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How is the angular momentum related to the magnetic moment?

How is the angular momentum related to the magnetic moment?

The magnetic moment M and the angular momentum L of sphere are related as M=2mxQ​L.

How do you find the magnetic moment of an electron?

The magnitude of the magnetic moment is given in Equation 8.20: μ = ( e 2 m e ) L = ( e 2 m e ) l ( l + 1 ) ℏ = μ B l ( l + 1 ) .

What is magnetic moment of an electron due to its orbital motion?

In atomic physics, the electron magnetic moment, or more specifically the electron magnetic dipole moment, is the magnetic moment of an electron caused by its intrinsic properties of spin and electric charge. The value of the electron magnetic moment is approximately −9.284764×10−24 J/T.

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What is the ratio of the magnetic moment of an electron to its angular momentum in the ground state of a hydrogen atom?

Now, we will proceed ahead by calculating the magnetic dipole moment of the electron. Hence, the ratio of magnetic dipole moment to the angular momentum of the electron in the first orbit of the Hydrogen atom comes out to be $\dfrac{e}{2m}$ . Hence, option (A) is the correct option.

What is magnetic angular momentum?

Angular Momentum in a Magnetic Field The magnetic energy contribution is proportional to the component of total angular momentum along the direction of the magnetic field, which is usually defined as the z-direction. If the external field is very strong, then it can decouple the spin and orbital angular momenta.

Which among the following are correct about angular momentum of electron?

The angular momentum (mvr) of electron in nth orbit is equal to nh/2π. Conclusion: Correct option is “d”. Note: nh/2π gives angular momentum of electron revolving in a circular orbit as proposed by Neils Bohr.

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What is the angular momentum of an electron in the third orbit of an electron?

As given electron is in third Bohr orbit, then n=3. Hence the angular momentum of an electron in the third Bohr orbit of a hydrogen atom is given by mvr=3h2π.

What is the relation between magnetic moment and angular momentum for an electron revolving in the first orbit of H atom?

For an electron revolving in an atom, the angular momentum is quantized as proposed by Niels Bohr….Magnetic Moment Of Revolving Electron And Bohr Magneton.

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How do you find Bohr’s magnetic moment?

Every electron has a permanent magnetic moment of amount μB = 9.27 × 10−24 J T−1 (Bohr’s magneton, BM), which is parallel to its spin s.

What is the magnetic moment of an electron due to its orbital motion Shaalaa?

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The magnetic moment of electrons due to orbital motion is proportional to n. Thus, M ∝ n (the principal quantum number).

Does Electron have magnetic field?

Every electron generates a magnetic field, but they only generate a net magnetic field when they all line up.