PART I Qualifying Examination. August 22, 2017, 5:00 p.m. to 8:00 p.m.
|
|
- Arthur Cox
- 5 years ago
- Views:
Transcription
1 UNIVERSITY OF MISSOURI-COLUMBIA PHYSICS DEPARTMENT PART I Qualifying Examination August 22, 2017, 5:00 p.m. to 8:00 p.m. Instructions: The only material you are allowed in the examination room is a writing instrument and a calculator. You may not store any formulae in your calculator. Paper and question sheets are provided. Each student is assigned a capital English letter; this letter will identify your work on both parts (I and II) of this exam. In writing out your answers, use only one side of a page; use as many pages as necessary for each problem, and do not combine work for two different problems on the same page. Each page should be identified in the upper, right-hand corner according to the following scheme: A 4.3 i.e., student A, problem 4, page 3. Refer all questions to the exam proctor. In answering the examination questions, the following suggestions should be heeded: 1. Answer the exact question that is asked, not a similar question. 2. Use simple tests of correctness (such as a reasonable value, correct limiting values and dimensional analysis) in carrying out any derivation or calculation. 3. If there is any possibility of the grader being confused as to what your mathematical symbols mean, define them. You may leave when finished.
2 1. A bowling ball rolls without slipping up a ramp that slopes upward at an angle β to the horizontal. Treat the ball as a uniform solid sphere, ignoring the finger holes. The ball has radius R, mass M and momentum of inertia (about an axis that goes through its center) I = (2/5)MR +. (a) Draw the free-body diagram for the ball. Explain why the friction force must be directed uphill. (b) What is the acceleration of the center of mass of the ball? (c) What minimum coefficient of static friction is needed to prevent slipping? 2. A mass M is free to slide down a frictionless plane inclined at an angle β. A pendulum of length ll and mass m hangs from M, as shown in the figure. (Assume that M extends a short distance beyond the side of the plane, so the pendulum can hang down). (a) Find the Lagrangian of the system by employing the generalized coordinates x (distance of M from the top of the plane) and θ (angle formed by the pendulum with the vertical). (b) Derive the corresponding Lagrange equations of motion for x and θ. (c) In the limit θ 1 (small oscillations), combine the two equations of motion to obtain a closed equation of motion for θ, and find the frequency of the oscillations of the pendulum. l M m β - 2 -
3 3. A particle of mass m is confined in a one-dimensional box of width 2L, with potential energy V x = 0 for x < L otherwise (a) What are the energy eigenfunctions, ψ B (x), and eigenvalues, E B, of the particle? Express your answers in terms of L, m, and ħ. Next, assume that the particle has an energy that corresponds to the first excited state. In this state, the probability of finding the particle at the center of the box, x = 0, is zero. (b) Knowing that at time t F = 0 the particle is located in the left half of the box, is there a chance that at a later time, t > 0, we will find the particle in the right side of the box? Explain your answer. Finally, assume that we modify V(x) such that it has a value V F for x < L/4. All other values remain unchanged. Assume that V F equals the energy of the first excited state of the situation without the additional potential. (c) Sketch the wavefunctions with the 4 lowest energies corresponding to the solution of the Schrödinger equation in the presence of this modified potential. You are not required to perform any specific calculations. Simply sketch what the modified wavefunctions should look like, and explain (in words) why. 4. A two level system is described by the Hamiltonian H = ε 1 1 ε 2 2, where ε > 0 and the state vectors 1 and 2 are orthonormal. (a) Write the Hamiltonian as a 2 2 matrix that operates in the Hilbert space spanned by 1 and 2. What are the energy eigenvalues and eigenvectors of this system? We now switch on a perturbation Δ so that the Hamiltonian becomes Assume that 0 < Δ ε. H = ε 1 1 ε Δ Δ 2 1. (b) What are the energy eigenvalues and eigenvectors of this perturbed system? At t = 0, we prepare this (now perturbed) system to be in state 1. (c) What is the minimum time required for the state of the system to coincide with 2? Hint: recall that in a two-level system, only the difference in energy between the two levels determines the oscillation time between the levels. If you were unable to calculate the energy levels, you can still solve this problem (use the symbol δe for the level splitting in your answer)
4 UNIVERSITY OF MISSOURI-COLUMBIA PHYSICS DEPARTMENT PART II Qualifying Examination August 24, 2017, 5:00 p.m. to 8:00 p.m. Instructions: The only material you are allowed in the examination room is a writing instrument and a calculator. You may not store any formulae in your calculator. Paper and question sheets are provided. Each student is assigned a capital English letter; this letter will identify your work on both parts (I and II) of this exam. In writing out your answers, use only one side of a page; use as many pages as necessary for each problem, and do not combine work for two different problems on the same page. Each page should be identified in the upper, right-hand corner according to the following scheme: A 4.3 i.e., student A, problem 4, page 3. Refer all questions to the exam proctor. In answering the examination questions, the following suggestions should be heeded: 1. Answer the exact question that is asked, not a similar question. 2. Use simple tests of correctness (such as a reasonable value, correct limiting values and dimensional analysis) in carrying out any derivation or calculation. 3. If there is any possibility of the grader being confused as to what your mathematical symbols mean, define them. You may leave when finished.
