17) A particle is described by the wave function 9(x) = A c0337\") for L /4 s x 3 U4 and = 0 otherwise 3.) Determine the normalization constant A b) What is the probability that the particle will be found between x=0 and x=L/8? 18) Consider a particle moving in a one-dimensional box with walls at x = -L/2 and x = U2 Consider possible wave functions of the form (a = Asin kit and 40 = Acoskx and apply the boundary conditions to obtain the allowed energy levels. Draw diagrams for the rst four wave mctions and compare the energies obtained for the solutions of the Schrodinger equation when the box walls were at x = 0 and x = L