A key fact of the Bohr model is that the kinetic energy is ? times the potential

Question

A key fact of the Bohr model is that the kinetic energy is ? times the potential energy. Let?s say that we replace the electron with a muon (m Mu = 205me) and put it in orbit around a carbon nucleus instead of a single proton. (People sometimes use muons as probes of magnetic fields.) What is the de Brogue wavelength of the muon jilt is iii the ground state orbit around the nucleus? Possibly useful numbers: The atomic number of carbon is 6 and the atomic mass is 12. The energy of an electron in the ground state of a hydrogen atom is -13.6 eV. If you need any other masses, look at the front page.

Explanation / Answer

The bohr orbit is given as

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