A:
D:
E
0.327 nm
$E_1$
II $U_{II}$
$U(x)$
B:
C:
Fig. 1(a)
2 nm (b)
I $U_I$
Fig. 2
Q2. (15 pts)
For the potential shown in Fig. 2. Assume that an electron with energy $E_1$ is incident from the left.
(a) Write the wave solutions that apply in Region I and II. (5 pts)
(b) Develop an expression for the wavelength of electrons in Region I in terms of the energy, $E_1$, of the electron and the potential
energy in Region I, $U_I$. (2.5 pts)
(c) Develop an expression for the wavelength of electrons in Region II in terms of the energy, $E_1$, of the electron and the potential
energy in Region II, $U_{II}$. (2.5 pts)
(d) Sketch the expected form of the solution for $\psi(x)$. (You may sketch it on the plot above, but explain it) (5 pts)
