework Help, I believe advanced physics homework help is meant for upper undergraduate and graduate level physics. You'll probably get more help there
 
  • #3
What is your reasoning for 3 and 5 being right and the rest being wrong?
 

Related to The Total Energy of the Hydrogen Atom's Electron

1. What is the total energy of the hydrogen atom's electron?

The total energy of the hydrogen atom's electron is a combination of its kinetic energy and potential energy. It is described by the Schrödinger equation and can be calculated using the Bohr model or the quantum mechanical model.

2. How is the total energy of the hydrogen atom's electron related to its orbit?

The total energy of the hydrogen atom's electron is inversely proportional to the square of its orbit's radius. This means that as the electron's orbit gets closer to the nucleus, its total energy increases.

3. Does the energy of the hydrogen atom's electron change as it moves in its orbit?

Yes, the energy of the hydrogen atom's electron changes as it moves in its orbit. This is due to the fact that the electron's distance from the nucleus changes, affecting its potential energy. However, its total energy remains constant.

4. How does the total energy of the hydrogen atom's electron compare to other atoms?

The total energy of the hydrogen atom's electron is unique and cannot be compared to other atoms. This is because it is the only atom with one electron and its energy is determined by its specific orbit and distance from the nucleus.

5. Can the total energy of the hydrogen atom's electron be measured?

Yes, the total energy of the hydrogen atom's electron can be measured using spectroscopy techniques. By analyzing the light emitted or absorbed by the atom, scientists can determine the energy levels of the electron and calculate its total energy.

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