The wave function of a particle is known to have the form u(r, 0, 0) = AR(r) f(0) cos 2, where f is an unknown function of 0. What can be predicted about the results of measuring: . the z-component of angular momentum; . the square of the angular momentum? Hint: Note that cos 20 = {exp(2ig) + exp(-2i)}/2. Answer the same questions for the wave function u(r, 0, 0) = AR(r) f(0) cos2