The angle of incidence at a solid/liquid boundary is 59.6a? °, and the index of refraction of the solid is n = 1.55. (a what must be the index of refraction of the liquid such that the direction of the light entering the liquid is not changed? (b what is the largest index of refraction that the liquid can have, such that none of the light is transmitted into the liquid and all of it is reflected back into the solid?

An electron is trapped at a defect in a crystal. the defect may be modeled as a one-dimensional, rigid-walled box of width 1.00 nm. (a) sketch the wavefunctions and probability densities for the n 1 and n 2 states. (b) for the n 1 state, nd the probability of nding the electron between x1 0.15 nm and x2 0.35 nm, where x 0 is the left side of the box. (c) repeat (b) for the n 2 state. (d) calculate the energies in electron volts of the n 1 and n 2 states