The Wave Function for a Particle in a One-Dimensional Box $\varPsi$

Multiple Choice

The wave function for a particle in a one-dimensional box of length L

A) is constrained by the boundary conditions $\varPsi$ 0) = 0 and $\varPsi$ (L) = 0.
B) must be zero everywhere outside of the box.
C) is given by $\varPsi$ (x) = A sin kx,where A is a constant.
D) restricts the possible energy of the particle to E = .
E) All of these are correct.