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  • An electron of charge e moves in a circular orbit of radius r around a nucleus at a frequency . The magnetic moment associated with the orbital motio

An electron of charge e moves in a circular orbit of radius r around a nucleus at a frequency \nu. The magnetic moment associated with the orbital motion of the electron is

Option: 1

\mathrm{\pi \nu e r^2 }


Option: 2

\mathrm{\frac{\pi \nu r^2}{e} }


Option: 3

\mathrm{\frac{\pi \nu e}{r^2} }


Option: 4

\mathrm{\frac{\pi e r^2}{\nu}}


Answers (1)

best_answer

The charge passing per second through any point of the path is \nu times the charge of the electron, i.e. \mathrm{I=~ v~ e}. If \mathrm{A}  is the area of the orbit, the magnetic moment is

\mathrm{m=I A=\nu e \pi r^2}

Hence the correct choice is (a).

Posted by

Suraj Bhandari

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