The wave function of a particle subjected to a spherically symmetrical potential V(r) is given by (x)=(3x+2y+5z)f(r). (1) a) Is an eigenfunction of L² ? If so, what is the l-value? If not, what are the possible values of that we may obtain when L² is measured? b) What are the probabilities for the particle to be found in various m₁ states?