# Register now to access 7 million high quality study materials (What's Course Hero?) Course Hero is the premier provider of high quality online educational resources. With millions of study documents, online tutors, digital flashcards and free courseware, Course Hero is helping students learn more efficiently and effectively. Whether you're interested in exploring new subjects or mastering key topics for your next exam, Course Hero has the tools you need to achieve your goals.

3 Pages

### exam2

Course: PHY 361, Fall 2008
School: Kentucky
Rating:

Word Count: 591

#### Document Preview

of University Kentucky, Physics 361 EXAM 2, 2009-03-13 11:0011:50 Instructions: The exam is closed book and timed (50 minutes). E = p = k Lz = m 2 2 2m x2 (x, t) 2 2 2m x2 (x) E t p x Lz 2 2 2 E = i p = i z = i L t x + V (x) (x, t) = i + V (x) (x) t (x, t) = E (x) c = me = En = rn = G = c2 197 eV nm ke e2 0.511 MeV, mp c2 2 E /n2 Z 0 E0 2 a /Z n 0 a0 G dx = e2 /4 0 = 1.44 eV nm = 938...

Register Now

#### Unformatted Document Excerpt

Coursehero >> Kentucky >> Kentucky >> PHY 361

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
of University Kentucky, Physics 361 EXAM 2, 2009-03-13 11:0011:50 Instructions: The exam is closed book and timed (50 minutes). E = p = k Lz = m 2 2 2m x2 (x, t) 2 2 2m x2 (x) E t p x Lz 2 2 2 E = i p = i z = i L t x + V (x) (x, t) = i + V (x) (x) t (x, t) = E (x) c = me = En = rn = G = c2 197 eV nm ke e2 0.511 MeV, mp c2 2 E /n2 Z 0 E0 2 a /Z n 0 a0 G dx = e2 /4 0 = 1.44 eV nm = 938 MeV 2 = me ke e2 /2 2 = 13.6 eV = 2 /me ke e2 = 0.529 ( = 0.1 nm) A mM = m+M Part IShort Answer [6 pts] 1. In the following diagram, label the impact parameter and scattering angle. Draw the scattering trajectories starting at a) and c). Show the location of nucleus with an . Draw a detector and label the corresponding dierential cross section d being measured. Rank the three trajectories as having the smallest (1) to largest (3) dierential cross section. c b a [3 pts] 2. Using a picture and brief labels, show the analogy between tides on the Earth and hydrogen and deuterium atoms. Which atom has lower ground state energy? [3 pts] 3. Why does the ideal harmonic oscillator have an innite number of energy levels, while the nite square well has only a nite number of energy levels? [2 pts] 4. What two energies are quantized in the Bohr model of atomic spectra? 1 [8 pts] 5. Match each of the following potential functions (middle) to the corresponding energy level (top), and to the corresponding 4th state wave function (bottom). [4 pts] 6. Circle the wave function(s) which represent tunneling. What happens classically at the interface between positive and negative kinetic energy? [5 pts] 7. a) Draw the wave function for the 10th excited state of the harmonic oscillator potential. b) Show two features the of wave function which illustrate the correspondence principle. [4 pts] 8. How are momentum and position represented quantum mechanically? [5 pts] 9. a) Draw the node lines of the rst few wave functions of the innite square well on a disk. b) Indicate the degeneracy of each state. n=2 E n=1 m=0 1 2 3 2 Part IIShort Calculation [5 pts] 10. Derive the dispersion relation between w and k starting from E = p2 /2m. Compare this with terms in the time-dependent Schrdinger equation (circle the parts that are the same). o [10 pts] 11. Suppose Rutherford were able to peek at the alpha bullet-holes in his gold sample, and saw the result below. a) what would he measure for the nuclear cross section ? b) List two errors in this supposition. 15 fm 30 fm [10 pts] 12. a) Which of the following are eigenfunctions of the operator eigenvalue for each eigenfunction. i) e2i x ii) ex iii) cos(3x + 4) iv) 3x + 4 v) x2 2 ? x2 b) Calculate the Part IIIFull Problems [15 pts] 13. Show that (x) = A sin(kn x) is a solution of the t...

Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

Kentucky - PHY - 231
PHYSICS 231PRACTICE EXAM 3NAME (printed) SIGNATURE Student Number (SSN) SECTIONINSTRUCTIONS 1) Wait for oral instructions before starting the test. 2) Remember to justify (in English) as many steps as possible for partial credit. 3) No calculator
Kentucky - PHY - 231
The new topics on Exam 3 are what we have done in class since the last exam. These topics correspond to material from the following sections of the textbook: (Note: We have not covered everything in every section!) Ch 6 Sections 1 &amp; 2: Circular motio
Kentucky - PHY - 361
University of Kentucky, Physics 361 EXAM 2, 2008-03-18 18:0020:00 Instructions: The exam is closed book and timed (120 minutes), so pace yourself. In particular, don't waste your time on the question worth [0 pts]. There are [100 pts] in total. Probl
Kentucky - PHY - 361
Example Questions for Exam #2 PHY361 The exam will cover sections 4.1 4.8, 5.1 5.11, and 6.1 6.6. The questions from chapter 6 will focus on separation of variables in 2 and 3 dimensions, and on angular momentum. The exam will focus on principles
Kentucky - PHY - 228
# Students 0.5 1.5 2.5 0 AVERAGE = 60 +/- 14 1 20 4 8 12 16 20 24 28 32 36 40 44 48 52 56 60 64 68 72 76 80 84 88Exam#2ARaw Score
Kentucky - PHY - 361
Formulas for Exam II E = p = k Lz = m 2 2 2m x2 (x, t) 2 2 2m x2 (x)E t p x Lz 2 2 2 E = i p = i z = i L t x + V (x) (x, t) = i + V (x) (x) t (x, t)= E (x)c = me = En = rn = G = c2197 eV nm ke e2 0.511 MeV, mp c2 Z 2 E0 /n
Kentucky - PHY - 361
Example Questions for Exam #3 PHY361 The exam will cover sections 7-1 to 7-8, section 8-1 except heat capacities, 8-2, 8-3, 8-4 photon gas only, 8-5. Review end of section questions in text; chapter 7 homework, chapter 8 p
Kentucky - PHY - 232
Final Exam : Wednesday December 17th Time : 8am - 10amChapter 23 24# Multiple Choice Free 1 Free 2 Free 3 Free 4 Free 5 Value 40 40 40 15 15 20Excluded -7,8 7 5,6 5,6 6 6,7 6 -5 5-725 26 27 28 29 30 31 32 34 37Theory of Electromagnetic Fields
Kentucky - PHY - 361
University of Kentucky, Physics 361 EXAM 3, 2008-04-11 Instructions: The exam is closed book and timed (50 minutes). Part III is a take-home portion and is due Monday at 10:00 A.M. sharp. No late exams will be accepted. For the take-home part, you ma
Kentucky - PHY - 361
Syllabus for PHY 361 Spring 2008 Principles of Modern PhysicsClass schedule: Instructor: Oce hours: Homepage: Textbook: M W F 11:001l:50, CP 183 Christopher B. Crawford CP 373, 257-2504, crawford@pa.uky.edu Mon. 1:002:00, Thurs. 10:0011:00 http:/www
Kentucky - PHY - 520
Physics 520 Introduction to Quantum MechanicsSpring 2007 MWF: 11:00 am 11:50 am, CP 287 Home Page: http:/www.pa.uky.edu/~mike/courses/phy520A syllabus is a binding contract between the student, the instructor and the University.Always read the
Illinois State - CHE - 38037
Chemistry 380.37 Spring 2009 Dr. Jean M. Standard January 22, 2009Example Molecular Mechanics CalculationsMolecular mechanics (MM) calculations are employed primarily in the study of organic and biological molecules. MM calculations are not used f
Illinois State - PHY - 207
Physics 207Homework #5Answers1. Table 8.3 in the text lists indoor air pollutants. Some of the ones listed are: radon gas, tobacco smoke, asbestos, carbon monoxide, and formaldehyde. Pick any two of these to learn more about (see next questions
Kentucky - SW - 700401
The Mental Status and Vantage Points: Bridges to PsychotherapyImportant to understand patient from variety of viewpoints (attentional and conceptual) Don't be strictly lead by patient's world view Consider four (4) attentionalvantage points: Lo
Illinois State - CI - 051
C&amp;I 482 Professional Research II Spring 2005Instructor Information Dr. Adel AL-Bataineh Office: DeG. 240 Home: (309) 352-2010 Work: (309) 438-3257 E-mail: atal-ba@ilstu.eduDepartment Information Curriculum &amp; Instruction Dept. phone #: 438-5425 Fa
