91Ó°ÊÓ

The given data can be listed below as,

In this question, the number of points of zero probability and maximum probability of a matter can be obtained with the help of the principle quantum number.

The expression to calculate the number of points of zero probability does its matter have can be expressed as,

${\left(N\right)}_0=n+1$

Here,${\left(N\right)}_0$ is the number of points of zero probability does its matter have.

Substitute all the known values in the above equation.

$$\begin{gathered} {\left(N\right)}_0=4+1 \\ =5 \end{gathered}$$

Thus, the number of points of zero probability does its matter wave have is 5.

The expression to calculate the number of points of maximum probability does its matter have can be expressed as,

${\left(N\right)}_{max}=n$

Here,${\left(N\right)}_0$ is the number of points of maximum probability does its matter have.

Substitute all the known values in the above equation.

${\left(\mathrm{N}\right)}_{\max }=4$

Thus, the number of points of maximum probability does its matter wave have is 4.