Oonsider the interaction of an electron with a barrier (i.e. the eis moving in one direction in a flat potential plane with zero potential everywhere except for the barrier, where the otential is v0 ). The barrier is characterized by the width of L=250pm but v0 is unknown. Ve hypothesize that v0 is 5eV(1eV=1.602176565(35)1019J). When performing two neasurements with particles of energy E1=3eV and at E2=7eV and obtain that the robability of transmission is approximately 15% and 80% respectively. Under the assumption that the barrier is rectangular with constant height and a fixed width L, use the expressions from the lectures and check whether the initial hypothesis about the barrier height is correct. If not, do you expect the barrier height to be higher or lower? Show your results and provide a detailed answer. If instead of electrons we used classically behaving particles, what would be the transmission coefficients be? Would we be able to check whether our hypothesis about the potential height is correct? Would the transmission coefficient for a classical particle depend on the width of the barrier