In a muonic atom, a muon of mass of 200 times of that of electron and same charge is bound to the proton. The wavelengths of its Balmer series are in the range of

Step-by-step solution

A muon is an unstable elementary particle of mass nearly 200 m e and charge ± e . Here, a negative muon is given bound to a proton. So, m = 200 m e and M = 1836 m e (as mass of a proton is 1836 times of mass of electron) So, reduced mass of system, m ' = m M m + M = 200 m e × 1836 m e 200 m e + 1836 m e ≈ 180 m e As mass of muon is comparable to mass of proton, we have to take account of motion of nucleus. That's way we are calculating reduced mass. Now, as energy of an electron in n th orbit is of H -atom, E n = m