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Mass of a negatively charged muon,
According to Bohr’s model,
Bohr radius,
And, energy of a ground state electronic hydrogen atom,
We have the value of the first Bohr orbit,
Let rμ be the radius of muonic hydrogen atom.
At equilibrium, we can write the relation as:
Hence, the value of the first Bohr radius of a muonic hydrogen atom is
2.56 × 10−13 m.
We have,
Ee= − 13.6 eV
Take the ratio of these energies as:
Hence, the ground state energy of a muonic hydrogen atom is −2.81 keV.
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