c=if Speed of Light, = 3.0 x10 m/s Wein's Law: Jpeax T = 2.9x 10m-K Plank's Constant, h = 6.63x10 % J-s, 1eV=16x10"J Photon Energy: E =hf =hc/2 Photoelectric effect: hf=KE + W, ~ (13.6V) Bohr's atomic energy levels for hydrogen: E, n *** NOTE: DO NOT USE Rydberg formula need to use only Energy differences for the emitted photons wavelength *** 1. The ground state energy (n=1) of the hydrogen atom is -13.6 eV. (a) Calculate its energy when it is in the excited states of n =2, n=3 and n=4 (b) Determine the wavelength (in nm) of 2" visible line for a transition from n = 4 to n = 2 state. 2. (a) The ground state energy (n=1) of the hydrogen atom is -13.6 eV. Calculate its energy when it is in the excited statesofn=2,n=3,n=4and n =5. (b) Construct the energy level diagram for hydrogen atom label the energy value for each level and the corresponding n-values. (c) Calculate the wavelength of the emitted photon when the atom transition from n = 3 to n = 2 state (Balmer Series visible region). Indicated this transition in the energy level diagram. (d) Determine the wavelength of emitted photon when the atom transition from n = 2 to n = 1 state (Lyman series uv region) 3. The ground state energy (n=1) of the hydrogen atom is -13.6 eV. What is the longest wavelength light capable of ionizing a hydrogen atom in the ground state