A gyromagnetic ratio of the electron revolving in a circular orbit of hydrogen atom is 8.8×1010Ckg−1 What is the mass of the electron? Given, charge of the electron =1.6×10−19C

We know that Magnetic moment M=iA Where, i=ev2πr,A=πr2&M=ev2πr×πr2⇒M= evr 2 and angular momentum Dividing Eq. (i) by Eq. (ii), we getML=e2m where M/L=gyromagnetic ratio. Given, ML=8.8×1010C/kg,e=1.6×10−19Cm=e2ML=1.6×10−102×8.8×1010=888×10−29=111×10−29kg