The atomic number and ground-state electron configuration for neutral atoms of \(\text{Na}\) and \(\text{Mg}\) are shown in the table below.

Element	Atomic number (\(Z\))	Ground-state electron configuration
\(\text{Na}\)	\(11\)	\(1s^2 2s^2 2p^6 3s^1\)
\(\text{Mg}\)	\(12\)	\(1s^2 2s^2 2p^6 3s^2\)

Which of the following correctly identifies the element whose \(1s\) electrons have the greater binding energy in a photoelectron spectrum, and provides the correct justification?