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Question
An electron in an atom revolves round the nucleus in an orbit of radius r with frequency v. Write the expression for the magnetic moment of the electron.
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Solution
Magnetic moment of the electron revolving round the nucleus, m = I.A
Here, I = current produced due to moving electron and A = area of the orbit
\[\text { Now, m = I . A}\]
\[ = - e\nu\left( \pi r^2 \right)\]
\[ \therefore m = - \pi e\nu r^2\]
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