Recall that the principal quantum number \(n\) defines the main energy level or shell of an electron in an atom. For \(n = 5\), we are looking at the fifth shell.
The possible subshells within a shell are determined by the azimuthal quantum number \(l\), which can take integer values from \(0\) to \(n-1\). For \(n = 5\), \(l\) can be \$0, 1, 2, 3,$ or \(4\).
Each value of \(l\) corresponds to a specific subshell: \(l=0\) is the \(s\) subshell, \(l=1\) is \(p\), \(l=2\) is \(d\), \(l=3\) is \(f\), and \(l=4\) is \(g\).
Therefore, the subshells present in the \(n=5\) shell are \$5s\(, \)5p\(, \)5d\(, \)5f\(, and \)5g$.
Compare this list to the answer choices to identify the correct one that includes all these subshells.