(a) Use the Living Graphs on the Web site for this book to plot the particle-in-a-box wavefunction for n = 2 and L = 1 m. 

(b) How many nodes does the wavefunction have? Where do these nodes occur? 

(c) Repeat parts (a) and (b) for n = 3. 

(d) What general conclusion can you draw about the relation between n and the number of nodes present in a wavefunction? 

(e) Convert the n = 2 plot to a probability density distribution: at what values of x is it most likely to find the particle? 

(f) Repeat part (e) for n = 3.