5 1. An electronic circuit drives two linear microwave antennas in-phase at a frequency, f. The microwave radiation strikes a detector screen located at a distance, L, along the center-line between the antennas that are separated by a distance, D, as shown in the top-view diagram where the antennas are directed out of the page. For the purpose of this problem, assume that the electric field magnitude coming from each antenna individually does not vary significantly along the screen (the x-direction). The measured intensity at point A (x=0) is found to be I ". In the following, give all answers in terms of the given information. The speed of light is c. (a) Is the intensity at point A a minimum, a maximum or somewhere in between? Why? Credit will be based your answer to why. (b) Determine the minimum value of D for which the intensity is I " at point B (which is located at x = D/2). (c) With D having the value determined in part (b), if the electronic driving circuits are changed such that the two antennas operate 180 degrees out-of-phase from each other, what is the intensity at points A and B along the screen? Show your work. (d) With D having the value determined in part (b) and with the two antennas being 180 degrees out-of-phase, what is the minimum value of x where the intensity is I "? After setting up the equations that lead to the answer, you do not have to solve them. 2. A very long solenoid of n turns per unit length carries a current which increases uniformly with time, i(t) = Kt, where K is a constant. You may consider the solenoid to be sufficiently long so as to neglect edge effects in your calculations. (a) Calculate the magnetic field inside the solenoid at time t (neglect retardation effects). (b) Explain in a few words why there is also an electric field present inside the solenoid. Then calculate E(r), the electric field inside the solenoid
6 (c) Consider a cylinder of length l and radius equal to that of the solenoid and co-axial with the solenoid. Find the rate at which energy flows into the volume enclosed by this cylinder. The formula listed below for the curl of an arbitrary vector v in cylindrical coordinates may be useful in your calculations: 1 v v z j vr vz 1 vs Ñ v = [ - ] rˆ + [ - ] ˆ j + [ ( rv ) ] zˆ j - r j z z r r r j 3. Consider the same amount of n = 1 mole of two different monoatomic ideal gases that are isolated in separate thermally insulated containers at the same pressure, P ", and temperature, T ". (a) What is the total internal energy of the gases? At some moment, the partition separating the containers is removed and the gases are allowed to mix but not react. After the mixing is complete: (b) What is the final pressure and temperature of the gases? (c) What is the internal energy of the gases? (d) What is the entropy change of the system? (e) What is the maximum work that can be extracted through the mixing of the two gases? 4. (a) Consider an ideal gas of N particles of mass m confined to a volume V at a temperature T. Using classical statistical mechanics, and assuming that the particles are indistinguishable, show that the chemical potential of the gas is given by μ = k 6 T ln 9 : B C D/<. (b) A gas of N E particles, also of mass m, is absorbed on a surface of area A, forming a twodimensional (2D) ideal gas at temperature T on the surface. The energy of an absorbed particle is ε = p < /2m ε ", where p = (p K, p M ) is the 2D momentum vector of the particle (in the plane of - 3 -
7 the surface), and ε " is the surface binding energy per particle. Using the same approximations and assumptions as in part (a), show that the chemical potential μ E of the absorbed gas is given by μ E = k 6 T ln 9 N E B C ε ". (c) At temperature T, the particles on the surface and in the surrounding three-dimensional gas (vapors) are in equilibrium. This implies a relationship between the respective chemical potentials, μ and μ E. Using this condition, determine the mean number n of particles absorbed per unit area when the pressure of the vapor is P
UNIVERSITY OF MISSOURI-COLUMBIA PHYSICS DEPARTMENT. PART I Qualifying Examination. August 20, 2013, 5:00 p.m. to 8:00 p.m.
