2. (10 ) Consider a particle in a two dimensional box of length 1/2b in the x direction and b in the y direction; i.e. the dimensions are: 1/2bb (a) Draw a diagram containing the lowest 6 energy levels* of a particle in a two dimensional box of dimensions 1/2bb. Put the energies in units of h2/8mb2, and give the degeneracy of each level. Note: A doubly degenerate level would count as only 1 of the 6 levels)