If r is the orbital radius and v is the orbital velocity of an electron in a hydrogen atom, then its magnetic dipole moment is

Step-by-step solution

The magnetic dipole moment of a revolving electron: The electron of change (– e ) performs uniforms circular motion around a stationary heavy nucleus of charge + Ze . This constitutes a current I . ∴ I = e T ...(i) Where, T is the time period of revolution. Let r be the orbital radius of electron and v the orbital speed. Then T = 2 π r υ ...(ii) Substituting the value of T in (i), we get I = e 2 π r υ = e υ 2 π r The magnetic moment ( m ) associated with this circular curre