The atoms of a certain mono-atomic gas encompass five energy levels: E1 = 0, E2 = 5.4 eV, E3 = 8.2 eV, E4 = 8.6 eV, and E5 = 12.4 eV, all measured up from E1. (i) When infrared light with wavelengths in the range from 3000 to 3200 nm shines through the gas, what transitions could it cause? When the gas was so cool that all atoms were in the ground state; would you anticipate observing these transitions? (ii) Answer the similar questions for UV having wavelengths 95 to 105 nm (iii) Determine at what wavelength light could de-excite the atoms from level 3 to level 2?