An electron in a circular orbit of radius 0.05 ~nm performs 10¹⁶ revolution/second. What is the magnetic moment due to the rotation of electron? ( e =1.6 10⁻¹⁹ C )

Step-by-step solution

aligned & r =0.05 ~nm =0.05 10⁻⁹ ~m =5 10⁻¹¹ ~m & f =10¹⁶ r p . s & M = IA = ef r ^2 & =1.6 10⁻¹⁹ 10¹⁶ 3.14 (5 10⁻¹¹ )^2 & =1.26 10⁻²³ ~A - m ^2 aligned