3) The first quantum mechanical models that was studied was the behavior of an electron in a 1-D box, referred to as Particle in a Box (or Particle on a Wire). a) Which one of the figures below lets us determine the most likely position(s) of a Particle in a Box, in Mark these location(s) on the chosen figure. the n=5 energy state. Letter: A * B D AN mw b) What is the wavelength of the standing wave for the n = 6 energy state for an e in a box with L=2.67 ? E c) How much energy is required to promote the particle from this state into the n = 9 level? (Show units) d) If the box was longer, would the energy for the n = 6 state go up or down? No calculations! Just write a few words of explanation and give the relevant equation(s).