All Problems

Scattering of Particles. Rutherford-Bohr Atom

Problem 6.24

For hydrogen-like systems find the magnetic moment \(\mu_{n}\) corresponding to the motion of an electron along the \(n\) -th orbit and the ratio of the magnetic and mechanical moments \(\mu_{n} / M_{n}\). Calculate the magnetic moment of an electron occupying the first Bohr orbit.

Reveal Answer
μn=ne/2mc,μn/Mn=e/2mc,μ1=μB\mu_{n}=n e \hbar / 2 m c, \quad \mu_{n} / M_{n}=e / 2 m c, \mu_{1}=\mu_{B}