UNIVERSITY OF MISSOURI-COLUMBIA PHYSICS DEPARTMENT PART I Qualifying Examination August 20, 2013, 5:00 p.m. to 8:00 p.m. Instructions: The only material you are allowed in the examination room is a writing
More informationUNIVERSITY OF MISSOURI-COLUMBIA PHYSICS DEPARTMENT. PART I Qualifying Examination. January 20, 2015, 5:00 p.m. to 8:00 p.m.
UNIVERSITY OF MISSOURI-COLUMBIA PHYSICS DEPARTMENT PART I Qualifying Examination January 20, 2015, 5:00 p.m. to 8:00 p.m. Instructions: The only material you are allowed in the examination room is a writing
More informationUNIVERSITY OF MISSOURI-COLUMBIA PHYSICS DEPARTMENT. PART I Qualifying Examination. August 20, 2005, 9:00 a.m. to 1:00 p.m.
UNIVERSITY OF MISSOURI-COLUMBIA PHYSICS DEPARTMENT PART I Qualifying Examination August, 5, 9: a.m. to : p.m. Instructions: The only material you are allowed in the examination room is a writing instrument
More informationUNIVERSITY OF MISSOURI-COLUMBIA PHYSICS DEPARTMENT. PART I Qualifying Examination. January 22, 2013, 5:00 p.m. to 8:00 p.m.
UNIVERSITY OF MISSOURI-COLUMBIA PHYSICS DEPARTMENT PART I Qualifying Examination January 22, 203, 5:00 p.m. to 8:00 p.m. Instructions: The only material you are allowed in the examination room is a writing
More informationQualifying Exam. Aug Part II. Please use blank paper for your work do not write on problems sheets!
Qualifying Exam Aug. 2015 Part II Please use blank paper for your work do not write on problems sheets! Solve only one problem from each of the four sections Mechanics, Quantum Mechanics, Statistical Physics
More informationColumbia University Department of Physics QUALIFYING EXAMINATION
Columbia University Department of Physics QUALIFYING EXAMINATION Monday, January 8, 2018 10:00AM to 12:00PM Classical Physics Section 1. Classical Mechanics Two hours are permitted for the completion of
More informationPhysics PhD Qualifying Examination Part I Wednesday, January 21, 2015
Physics PhD Qualifying Examination Part I Wednesday, January 21, 2015 Name: (please print) Identification Number: STUDENT: Designate the problem numbers that you are handing in for grading in the appropriate
More informationAugust 2006 Written Comprehensive Exam Day 1
Department of Physics and Astronomy University of Georgia August 006 Written Comprehensive Exam Day 1 This is a closed-book, closed-note exam. You may use a calculator, but only for arithmetic functions
More informationPh.D. QUALIFYING EXAMINATION PART A. Tuesday, January 3, 2012, 1:00 5:00 P.M.
PhD QUALIFYING EXAMINATION PART A Tuesday, January 3, 212, 1: 5: PM Work each problem on a separate sheet(s) of paper and put your identifying number on each page Do not use your name Each problem has
More informationJoint Entrance Examination for Postgraduate Courses in Physics EUF
Joint Entrance Examination for Postgraduate Courses in Physics EUF First Semester/01 Part 1 4 Oct 011 Instructions: DO NOT WRITE YOUR NAME ON THE TEST. It should be identified only by your candidate number
More informationMASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT OF PHYSICS. DOCTORAL GENERAL EXAMINATION PART 1 August 27, 2012 FIVE HOURS
MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT OF PHYSICS EDUCATION OFFICE PHONE (617)-253-4842 ROOM 4-352 FAX (617)-258-8319 DOCTORAL GENERAL EXAMINATION PART 1 August 27, 2012 FIVE HOURS 1. This examination
More informationSpring 2007 Qualifier- Part I 7-minute Questions
Spring 007 Qualifier- Part I 7-minute Questions 1. Calculate the magnetic induction B in the gap of a C-shaped iron core electromagnet wound with n turns of a wire carrying current I as shown in the figure.
