Answer
$
\text { The greatest allowed value of } L_{\mathrm{orb}, z} \text { is given by }
\\\left|m_{\ell}\right|_{\max } h / 2 \pi=3 h / 2 \pi \text {. }
$
Work Step by Step
$
\text { The greatest allowed value of } L_{\mathrm{orb}, z} \text { is given by }
\\\left|m_{\ell}\right|_{\max } h / 2 \pi=3 h / 2 \pi \text {. }
$
