91Ó°ÊÓ

In this question, the number of points of zero probability that a matter wave have can be obtained by adding the number 1 to the principal quantum number. The number of points of maximum probability would be the same as the principal quantum number.

The expression to calculate the number of points of zero probability that a matter wave has are-

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

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.

$$\begin{gathered} {\left(N\right)}_0=17+1 \\ =18 \end{gathered}$$

Thus, the number of points of zero probability that a matter wave has are 18 .

The expression to calculate the number of points of maximum probability that a matter wave has is written as,

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

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

For the given values, the above equation becomes-

${\left(N\right)}_{max}=17$

Thus, the number of points of maximum probability that a matter wave has is 17 .