Question

what is the maximum number of d orbitals in a principal energy level?

Explanation:

Step1: Recall orbital types and their numbers

In quantum mechanics, for a given sub - shell (denoted by \(l\) value), the number of orbitals is \(2l + 1\). For \(d\) orbitals, \(l=2\).

Step2: Calculate the number of \(d\) orbitals

Using the formula \(N = 2l+1\), substitute \(l = 2\). Then \(N=2\times2 + 1=5\).

Answer:

\(5\)