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The magnetic moment of an electron (e) revolving in an orbit around nucleus with an orbital angular momentum is given by:μ⃗ L=eL⃗ 2mμ⃗ L=−eL⃗ 2mμ⃗ l=−eL⃗ mμ⃗ l=2eL⃗ m

Question

The magnetic moment of an electron (e) revolving in an orbit around nucleus with an orbital angular momentum is given by:μ⃗ L=eL⃗ 2mμ⃗ L=−eL⃗ 2mμ⃗ l=−eL⃗ mμ⃗ l=2eL⃗ m

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Solution

It seems like there's a bit of confusion in your question as it's not clear what exactly you're asking. However, I can explain the concept related to the magnetic moment of an electron revolving in an orbit around a nucleus.

The magnetic moment (μ) of an electron in an atomic orbit is related to its angular momentum (L). The relationship is given by the equation:

μ = -eL/2m

Here, e is the charge of the electron, L is the angular momentum, and m is the mass of the electron. The negative sign indicates that the magnetic moment is antiparallel to the angular momentum.

This equation is derived from the Bohr model of the atom, which describes the behavior of an electron in an atom as it revolves around the nucleus. The magnetic moment is a measure of the electron's magnetic properties, while the angular momentum is a measure of its motion around the nucleus.

I hope this helps! If you have a more specific question or need further clarification, please let me know.

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