Illinois State - CI - 061
PREKINDERGARTEN EDUCATION C&amp;I 271 Section 01 - 3 Semester Hours Dr. Marilyn K. Moore 232C DeGarmo Hall (309) 438-2307 office (309) 287-2514 cell (309) 438-8659 FAX Class Time: 8:00-10:50 Friday Location: Blooming Grove Academy 510 East Washington St.
Wheaton IL - INTR - 381
IDS 381: Introduction to Missions Course SyllabusA. Scott Moreau, D.Miss. Wednesday, 6:30 to 8:30 pm, Fisher Canteen Room1. Course description: An integrated introductory survey of the crucial issues in missions from the perspectives of history, th
Kentucky - MA - 113
Calculus I Spring 2003 MA113:10-12 Russell Brown Review for test 1 Below are a selection of problems to help prepare you for exam 1. In addition to these problems, you should understand all of the (non-starred) homework problems. Describe how to tra
Kentucky - MA - 321
1Lecture 1: IntroductionThis is a course in numerical analysis. The goal of this course is to understand methods for computing numerical answers to various mathematical problems and to appreciate the dangers that can arise when we attempt to actu
Kentucky - MS - 0102
UniversityofKentuckyCollege of Human Environmental SciencesHospitality Management and TourismIn the Hospitality Management and Tourism program option in Nutrition and Food Science, which leads to the B.S. in Hospitality Management, students a
Kentucky - MS - 0506
University of KentuckyCollege of Agriculture and School of Human Environmental SciencesHoursHospitality Management and TourismIn the Hospitality Management and Tourism program option in Nutrition and Food Science, which leads to the B.S. in Hosp
Kentucky - MS - 0405
University of KentuckyDieteticsDietetics prepares professionals who are recognized for expertise in food and nutrition. Graduates of the Dietetics program function as entry level professionals with opportunities for practice in clinical and commun
Kentucky - BULL - 0607
CECivil Engineering*CE 106 COMPUTER GRAPHICS AND COMMUNICATION. (3) Introduction to the use of scale, dimensioning, and orthographic projections. Graphical solution of spatial problems. Integrated application of computer graphics. Lecture, two ho
Wheaton IL - WEBER - 331
History 331: African History Dr. C. Weber Spring, 2004 Review questions for D. T. Niane's Sundiata: An Epic of Old Mali*Sundiata (c. 1235-1260) was a leader of the Mande people and the founder of the empire of Mali which lasted for about 300 years.
Illinois State - PHY - 207
4/6/2009Modern PhysicsUnderstanding of the Nature of Light and AtomsInterference and the Wave Nature of LightLight as electromagnetic waves: polarization, reflection, and refraction Another property is interference through the superposition of
Illinois State - CHE - 232
Chapter 14 Sheet 5Hydrohalogenation of Dienes1) Give the major organic products for the following reactions.a)HBr 25oCb)HCl 25oCc)HBr 25oCHCl d) 25oCe)1) NBS, 2) KOH, H2O, 3) HBr, 25oC
Texas Tech - CIVE - 7397
Normal QQ Plot2.0q q q q q q q q q qSample Quantiles1.01.5qq0.5q3210123Theoretical Quantiles
Illinois State - CHE - 220
CHE 220Chapter 10 Sheet 1Amine Nomenclature1) Give the IUPAC name for the following molecules.a) b) c)Cl NH22,4-dimethyl-3-hexanamineN HN-butyl-4-chloro-3-ethyl-5methylanilineNH22-ethyl-5-pentylanilined)NH2e) f)H NNH22-ethyla
Kentucky - MA - 114
MA 114Study guide for exam 1, part 2This study guide is a mixture of concepts to think about and problems to solve. It is not a substitute for doing homework, reading the book, or asking questions.1Various problemsProblem 1. Determine the e
Texas Tech - GEOG - 1401
Illinois State - COSC - 1337
Lamar UniversityCOSC 1337-01, Fall, 2005 Introduction to Computer Science II (JAVA)URL: http:/hal.lamar.edu/licc/COSC1337JAVA MWF, 9:05 9:55 AM, Maes 111 Instructor: Dr. Chung-Chih Li Oce: 69 Maes, Tel: (409) 880-8748 Email: licc@hal.lamar.edu Oc
Texas Tech - ANSC - 5403
