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

Step-by-step solution

The orbital magnetic moment m_ orb of an electron revolving in a circular orbit is given by the product of current I and area A : m_ orb = I A The current is I = e T , where T = 2 r v is the time period of revolution. The area of the orbit is A = r^2 . m_ orb = ( ev 2 r ) ( r^2) = evr 2 According to Bohr's quantization condition for angular momentum: m v r = nh 2 v r = nh 2 m Substituting the value of v r in the expression for m_ orb : m_ orb = e 2 ( nh 2 m ) m_ orb = n ( eh 4 m ) Since e , h , and m are constants,