The following Eigen function is a typical solution of the time-independent Schrdinger equation and satisfies boundary conditions for a particle in a confined space of a certain length. (x)=L2sin(Lnx) (a) Plot the wave function as a function of x for L=30cm and n=1,2,3 and 4 . Note: You will need to have 4 plots in the same graph. (b) On a separate graph, plot the probability density (2) as a function of x using the conditions specified in part (a). Note: You will need to have 4 plots in the same graph. (c) Report your observations for parts (a) and (b) Note: In order to receive full credit, make sure you plot your results using EXCEL or MATLAB, label ALL axis, and define any variables used to model the waves