Answer
The possible values of $l_m$ for $m=2$ is $-2, -1, 0, 1, 2$.
Work Step by Step
*NOTES TO REMEMBER:
- The angular momentum quantum number $l$ can have values from $0$ to $(n-1)$ for each value of $n$.
- The magnetic quantum number $m_l$ can have integral values from $-l$ to $l$, including $0$.
Therefore, the possible values of $l_m$ for $m=2$ is $-2, -1, 0, 1, 2$.