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A electron of mass me revolves …

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A electron of mass me revolves around a nucleus of charge +Ze. Show that it behaves like a tiny magnetic dipole. Hence prove that the magnetic moment associated with it is expressed as vector e/2me vector L, where vector L is the orbital angular momentum of the electron. Give the significance of negative sign.

Posted by Prabha Paul 4 years, 9 months ago

CBSE > Class 12 > Physics

2 answers

Ghoshal Ghoshal 4 years, 9 months ago

When electron revolves around a nucleus, it creates circular current around it. In this way, it is equivalent to a current carrying coil. So, it behaves as a tiny magnetic dipole. We know that a current carrying coil behaves like a magnetic dipole having dipole moment equal to i A, where i is current and A is area of the coil. where, e is charge of electron. Angular momentum of electron is, L =mr2ω Substituting the above in equation. (i), we get Here negative sign indicates µ is directs away from L

Vivek Chaurasia 4 years, 9 months ago

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