[UPSC CSE 2000] Atomic Physics (Q117, 20M)

A \mu (of mass 207\text{ m}) is in the ground state of a muonic atom whose nucleus is Pb (Z = 82, A = 204, and radius = 7\text{ fm}). Calculate the first Bohr radius in units of the nuclear radius and the Rydberg constant in units of the Rydberg constant in units of the Rydberg constant of the hydrogen atom. Comment on your results.