A) Plot the first five particle in a box wavefunctions for anelectron in a 10 Ã… box
(starting at n = 1). Choose two of these and plot theirprobability density. Offer a brief
interpretation.
B) (10) Calculate the probability you would find the electron inthe right-hand . of the
box (right-hand meaning larger values of the spatial variable)if the electron were
described by your fifth wavefunction (highest energy where n =5). Calculate the
probability you would find the electron in the left-hand 1/4 ofthe box
C) (15) Suppose your electron were described as an equalsuperposition of the first and
second wavefunctions. Normalize this new function and thencalculate the probability
you would find the electron in the right-hand 1/4 of the box.Calculate the probability
you would find the electron in the left-hand 1/4 of the box.
