Question

what energy level and orbital shape are represented by the principal quantum number 5 and angular momentum quantum number 3?
5, 3
a 4s orbital.
a 5d orbital.
a 5f orbital
a 4h orbital.

Explanation:

The principal quantum number ($n$) defines the energy level, here $n=5$ means the 5th energy level. The angular momentum quantum number ($l$) defines orbital shape: $l=0$ is s, $l=1$ is p, $l=2$ is d, $l=3$ is f. Matching $n=5$ and $l=3$ gives the corresponding orbital.

Answer:

A 5f orbital