Answer
(a) When $n=17$, the matter wave has 18 points of zero probability.
(b) When $n=17$, the matter wave has 17 points of maximum probability.
Work Step by Step
For each $n$, the probability density $\psi_n^2(x)$ has $n+1$ points where the probability is zero.
For each $n$, the probability density $\psi_n^2(x)$ has $n$ peaks where the probability is a maximum.
(a) When $n=17$, the matter wave has 18 points of zero probability.
(b) When $n=17$, the matter wave has 17 points of maximum probability.
