1. For electromagnetic radiation with a wavelength of 559.9 nm: (a) What is the frequency of the radiation (in s-1)? (b) What is the energy (in J) of one photon of the radiation? (c) What is the energy (in kJ) of one mole of photons of the radiation?
2. Hydrogen atoms absorb energy so that electrons can be excited to the n = 5 energy level. Electrons then undergo these transitions, among others: (a) n = 5 → n = 4 (b) n = 5 → n = 3 (c) n = 4 → n = 2 (i) Which transition produces a photon with the least energy? (ii) Which transition produces a photon with the highest frequency? (iii) Which transition produces a photon with the shortest wavelength?
3. An atom of some element X has three electronic transitions, A, B, and C. Suppose that it has been found that the wavelength for transition A is 495.1 nm and that for B is 602.2 nm. (a) What is the energy (in J) for a photon given off in transition C? (b) What is the wavelength (in nm) for transition C?