Problem 80 - Chemistry: An Atoms-Focused Approach

Question

What are the possible values of \(m_{\ell}\) when \(\ell=2 ?\)

Step-by-Step Solution

Answer

Answer: The possible values of \(m_{\ell}\) when \(\ell=2\) are -2, -1, 0, 1, and 2.

Step 1: Determine the values of \(\ell\)

In this exercise, we are given that \(\ell = 2\).

Step 2: Calculate the possible values of \(m_{\ell}\)

Recall that the possible values of \(m_{\ell}\) are whole numbers ranging from \(-\ell\) to \(\ell\). So, to determine the possible values of \(m_{\ell}\) when \(\ell=2\), write down the whole numbers between \(-2\) and \(2\).

Step 3: List the possible values of \(m_{\ell}\)

With \(\ell=2\), the possible values of \(m_{\ell}\) are: \(-2\), \(-1\), \(0\), \(1\), and \(2\).