Final answer:
The magnetic moment of an electron with angular momentum l is given by B. e/2m l, which is derived from the relationship between the electron's magnetic moment and angular momentum, taking into account the electron's charge, mass, and intrinsic spin.
Step-by-step explanation:
The student asked, "An electron moving around the nucleus with an angular momentum l has a magnetic moment of what value?" The correct answer to this question is B. e/2m l.
The relationship between the magnetic moment μ and the angular momentum L of the electron is given by
μ = (e/2m)L, where e represents the charge of the electron, and m is the mass of the electron.
This equation is a result of the quantization of angular momentum and the intrinsic electron spin.
It is crucial to note that the electron has a fundamental property called spin, which contributes to its overall magnetic moment. The magnetic moment is also related to the intrinsic spin of the electron, characterized by the spin quantum number.