The four graphs below represent wave functions of an electron in an infinite one-dimensional square well of width L = nm. The wave functions are, of course, zero outside the well.

For 0 <= x <= L the wave functions all have the form (2/L)^1/2 sin(2px/l), and l is different for each wave function. For each of the four wave functions find l, and find the corresponding energy of the electron. Assume that the potential energy within the well is zero.

Wave function 1:

l= nm   

E = eV.

Wave function 2:

l= nm   

E = eV.

Wave function 3:

l= nm   

E = eV.

Wave function 4:

l= nm   

E = eV.