When a Particle of Energy E Encounters the Step Function

Multiple Choice

When a particle of energy E encounters the step function shown in the figure,

A) the classical and quantum-mechanical descriptions are in agreement provided
E < U₀.
B) the wave function does not go to zero at x = 0 but rather decays exponentially.
C) the particle will sometimes be transmitted and sometimes reflected if E > U₀.
D) the wavelength of the particle changes abruptly at x = 0 if E > U₀.
E) All of these are true.