The principal quantum number (n) is needed to determine the energy of an electron in a many-electron atom
<h3>Further explanation</h3>
In an atom, there are energy levels in the shell and sub shell.
This energy level is expressed in terms of electron configurations.
Writing the electron configuration starts from the lowest to the highest subshell's energy level. There are 4 sub-shells in an atom's shell, namely s, p, d, and f.
Each sub-shell also has orbitals drawn in the form of a square box in which there are electrons symbolized by half arrows.
Each orbital in an atom consists of 4 quantum numbers
n is the principal quantum number ---> describes the size of the orbitals
l is the angular momentum / azimuthal quantum number -> describes the shape of the orbitals.
ml, the magnetic quantum number -> describes the orientation of orbitals in space
ms, the electron-spin quantum number ---> describes the spin of electrons
Value of n: positive integer
value of l: s = 0, p = 1, d = 2, f = 3, ... (n-1)
ml value: between -l to + l
ms value: +1/2 or -1/2
The energy of the electrons is indicated by the value of n, because electrons can move between the shell by releasing energy or absorbing energy. the greater the value of n, the greater the electron energy
. The Value of n = 1 is the lowest energy level
So the correct answer is a)n
<h3>
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Keywords: orbitals, subshells, quantum numbers