Magnetic moment due to the motion of the electron in n th energy state of hydrogen atom is proportional to ..........

Step-by-step solution

Magnetic moment of a moving electron, which shown in the figure below, Current, i= e T = e 2 ( = 2 T ) As, magnetic moment, M=i A= e 2 R^2 M= e v 2 R R^2 ( = v R ) M= e v R 2 = e L 2 m where, L=m v r and L= n h 2 So, M= e n h 2 m M n e, h, m are constant of electron, Hence, the correct option is (b).