Consider a simple model of photosynthesis in which the light absorbing molecule (e.g. chlorophyll) defines a “box” size for an active electron (box length = L). The electron initially sits in the ground state (n=1) before a photon “kicks” it into the first excited state (n=2).

1) Calculate the energy of the electron in the ground state

2) Calculate the energy of a photon needed for the n = 1 to n = 2 transition

3) How big of a box is needed to absorb a 475 nm photon of blue light?