What is the angular momentum of an electron in an l = 4 level of the correct quantum mechanical hydrogen atom? A)1/2 Js B)0.5 * 10⁵ Js C)0.1 * 10²⁵ Js D)6.6 * 10^-23 Js E)4.6 * 10^-34 Js

Question

Quizplus · Accepted Answer

The angular momentum of an electron in a quantum mechanical hydrogen atom is given by the formula $L = \sqrt{l(l+1)}\hbar$, where $l$ is the azimuthal quantum number and $\hbar$ is the reduced Planck's constant ($\approx 1.0545718 \times 10^{-34}$ Js). For $l = 4$, $L = \sqrt{4(4+1)}\hbar = \sqrt{20}\hbar$. This does not directly match any of the options provided, but option E seems to be an attempt to represent a numerical value close to the correct calculation, considering the format of the options and common errors in representing scientific notation.

What Is the Angular Momentum of an Electron in an L