The magnetic moment ( m _ orb ) of a revolving electron around the nucleus varies with the principal quantum number (n) as

Step-by-step solution

Orbital magnetic moment can be defined as, m _ orb = iA where, i = e T , r is the radius of the Bohr orbit, A = r ^2 is the area and T is the time period of uniform circular motion. ( m _ orb = e ( r ^2 ~T ) ) ...(1) Now, we can make use of the Bohr's hypothesis about angular momentum: ( mvr = nh 2 ) ...(2) and the velocity of the electron doing a period circular motion. ( vT =2 r ) ...(3) On dividing equation (2) by (3), and re-arranging, ( ( r^2 T )= n h 4 m ) ...(4) On plugging in above into equation (1), m _ or