Discussion: Wave Functions 1. A particle is described by a wave function y(x) = Ae-ar", where A and a are real, positive

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Discussion Wave Functions 1 A Particle Is Described By A Wave Function Y X Ae Ar Where A And A Are Real Positive 1 (30.96 KiB) Viewed 49 times

Discussion: Wave Functions 1. A particle is described by a wave function y(x) = Ae-ar", where A and a are real, positive constants. If the value of a in increased, what effect does this have on (a) the particle's uncertainty in position and (b) the particle's uncertainty in momentum? Explain your answers. 2. Consider a wave function given by y(x) = A sin kx, where k = ** and A is a real constant. (a) For what values of x is there the highest probability of finding the particle described by this wave function? Explain. (b) For which values of x is the probability zero? Explain. 3. (a) Find the lowest energy level for a particle in a box if the particle is a billiard ball (m = 0.20 kg) and the box has a width of 1.3 m, the size of a billiard table. (Assume that the billiard ball slides without friction rather than rolls; that is, ignore the rotational kinetic energy.) (b) What is the difference in energy between the n = 2 and n = 1 levels?