Question

1. Using the equation for the energy levels from Q2, describe whether all the energy levels are equally space, whether the energy levels become more closely spaced with larger n, or whether the energy levels become more largely spaced with larger n. Draw a new figure of 4 horizontal lines where each horizontal line corresponds to one energy level. Pace the horizontal lines vertically such that they match up with their energy levels, and are spaced accurately using a y-axis of energy that obeys the relation E = -13.6/n^2 eV.

2. Using this diagram, identify the largest energy transition between two adjacent energy levels. Find the energy, and also find the photon frequency that corresponds to this energy.

3. Identify the largest energy transition that can occur between any two levels in your diagram (they don’t need to be adjacent anymore.) Find the energy for this transition, and also find the photon wavelength that corresponds to this transition. (hint: for a photon, E = hc/lambda, where lambda is the wavelength of the photon, and hc = 1240 eV*nm).

Answer 1

E40.85eY E -1.51 ev E, 13.Gev Hecc, Ere» level s bocones nore closely spoccd with 2) usinduan langrt ee transition betuec^ adjoce ey levtls vil1 be 1-» 2 transition AE E,- E 10.20eV 13.5 12 ( 0.20 x167T9 f 2.46 x o5 Hz a: 1240 ev *n 121.56m 0.20