RW17 Name:____________About this assignmentSections 6.1-6.3, p. 212-220.1. The Franck-Hertz experiment involved shooting electrons into a low-density gas of mercury atoms and observing discrete amounts of kinetic energy loss by the electrons. Suppose instead a similar experiment is done with a very cold gas of atomic hydrogen, sothat all of the hydrogen atoms are initially in the ground state. If the kinetic energy of an electron is 11.6 eV just before it collides with a hydrogen atom, how much kinetic energywill the electron have just after it collides with and excites the hydrogen atom?Kfinal = _________________ eV2. Suppose you had a collection of a large number of hypothetical quantum objects, each of whose individual energy levels were -4.9 eV, -3.3 eV, -2.6 eV, and -1.9 eV. If nearly allof these identical objects were in the ground state, what would be the energies of dark spectral lines in an absorption spectrum if visible white light (1.8 to 3.1 eV) passes through the material? Give the energies in order of increasing energy, followed by answering “0” if there are no more dark lines within the visible spectrum. (That is, if youranswers were 1, 2, and 3 eV, you would give 1 on the first line, 2 on the second line, and 3 on the third line. If your answers were 1 and 2 eV, you would enter 1 on the first line, 2 on the second line, and 0 on the third line.)Smallest energy of a dark line: _____________________ eVNext larger energy of a dark line (or 0): __________________ eVLargest energy of a dark line (or 0): __________________ eV3. Suppose a collection of quantum harmonic oscillators occupies the lowest 4 energy levels, and the spacing between levels is 0.07 eV. What is the complete emission spectrum for this system?That is, what photon energies will appear in the emissions? Include all energies, whether or not they fall in the visible region of the electromagnetic spectrum. Enter the photon energies in order of increasing energy.Smallest photon energy = _________________ eVNext larger photon energy = _________________ eVLargest photon energy = ___________________ eV4. (a) Figure 6.27 (below) is a graph of potential energy vs. interatomic separation for a particular diatomic molecule (that is, a molecule consisting of two atoms).Figure 6.27For the energy level shown on the graph in Figure 6.27, imagine drawing a line whose length represents the kinetic energy when the interatomic separation is r0. This line runs from where to where?a. from 1 to 3 d. from 4 to 5b. from 1 to 2 e. from 2 to 5c. from 4 to 2 f. from 2 to 3(b) Figure 6.28 shows all of the quantized energies (bound states) for one of these molecules. For this molecule, E0 = -2.50 eV, E1 = -1.30 eV, E2 = -0.58 eV, and E3 = -0.22eV. What is the minimum amount of energy required to break a molecule apart, if it is initially in the ground state? (Note that the final state must be an unbound state; the unbound states are not quantized.)_______________ eVFigure 6.28 (c) If the temperature is high enough, in a collection of these molecules there will be at all times some molecules in each of these states, and light will be emitted. What photon energies will be observed in the emitted light? List the energies in ascending order, from smallest to largest._________ eV, _________eV, ________eV, _________eV, ________eV, ________eV5. Suppose we have reason to suspect that a certain quantum object has only three quantum states. When we excite a collection of such objects we observe that they emit electromagnetic radiation of three different energies: 0.5 eV (infrared), 2.1 eV (visible), and 2.6 eV (visible).(a) Draw a possible energy-level diagram for one of the quantum objects, which has threebound states. On the diagram, indicate the transitions corresponding to the emitted photons, and check that the possible transitions produce the observed photons and no others. When you are sure that your energy-level diagram is consistent with the observed photon energies, enter the energies of each level (K+U, which is negative). The energy K+U of the ground state is -6 eV.________________ eV = energy of highest level (2nd excited state)________________ eV = energy of next highest level (1st excited state)-6 eV = energy of ground state(b) The material is now cooled down to a very low temperature, and the photon detector stops detecting photon emissions. So the electrons are all in the lowest energy level, -6eV.Next a beam of light with a continuous range of energies from infrared through ultraviolet shines on the material, and the photon detector observes the beam of light afterit passes through the material. What photon energies in this beam of light are observed to be significantly reduced in intensity ("dark absorption lines")?Energy of highest-energy dark line: __________________ eVEnergy of lowest-energy dark line: _________________ eV(c) There exists another possible set of energy levels for these objects which produces thesame photon emission spectrum. On an alternative energy-level diagram, different from the one you drew in part (a), indicate the transitions corresponding to the emitted photons, and check that the possible transitions produce the observed photons and no others. When you are sure that your alternative energy-level diagram is consistent with the observed photon energies, give the energies of each level (K+U, which is negative). ______________ eV = energy of highest level (2nd excited state)______________ eV = energy of next highest level (1st excited state)-6 eV = energy of ground state(d) For your second proposed energy-level scheme, what photon energies would be observed to be significantly reduced in intensity in an absorption experiment ("dark absorption lines")?Energy of highest-energy dark line: __________________ eVEnergy of lowest-energy dark line: __________________ eVNote: One of these energies is the same and one is different from those for the other energy structure, in part b), thus adsorption spectra can be used to determine which is the correct energy structure.6. Some material consisting of a collection of microscopic objects is kept at a high temperature. A photon detector capable of detecting photon energies from infrared through ultraviolet observes photons emitted with energies of 0.2 eV, 0.5 eV, 0.7 eV, 2.1 eV, 2.6 eV, 2.8 eV. These are the only photon energies observed.(a) Draw a possible energy-level diagram for one of the microscopic objects, which has 4 bound states. On the