3. Consider the hydrogen atom as a small planetary system with the proton playing the role of the sun and the electron as a planet such as the earth. For a circular orbit the speed of the electron around the proton is given by U = ac where C is the speed of light and a is the fine structure constant. What is the distance of the electron from the proton? What is the speed of the electron around the proton? What is the kinetic energy of the hydrogen atom? What is the total mechanical energy of the hydrogen atom? What is the ionization energy of the hydrogen atom? [The ionization energy of a system of particles is the minimum energy necessary to separate all of the particles from each other with infinite separation distance from each other, so that at infinite separation their mutual interaction energies (potential energies between any two particles of the system) all vanish.]
3. Consider the hydrogen atom as a small planetary system with the proton playing the role of the sun and the electron as a planet such as the earth. For a circular orbit the speed of the electron around the proton is given by U = ac where C is the speed of light and a is the fine structure constant. What is the distance of the electron from the proton? What is the speed of the electron around the proton? What is the kinetic energy of the hydrogen atom? What is the total mechanical energy of the hydrogen atom? What is the ionization energy of the hydrogen atom? [The ionization energy of a system of particles is the minimum energy necessary to separate all of the particles from each other with infinite separation distance from each other, so that at infinite separation their mutual interaction energies (potential energies between any two particles of the system) all vanish.]
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Chapter 21 and 22, Problem 3
![3. Consider the hydrogen atom as a small planetary system with the proton playing the role of the
sun and the electron as a planet such as the earth. For a circular orbit the speed of the electron around
the proton is given by
U = QC
where C is the speed of light and a is the fine structure constant. What is the distance of the electron
from the proton? What is the speed of the electron around the proton? What is the kinetic energy of the
hydrogen atom? What is the total mechanical energy of the hydrogen atom? What is the ionization energy
of the hydrogen atom? [The ionization energy of a system of particles is the minimum energy necessary
to separate all of the particles from each other with infinite separation distance from each other, so that
at infinite separation their mutual interaction energies (potential energies between any two particles of the
system) all vanish.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3edbe93-d39c-43f4-8aa9-2c034a88e626%2F8dcebb48-a56d-435a-9dd5-501333215f75%2Frp3o814_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Consider the hydrogen atom as a small planetary system with the proton playing the role of the
sun and the electron as a planet such as the earth. For a circular orbit the speed of the electron around
the proton is given by
U = QC
where C is the speed of light and a is the fine structure constant. What is the distance of the electron
from the proton? What is the speed of the electron around the proton? What is the kinetic energy of the
hydrogen atom? What is the total mechanical energy of the hydrogen atom? What is the ionization energy
of the hydrogen atom? [The ionization energy of a system of particles is the minimum energy necessary
to separate all of the particles from each other with infinite separation distance from each other, so that
at infinite separation their mutual interaction energies (potential energies between any two particles of the
system) all vanish.]
Expert Solution
Step 1
Here, the hydrogen atom is considered to be a system similar to planetary motion with the proton as the center or considered as the sun and the electron is the planet.
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