AnSc 5403 Biometry Lecture Notes 13 I. Confidence intervals on 2 and Using the chi-square distribution A. With the confidence intervals that we calculated previously, we were interested in the population mean 1. Can we use the same approach if we a
Illinois State - CI - 044
Curriculum and Instruction DepartmentCI 401 Instructional Media and Technology Course Syllabus Fall 2004 Credit Hours: 3 Days and times the course meets: Wednesdays 5:30-8:20pm Course Description: This course is designed to introduce current and fut
Kentucky - FCS - 7141
FCS7-141By Michael Rupured, former Graduate Student, UK Department of Family Studies, and Sam Quick, Human Development and Family Relations Specialist.Ahappy marriage is a joy as well as a tremendous challenge. It demands a lot of commitment, p
Kentucky - NEP - 206
NEP-206MILK GROUP: Get Your Calcium-Rich Foods!Foods in the Milk Group include milk, yogurt, and cheese. These foods are best known for their high calcium content. Foods in the Milk Group are good sources of: Calcium Protein Vitamin D Vitamin
Illinois State - COE - 072
ILLINOIS STATE UNIVERSITY Department Name Course Number Course Title Time/ Location Instructor Office and Hours Telephone E-mail Credit Hours Contact Hours Prerequisites Catalog Description Educational Administration and FoundationsEAF 494 Educatio
Illinois State - COE - 084
ILLINOIS STATE UNIVERSITY COLLEGE OF EDUCATION ED ADMIN &amp; FOUNDATIONSEAF 515.001 Methods of Qualitative Research in EducationFall 2008 Thursdays, 5:308:20 pmContact Information:Stacy Otto, Ph.D. Associate Professor, Social Foundations of Educati
Illinois State - COE - 081
SED/EAF 447 Syllabus Spring 2008 Illinois State University Department of Special Education Department of Educational Administration and Foundations SED 447: Administering Educational Programs for Students with Disabilities Spring 2008 3 Semester Hour
Kentucky - CHE - 232
1 Chapter 21. Addition of Soft Nucleophiles to Aldehydes and Ketones. 1. Nomenclature. a) Aldehydes. i) Systematic. Alkanal. Ethanal, hexanal, propenal. ii) Trivial. Formaldehyde, acetaldehyde, acrolein, benzaldehyde. b) Ketones. i) Systematic. Alkan
Kentucky - CHE - 232
Chapter 16: Reactions of Aromatic Compounds 1.Br Simple alkenes tend to undergo addition reactions: Br Br2 HBr C3 H6Br2 C3 H6 BrC3 H7BrThe elements of the reagent (HBr or Br2) are simply added to the starting material. This is called, unsurprisi
Kentucky - CHE - 614
ORGANOTRANSITION METAL CHEMISTRY (CHE 614) EXAMINATION II, NOVEMBER 25, 2003Name:Please provide clear and concise answers to all of the following questions. Use chemical equations and/or drawings to support your answers where appropriate. Please
Kentucky - MA - 123
The idea of the integral Chapter 8: Practice/review problemsThe collection of problems listed below comprises questions taken from previous MA123 exams.[1]. Estimate the area under the graph of f (x) = x2 + 2 on the interval [0, 2] by dividing th
Kentucky - CS - 471
Features of TCP Connection oriented: Application requests connection to destination and then uses connection to deliver data Stream interface: Application delivers data to TCP as a continuous stream, with no record boundaries; Full duplex: The end
Kentucky - CS - 471
ICMP Message Types Internet Control Message Protocol (ICMP) denes error and informational messages Error messages: Source quench (slow down sending rate) Time exceeded (TTL expired) Destination unreachable Redirect (Change your route) Fragment
Illinois State - CHE - 220
Name:_Section:_CHE 220 Distillation &amp; GC Chromatography Pre-Lab Questionsa) At which end of the condenser will water enter in your distillation apparatus?b) When a mixture of two solvents are boiling does the vapor being released have the same
Illinois State - CHE - 232
Chapter 2 Sheet 5Intermolecular &amp; Intramolecular Forces1) What is the major intermolecular force that is in effect for each of the following compounds?OHa) b) c)ONaOHLondon Dispersion d) Hydrogen Bonding e) f) IonicHONaCl onicBrBr Br
Kentucky - PR - 445
