The principle quantum number n characterizes the electronic interactions between the electron and the nucleus of an H-atom. (5 points) 1. Calculate the longest wavelength absorption (in nm) of the electron at the ground state. 2. Calculate the energy difference between the ground state and the 1st excited state. 3. Calculate the ratio of the probability of finding the electron at the first excited state over that at the ground state at 25oC. 4. Calculate the ratio of the probability of finding the electron at the first excited state over that at the ground state at 1000K. g