The Wave Function for a Particle in a One-Dimensional Box $\Psi = A \sin \left( \frac { n \pi x } { L } \right)$

Multiple Choice

The wave function for a particle in a one-dimensional box is $\Psi = A \sin \left( \frac { n \pi x } { L } \right)$ .Which statement is correct?

A) This wavefunction gives the probability of finding the particle at x.
B) | $\Psi$ (x) |² gives the probability of finding the particle at x.
C) | $\Psi$ (x) |² $\Delta$ x gives the probability of finding the particle between x and x + $\Delta$ x.
D) $\int _ { 0 } ^ { L } \Psi ( x ) d x$ gives the probability of finding the particle at a particular value of x.
E) $\int _ { 0 } ^ { L } | \Psi ( x ) | ^ { 2 } d x$ gives the probability of finding the particle between x and x + $\Delta$ x.