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kinetic energy of electron and ground state of hydrogen atom An electron has a de Broglie wavelenght equal to the diameter of the Hydrogen atom
kinetic energy of electron and ground state of hydrogen atom
An electron has a de Broglie wavelenght equal to the diameter of the Hydrogen atom.
What is the kinetic energy of the electron?
How does this energy compare to the ground state of the hydrogen atom?
Expert Solution
An electron has a de Broglie wavelength equal to the diameter of the Hydrogen atom.
What is the kinetic energy of the electron?
How does this energy compare to the ground state of the hydrogen atom?
The diameter of the hydrogen atom is about m.
The de Broglie wavelength is ,
where h is Planck's constant and p is the momentum
so,
And , where m is the mass of the electron.
So the kinetic energy of the electron is
So
The ground state energy of hydrogen atom is 13.6 eV
The kinetic energy of the electron is greater than the ground state energy of the hydrogen atom.
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