What is the gyromagnetic ratio of an orbital electron ? State its dime

1.	What is the gyromagnetic ratio of an orbital electron ? State its dimensions and the SI unit.
Answer» The ratio of the magnitude of the orbital magnetic moment to that of the orbital angular momentum of an electron in an atom is called its gyromagnetic ratio γ₀. If \(\vec M\)₀is the orbital magnetic moment of the electron with orbital angular momentum \(\vec L_0\), where e and me are the electronic charge and electron mass, respectively. Dimensions : [γ₀] = \(\cfrac{[charge]}{[mass]}\) = \(\cfrac{[TI]}{[M]}\) = M^-1 TI] SI unit : The coulomb per kilogram (C/kg). [Note : γ₀ = 8.794 × 10¹⁰ C/kg. The gyromagnetic ratio of electron spin is nearly twice that of an orbital electron.]

What is the gyromagnetic ratio of an orbital electron ? State its dimensions and the SI unit.

Answer»

The ratio of the magnitude of the orbital magnetic moment to that of the orbital angular momentum of an electron in an atom is called its gyromagnetic ratio γ₀. If \(\vec M\)₀is the orbital magnetic moment of the electron with orbital angular momentum \(\vec L_0\),

where e and me are the electronic charge and electron mass, respectively.

Dimensions : [γ₀] = \(\cfrac{[charge]}{[mass]}\) = \(\cfrac{[TI]}{[M]}\) = M^-1 TI]

SI unit : The coulomb per kilogram (C/kg).

[Note : γ₀ = 8.794 × 10¹⁰ C/kg. The gyromagnetic ratio of electron spin is nearly twice that of an orbital electron.]

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