a. The wavefunction of various particles is shown in the figures below. According to Max Born's theorem, |Ψ(x,t)|^2 = |Ψ(x)|^2. Draw the probability distribution functions of these wavefunctions.
b. The first five wave functions for a particle in a box are shown below. Compared to the n=1 wave function, the n=5 wave function has:
A. the same kinetic energy (KE).
B. 5 times more KE.
C. 25 times more KE.
D. 125 times more KE.
E. none of the above.