A particle in a one dimensional box of width L in the n = 3 state is most likely to be found at
A)L/6,L/2,5L/6.
B)L/4,L/2,3L/4.
C)L/3,L/2,L.
D)L/2,2L/3,3L/4.

Question

Quizplus · Accepted Answer

In the n = 3 state of a particle in a one-dimensional box, the probability density function has two nodes (points where the probability density is zero), dividing the box into three regions where the particle is likely to be found. These regions are centered around L/6, L/2, and 5L/6, corresponding to the peaks of the wave function's squared magnitude, which represents the probability density.

A Particle in a One Dimensional Box of Width L