EXERCISE 2.10: We have now plotted energy level dia- grams for several systems (hydrogen atom, vibrating dia- tomic molecules, and rotating diatomic molecules) in this chapter. Make such an energy level sketch of the particle in a box system described in Problem 2.10. Problem 2.10: Suppose an electron is trapped in one dimension to a length of 2 nm, the length of some polymer. (a) What is the wavelength absorbed by such a system from the ground state to the first excited state? Hint: This can be modeled as a particle in a one-dimensional box." (b) How does the length of the polymer (the length of the box) affect the absorption wavelength from the ground state to the first excited state? In order to answer this question, use a spreadsheet to calculate the wavelengths associated with this transition for one-dimensional boxes that are from 1 to 200 nm in size at intervals of 10 nm. Make a plot of wavelength of absorption versus polymer length. EXERCISE 2.10: We have now plotted energy level dia- grams for several systems (hydrogen atom, vibrating dia- tomic molecules, and rotating diatomic molecules) in this chapter. Make such an energy level sketch of the particle in a box system described in Problem 2.10. Problem 2.10: Suppose an electron is trapped in one dimension to a length of 2 nm, the length of some polymer. (a) What is the wavelength absorbed by such a system from the ground state to the first excited state? Hint: This can be modeled as a particle in a one-dimensional box." (b) How does the length of the polymer (the length of the box) affect the absorption wavelength from the ground state to the first excited state? In order to answer this question, use a spreadsheet to calculate the wavelengths associated with this transition for one-dimensional boxes that are from 1 to 200 nm in size at intervals of 10 nm. Make a plot of wavelength of absorption versus polymer length