Question

An electron with angular momentum L moving around the nucleus has a magnetic moment given by

1. e L/2m
2. e L/3m
3. e L/4m
4. e L/m

Answer 1

The magnetic moment of an electron is directly proportional to its angular momentum and is given by the formula μ = -(e/2me) * L, where e is the electron's charge, me is its mass, and L is its angular momentum.

Step-by-step explanation:

The question asks about the relationship between an electron's angular momentum (L) and its magnetic moment (μ). In physics, specifically quantum mechanics, the magnetic moment of an electron moving around a nucleus is related to its angular momentum by the equation:

μ = -(e/2m_e) * L

where e is the charge of the electron, m_e is the electron's mass, and L is the angular momentum. This relationship is derived from the fact that an electron has a magnetic dipole moment due to its charge and its orbital motion. The correct representation of the magnetic moment in terms of the angular momentum is given by option 1: eL/2m.