More informationPhysics PhD Qualifying Examination Part I Wednesday, August 26, 2015
Physics PhD Qualifying Examination Part I Wednesday, August 26, 2015 Name: (please print) Identification Number: STUDENT: Designate the problem numbers that you are handing in for grading in the appropriate
More informationUNIVERSITY OF MISSOURI-COLUMBIA PHYSICS DEPARTMENT. PART I Qualifying Examination. August 19, 2006, 9:00 a.m. to 1:00 p.m.
UNIVERSITY OF MISSOURI-COLUMBIA PHYSICS DEPARTMENT PART I Qualifying Examination August 9, 006, 9:00 a.m. to :00 p.m. Instructions: The only material you are allowed in the examination room is a writing
More informationk m Figure 1: Long problem L2 2 + L2 3 I 1
LONG PROBLEMS 1: Consider the system shown in Figure 1: Two objects, of mass m 1 and m, can be treated as point-like. Each of them is suspended from the ceiling by a wire of negligible mass, and of length
More informationColumbia University Department of Physics QUALIFYING EXAMINATION
Columbia University Department of Physics QUALIFYING EXAMINATION Monday, January 14, 2013 3:10PM to 5:10PM Classical Physics Section 2. Electricity, Magnetism & Electrodynamics Two hours are permitted
More informationCommon Exam Department of Physics University of Utah August 24, 2002
Common Exam - 2002 Department of Physics University of Utah August 24, 2002 Examination booklets have been provided for recording your work and your solutions. Please note that there is a separate booklet
More informationDEPARTMENT OF PHYSICS. University at Albany State University of New York. Comprehensive Field Examination. Classical. Monday, May 21, 2018
DEPARTMENT OF PHYSICS University at Albany State University of New York Comprehensive Field Examination Classical Monday, May 21, 218 1: AM - 1: PM Instruction: Answer any four out of five questions Please
More informationJoint Entrance Examination for Postgraduate Courses in Physics EUF
Joint Entrance Examination for Postgraduate Courses in Physics EUF Second Semester 013 Part 1 3 April 013 Instructions: DO NOT WRITE YOUR NAME ON THE TEST. It should be identified only by your candidate
More informationPRELIMINARY EXAMINATION Department of Physics University of Florida Part A, January, 2012, 09:00 12:00. Instructions
Student ID Number: PRELIMINARY EXAMINATION Part A, January, 2012, 09:00 12:00 Instructions 1. You may use a calculator and CRC Math tables or equivalent. No other tables or aids are allowed or required.
More informationSpring 2012 Qualifying Exam. Part I
Spring 2012 Qualifying Exam Part I Calculators are allowed. No reference material may be used. Please clearly mark the problems you have solved and want to be graded. Mark exactly eight problems in section
More informationINSTRUCTIONS PART I : SPRING 2006 PHYSICS DEPARTMENT EXAM
INSTRUCTIONS PART I : SPRING 2006 PHYSICS DEPARTMENT EXAM Please take a few minutes to read through all problems before starting the exam. Ask the proctor if you are uncertain about the meaning of any
More informationMath Questions for the 2011 PhD Qualifier Exam 1. Evaluate the following definite integral 3" 4 where! ( x) is the Dirac! - function. # " 4 [ ( )] dx x 2! cos x 2. Consider the differential equation dx
More informationPhysics 121, Final Exam Do not turn the pages of the exam until you are instructed to do so.
, Final Exam Do not turn the pages of the exam until you are instructed to do so. You are responsible for reading the following rules carefully before beginning. Exam rules: You may use only a writing
More information8.012 Physics I: Classical Mechanics Fall 2008
MIT OpenCourseWare http://ocw.mit.edu 8.012 Physics I: Classical Mechanics Fall 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms. MASSACHUSETTS INSTITUTE
More informationPHYSICS 218 FINAL EXAM Fall, 2005 Sections
PHYSICS 218 FINAL EXAM Fall, 2005 Sections 807-809 Name: Signature: Student ID: E-mail: Section Number: You have the full class period to complete the exam. Formulae are provided on the last page. You
More informationGraduate Written Examination Fall 2014 Part I
Graduate Written Examination Fall 2014 Part I University of Minnesota School of Physics and Astronomy Aug. 19, 2014 Examination Instructions Part 1 of this exam consists of 10 problems of equal weight.
