The state of the atom is described by a wave function because a hydrogen atom attached to a metallic surface which is undergoing oscillatory motion so that that is proportional to the square of the atoms displacement from the metallic surface. Suppose the motion of the Haltom is constrained to one dimension among the x = 0 and x =Π and that the state is described by the un-normalized wave function Ψ (x) = x2. What is the value of "a" if the probability of finding the atom between x = 0 and x = a is 1/2.