Calculate the angular momentum of an electron in a hydrogen atom.

To calculate the angular momentum of an electron in a hydrogen atom, we need to consider the quantum mechanical properties of the electron's motion within the atom. The angular momentum operator (\(L\)) is a fundamental operator in quantum mechanics, and its magnitude for an electron in a hydrogen atom can be determined using the following formula: \[L = \sqrt{l(l+1)}\hbar\] Where: - \(L\) is the magnitude of the angular momentum. - \(l\) is the orbital quantum number, which represents the shape of the electron's orbital. - \(\hbar\) (h-bar) is the reduced Planck constant, approximately equal to \(1.0545718 \times 10^....