More informationPhysics 106 Common Exam 2: March 5, 2004
Physics 106 Common Exam 2: March 5, 2004 Signature Name (Print): 4 Digit ID: Section: Instructions: nswer all questions. Questions 1 through 10 are multiple choice questions worth 5 points each. You may
More informationQualifying Exam for Ph.D. Candidacy Department of Physics October 11, 2014 Part I
Qualifying Exam for Ph.D. Candidacy Department of Physics October 11, 214 Part I Instructions: The following problems are intended to probe your understanding of basic physical principles. When answering
More informationWritten Test A. [Solve three out of the following five problems.] ψ = B(x + y + 2z)e x 2 +y 2 +z 2
Written Test A Solve three out of the following five problems.] Problem 1. A spinless particle is described by the wave function where B is a constant. ψ = B(x + y + z)e x +y +z 1. Determine the total
More informationDepartment of Physics PRELIMINARY EXAMINATION 2014 Part II. Long Questions
Department of Physics PRELIMINARY EXAMINATION 2014 Part II. Long Questions Friday May 16th, 2014, 14-17h Examiners: Prof. A. Clerk, Prof. M. Dobbs, Prof. G. Gervais (Chair), Prof. T. Webb, Prof. P. Wiseman
More informationAAPT UNITED STATES PHYSICS TEAM AIP 2018
218 F = ma Exam 1 AAPT UNITED STATES PHYSICS TEAM AIP 218 218 F = ma Contest 25 QUESTIONS - 75 MINUTES INSTRUCTIONS DO NOT OPEN THIS TEST UNTIL YOU ARE TOLD TO BEGIN Use g = 1 N/kg throughout this contest.
More informationPhysics 101. Hour Exam 2 Spring Last Name: First Name Network-ID Discussion Section: Discussion TA Name:
Last Name: First Name Network-ID Discussion Section: Discussion TA Name: Instructions Turn off your cell phone and put it away. This is a closed book exam. You have ninety (90) minutes to complete it.
More informationAP Physics C: Rotation II. (Torque and Rotational Dynamics, Rolling Motion) Problems
AP Physics C: Rotation II (Torque and Rotational Dynamics, Rolling Motion) Problems 1980M3. A billiard ball has mass M, radius R, and moment of inertia about the center of mass I c = 2 MR²/5 The ball is
More informationJoint Entrance Examination for Postgraduate Courses in Physics EUF
Joint Entrance Examination for Postgraduate Courses in Physics EUF For the first semester 2014 Part 1 15 October 2013 Instructions: DO NOT WRITE YOUR NAME ON THE TEST. It should be identified only by your
More informationPHYSICS 221 Fall 2013 EXAM 2: November 6, :15pm 10:15pm. Name (printed): Recitation Instructor: Section #:
PHYSICS 221 Fall 2013 EXAM 2: November 6, 2013 8:15pm 10:15pm Name (printed): Recitation Instructor: Section #: INSTRUCTIONS: This exam contains 25 multiple choice questions, plus two extra credit questions,
More informationRevolve, Rotate & Roll:
I. Warm-UP. Revolve, Rotate & Roll: Physics 203, Yaverbaum John Jay College of Criminal Justice, the CUNY Given g, the rate of free-fall acceleration near Earth s surface, and r, the radius of a VERTICAL
More informationPhysics 221. Exam III Spring f S While the cylinder is rolling up, the frictional force is and the cylinder is rotating
Physics 1. Exam III Spring 003 The situation below refers to the next three questions: A solid cylinder of radius R and mass M with initial velocity v 0 rolls without slipping up the inclined plane. N
More informationPHYSICS GRADUATE SCHOOL QUALIFYING EXAMINATION
PHYSICS GRADUATE SCHOOL QUALIFYING EXAMINATION Partl INSTRUCTIONS: Work all problems. This is a closed book examination. Start each problem on a new pack of yellow paper and use only one side of each sheet.
