The potential is constant but at different values in four re

The potential is constant, but at different values, in four regions: in (I), it is infinite, in
(II)-(IV) it is infinite at different values. Region (IV) extends to x=?. Also shown are
three total energies, E0-E2, E0 is the lowest allowed energy for the system. For each
energy in each region (I)-(IV), state which of the following characteristics of the
wavefunction is/are applicable:
a) has nodes
b) is zero.
c) Does not oscillate
d) Oscillates with greatest wavelength for this total energy.
e) Oscillates with least wavelength for this energy.
f) Oscillates with an intermediate wavelength for this energy.

Solution

e) Oscillates with least wavelength for this energy.