Question

Explain the relationship between the quantum numbers n and l and the number of angular and radial nodes. You can do this with equations or words.

Answer 1

n is Principal quantum number that represents the shell of the last electron present in an atom . It also determines the size of the atom.

l is Azimuthal quantum number , also known as orbital angular momentum , which is represented by (n-1).

So for any value of n , l cannot be greater than n.

Node is the region in atom , where the probability of finding the electron is 0.

There are two types of nodes : radial and angular

Radial nodes are given be (n-l-1)

and angular nodes are given by l

So The total number of nodes (radial + angular) are given by (n-1)