What type of orbital (i.e.3s,4p,ldots ) is designated by these quantum numbers? a n=5,l=1,m_(1)=0 c n=2,l=0,m_(i)=0 b n=4,l=2,m_(1)=-2 d n=4,l=3,m_(l)=-3

The correct answer is option a: $n=5, l=1, m_{l}=0$.<br /><br />Explanation:<br />- The principal quantum number $n$ determines the energy level or shell of the orbital. In this case, $n=5$ indicates the 5th energy level.<br />- The azimuthal quantum number $l$ determines the subshell or type of orbital. Here, $l=1$ corresponds to the p-orbital.<br />- The magnetic quantum number $m_{l}$ determines the orientation of the orbital. In this case, $m_{l}=0$ indicates the z-axis orientation.<br /><br />Therefore, the orbital designated by these quantum numbers is the 5p orbital.