Obtain the first Bohr’s radius and the ground state energy of a muonic hydrogen atom [i.e., an atom in which a negatively charged muon (μ−) of mass about 207me orbits around a proton].
The charge of the muon m=207me, Bohr radius is given as: re=1/me We know that for the first Bohr orbit re=0.53×10−10m So, at equilibrium, mr=mere The radius pf the muonic hydrogen atom r=2.56×−13m We also know that, Ee∝me; Ee=−13.6eV ⇒EEe=mme⇒E=−2.81 keV
