Question

how many orbitals are allowed in the subshell when $l = 2$?

Explanation:

Step1: Recall the formula for the number of orbitals

The number of orbitals in a sub - shell is given by \(2l + 1\), where \(l\) is the azimuthal quantum number.

Step2: Substitute \(l = 2\) into the formula

When \(l=2\), we calculate \(2l + 1\). Substitute \(l = 2\) into the formula: \(2\times2+1\).
First, calculate \(2\times2 = 4\), then \(4 + 1=5\).

Answer:

5