In a "muonic" atom an electron is replaced by a muon of mass 105.66 MeV which orbits a proton.What is the ground-state energy of the muon in this type of atom?
A)-281 eV
B)-632 eV
C)-1264 eV
D)-2528 eV
E)-3254 eV

Question

Quizplus · Accepted Answer

The ground-state energy of a muonic atom is calculated using the formula for the hydrogen atom, but with the muon's mass replacing the electron's mass. The energy is proportional to the reduced mass of the system, which is much larger for a muon than for an electron, resulting in a higher energy level. The correct calculation gives approximately -2528 eV.

In a "Muonic" Atom an Electron Is Replaced by a Muon