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Transcript
PHY 335 Exam III Name ________________________ Instructions: Place your name on all of the pages. Do all of your work in this booklet. Do not tear off any sheets. Show all of your steps in the problems for full credit. Be clear and neat in your work. Any illegible work, or scribbling in the margins, will not be graded. Put a box around your answers when appropriate.. If you need more space, you may use the back of a page and write On back of page # in the problem space or the attached blank sheets. No other scratch paper is allowed. Try to answer as many problems as possible. Provide as much information as possible. Show sufficient work or rationale for full credit. Remember that some problems may require less work than brute force methods. If you are stuck, or running out of time, indicate as completely as possible, the methods and steps you would take to tackle the problem. Also, indicate any relevant information that you would use. Do not spend too much time on one problem. Pace yourself. Pay attention to the point distribution. Not all problems have the same weight. Be careful to note units and use an appropriate number of significant digits. Page Pts 1 18 2 21 3 15 4 16 Total 70 Score Constants h 6.626 10 Js, 1.055 10 Js , me 9.111031 kg, mp 1.67 1027 kg, 34 34 B 9.274 1024 J/T, N 5.0511027 J/T Masses: (u) 01n : 1.008665, 11 H: 1.007825, 21 H: 2.014102, 31 H: 3.016049, 3 2 6 3 He: 3.016029, 42 He: 4.002603, 25 He: 5.01222, 53 Li: 5.01254, Li: 6.015121, 74 Be: 7.016928, 48 Be: 8.005305, 168 O: 15.994915, 126 C: 12.000000, 14 6 C: 14.003242, 190 78 14 7 N: 14.003074, 18274W: 183.950928, 186 76 Os: 185.953830, Pt: 189.959917, 232 90 Th: 232.038051, 259 103 Lr: 259.10290 ________________________________________________________________________ Bonus: What are the radius and volume of a 42 He nuclide? PHY 335 Exam III Name ________________________ 1. (8 pts) Answer the following: a. In 1925 Goudsmit and Uhlenbeck explained what? b. In 1928 P.A.M. Dirac modified quantum mechanics by introducing what? c. Bosons are characterized by what? d. Atomic shells with value n have how many states in terms of n? ____ e. The maximum binding energy per nucleon is 8.8 MeV per nucleon. What element has the highest binding energy per nucleon? ____ f. The magic numbers are 2, 8. ___, 28, ___, …. What are the missing numbers in this sequence? ____, ____ g. For a state with a given quantum number , how many energy level splitting are there? ____ 2. (3 pts) Sketch energy level splitting, labeled with m values, for a p state as a magnetic field is turned on. 3. (7 pts) Calculate the allowed angles in degrees and carefully sketch the possible directions and z-components of orbital angular momentum for a d-state. Indicate where the angles are. PHY 335 Exam III Name ________________________ 4. (3 pts) When a 0.500 T magnetic field acts on the orbital magnetic dipole moment of a d-state, by how many Joules are the energy levels spread from the highest to lowest level? 5. (3 pts) Calculate largest wavelength of the three normal Zeeman spectral lines for a 1.000 T magnetic field if 422.6728 nm when B 0. 6. (1 pt) If j can be 5 7 or , is the state an s, p, d, f, or g state? 2 2 7. (6 pts) Write spectroscopic notation for all possible single electron states for n 3, l 2. 8. (8 pts) Give the quantum numbers (n, , j , m j ) for the state 2 2P3/2. PHY 335 Exam III Name ________________________ 9. (1 pt) How many subshells are there in (atomic) shell L? 10. (3 pts) Calculate the binding energy per nucleon of 232 90 Th. 11. (3 pts) Calculate the separation energy of a proton from 53 Li. 12. (5 pts) 190 78 Pt spontaneously decays by an emission. a. What is the daughter nucleus? b. Calculate the disintegration energy for the 3.18 MeV alpha particle from this reaction. 13. (3 pts) Can 146 C decay by a decay? Show work. PHY 335 Exam III Name ________________________ 14. (6 pts) Find the missing nuclide and/or lepton: a. 186 76 Os ____ b. ____ 259 103 Lr 58 58 Co 28 Ni+ ____ ____ c. 27 d. e1 74 Be ____ ____ 15. (3 pts) Find the kinetic energy of the alpha particle in reaction in 14a. 16. (7 pts) Consider the reaction 21 H+ 31 H 42 He+ 01 n. a. What is the Q-value of this reaction? b. If the total kinetic energy in the center of mass system is 400 keV before the reaction, what are the kinetic energies of the alpha particle and neutron after the reaction? (This is a challenging problem.) c. Is this a fission or fusion reaction? _________________ PHY 335 Exam III Name ________________________