1. The problem statement, all variables and given/known data Where is the particle most likely to be found in the first excited state (n=2) ? It is in a rigid box of length a 2. Relevant equations wave function for a particle in a rigid box ψ(x)=(2/a)^1/2*sin(n[pi]x/a) 3. The attempt at a solution The answer is a/4 and 3a/4 . I know I need to maximize the function by setting it equal to zero, but I haven't really done this since calc 1 and I kind of forgot. If somebody could just guide me as to how to maximize this function, Much appreciated.