A muon behaves like an electron except that it has 207 times the mass of the electron. If a muon were bound to a proton, how would the energy levels in the Bohr model compare to those for a bound electron? A) They would be 207 times as much as those for the electron. B) They would be (207)² times as much as those for the electron. C) They would be the same. D) They would be (1/207) times as much as those for the electron.

Question

Quizplus · Accepted Answer

The energy levels in the Bohr model are inversely proportional to the reduced mass of the system. Since the muon is 207 times more massive than the electron, the reduced mass of the muon-proton system is approximately 207 times greater than that of the electron-proton system, leading to energy levels that are 207 times greater.

A Muon Behaves Like an Electron Except That It Has