if n = 2, what is the maximum allowed value for ℓ?

Explanation:

Step1: Recall the relationship between (n) and (\ell)

The angular momentum quantum number (\ell) can take values from (0) to (n - 1).

Step2: Calculate the maximum value of (\ell)

Given (n=2), then (\ell_{\text{max}}=n - 1). Substitute (n = 2) into the formula: (\ell_{\text{max}}=2 - 1).

Answer:

(1)