PR-445R.F. Spitaleri, J.C. Henning, T.D. Phillips, D.C. Ditsch, and G.A. Davis2000 Timothy ReportIntroductionTimothy (Phleum pratense) is the fourth most widely sown cool-season perennial grass used in Kentucky for forage, behind tall fescue,
Kentucky - PR - 440
PR-440R.F. Spitaleri, J.C. Henning, L.G. Brown, G.D. Lacefield, J. Wyles, B. Sleugh, and P.C. Vincelli2000 Alfalfa ReportIntroductionAlfalfa (Medicago sativa) is historically the highest yielding, highest quality forage legume grown in Kentuck
Kentucky - NEP - 216
Fiber Facilitator's GuideLesson GoalsAfter this lesson, participants will be able to: y Define fiber y List the functions of fiber in maintaining good health y Name two kinds of fiber y List the functions of insoluble fiber y List some food source
Kentucky - ENP - 202
ENP-202AThe Plains of GrainsGrains for Savings Stretch your casserole; Make your own baking mixes forHow Far Will It Go?Oats, rice and pasta soak up water as they cook. A single serving is cup cooked. How do dry and cooked compare?Dry 1 cup
Kentucky - NEP - 205
NEP-205AMEAT AND BEANS GROUP How Much Is Enough?Price per pound is not the whole story. That pound of meat may be lean and boneless or it could contain more bone, gristle, and fat than lean meat.Store It RightMeat Purchasing GuidelinesType of
Kentucky - MA - 201
MA 201 Math for Elementary Teachers Fall 2008 Homework Answers for Chapter 7Chapter 7 Decimals, Real Numbers, and Proportional Reasoning 7.1 Decimals and Real Numbers1. (a) 273.412 = 200 + 70 + 3 + 1 2 4 + + 10 100 1000 = 2 102 + 7 101 + 3 10
Kentucky - MA - 213
MA 213 Calculus III Recitation Quiz 10Name Solutions Date: November 18, 2004Please answer all questions completely. Be sure to write neatly so that your solution may be read as you intended it to be read. You may use your textbook and your class
Kentucky - MA - 110
MA 110 Analytic Geometry and Trigonometry Worksheet 3 Date: September 18, 2007 Name: Attendance Participation Graded Problems /25 Total /5 /5 /15During class you are expected to work on the following problems. At the end of class these problems wil
Illinois State - PHI - 330
PHI 330 Spring, 2009 Presentation Assignment For this project, you will work in pairs to bring an analysis of an important concrete, contemporary issue in collective responsibility to the class and lead a discussion of what you have found. You will s
Texas Tech - CS - 5355
Lecture 2Real Time SystemsProcess and State based Systems ModelThe system can be visualized as a closed world system consisting of an environment and a computer system. The world? And a computer system? The environment is defined as the set of ev
Illinois State - CHE - 220
CHE 220Chapter 6 &amp; 7 Sheet 6SN2 Reactions: Factors Affecting Rates1) For the following pairs of reactions, predict which will occur more quickly and provide an explanation.a) -OHIHOHHOHOHIHOHOHb)Br BrOH NH2 SCH3 HNH3c)H
Illinois State - CHE - 220
Name:_Section:_CHE 220Recrystallization Pre-Lab Questionsa) What are the four factors that must be considered in choosing a solvent for recrystallization?b) What are possible outcomes of cooling a recrystallization solution too quickly?
Kentucky - PR - 381
The1995 Tall Fescue ReportL.M. Lauriault, J.C. Henning, T.D. Phillips, G.D. Lacefield, D.C. Ditsch, and E.L. Baker Introduction Tall fescue (Festuca arundinacea) is a soil conserving, productive, well-adapted, persistent, cool- season grass that is
Regis - MT - 270
MT270: Introduction to Statistics Formula Sheet for Test 3 Raw score x = z + Standard score z =x If r has a binomial distribution that is approximated by a normal distribution then = np and = npq Continuity correction to r intervals: 1. If
Kentucky - CIS - 510
AWARDED ANNUALLY TO:A The artist of the most distinguished American picture book for children published in the United States during the preceding year. n The illustrations must be original work. o Honor books may be named.A These must also be truly