More informationPHY218 SPRING 2016 Review for Final Exam: Week 14 Final Review: Chapters 1-11, 13-14
Final Review: Chapters 1-11, 13-14 These are selected problems that you are to solve independently or in a team of 2-3 in order to better prepare for your Final Exam 1 Problem 1: Chasing a motorist This
More informationChapter 8. Rotational Equilibrium and Rotational Dynamics. 1. Torque. 2. Torque and Equilibrium. 3. Center of Mass and Center of Gravity
Chapter 8 Rotational Equilibrium and Rotational Dynamics 1. Torque 2. Torque and Equilibrium 3. Center of Mass and Center of Gravity 4. Torque and angular acceleration 5. Rotational Kinetic energy 6. Angular
More informationRotation and Translation Challenge Problems Problem 1:
Rotation and Translation Challenge Problems Problem 1: A drum A of mass m and radius R is suspended from a drum B also of mass m and radius R, which is free to rotate about its axis. The suspension is
More informationDEPARTMENT OF PHYSICS BROWN UNIVERSITY Written Qualifying Examination for the Ph.D. Degree January 26, 2007 READ THESE INSTRUCTIONS CAREFULLY
DEPARTMENT OF PHYSICS BROWN UNIVERSITY Written Qualifying Examination for the Ph.D. Degree January 26, 2007 READ THESE INSTRUCTIONS CAREFULLY 1. The time allowed to complete the exam is 12:00 5:00 PM.
More informationPhysics 351, Spring 2017, Homework #12. Due at start of class, Friday, April 14, 2017
Physics 351, Spring 2017, Homework #12. Due at start of class, Friday, April 14, 2017 Course info is at positron.hep.upenn.edu/p351 When you finish this homework, remember to visit the feedback page at
More informationLetter. (A) Show that the following relationship must hold among V 0, R, and 0. for the marble to slide to a complete stop: (3 pts) 2 V=0
Letter Comprehensive Exam Session III Classical echanics Physics Department- Proctor: Dr. Drake itchell (Sun. Jan 12 th, 2014) (3 hours long 1:00 to 4:00 P) If you cannot solve the whole problem, write
More information8.012 Physics I: Classical Mechanics Fall 2008
IT OpenCourseWare http://ocw.mit.edu 8.012 Physics I: Classical echanics Fall 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms. ASSACHUSETTS INSTITUTE
More informationEXAM 3 MECHANICS 40% of the final grade
EXAM 3 MECHANICS 40% of the final grade Winter 2018 Name: Each multiple-choice question is worth 2 marks. 1. The mass of the two wheels shown in the diagram is the same. A force of 1 N is exerted on the
More informationClassical Mechanics Ph.D. Qualifying Examination. 8 January, :00 to 12:00
UNIVERSITY OF ILLINOIS AT CHICAGO DEPARTMENT OF PHYSICS Classical Mechanics Ph.D. Qualifying Examination 8 January, 2013 9:00 to 12:00 Full credit can be achieved from completely correct answers to 4 questions.
More informationClassical Mechanics Comprehensive Exam
Name: Student ID: Classical Mechanics Comprehensive Exam Spring 2018 You may use any intermediate results in the textbook. No electronic devices (calculator, computer, cell phone etc) are allowed. For
More informationRotation review packet. Name:
Rotation review packet. Name:. A pulley of mass m 1 =M and radius R is mounted on frictionless bearings about a fixed axis through O. A block of equal mass m =M, suspended by a cord wrapped around the
More informationName: Fall 2014 CLOSED BOOK
Name: Fall 2014 1. Rod AB with weight W = 40 lb is pinned at A to a vertical axle which rotates with constant angular velocity ω =15 rad/s. The rod position is maintained by a horizontal wire BC. Determine
More informationExam #: Printed Name: Signature:
Exam #: Printed Name: Signature: PHYSICS DEPARTMENT UNIVERSITY OF OREGON Master s Final Examination and Ph.D. Qualifying Examination, PART I Monday, April 1, 2002, 1:00 p.m. to 5:00 p.m. The examination
More informationUNIVERSITY OF SASKATCHEWAN Department of Physics and Engineering Physics
UNIVERSITY OF SASKATCHEWAN Department of Physics and Engineering Physics Physics 115.3 Physics and the Universe FINAL EXAMINATION December 14, 013 NAME: (Last) Please Print (Given) Time: 3 hours STUDENT
More informationPhysics Exam 2 October 11, 2007
INSTRUCTIONS: Write your NAME on the front of the blue exam booklet. The exam is closed book, and you may have only pens/pencils and a calculator (no stored equations or programs and no graphing). Show
More informationPhysics 351, Spring 2015, Homework #6. Due at start of class, Friday, February 27, 2015
Physics 351, Spring 2015, Homework #6. Due at start of class, Friday, February 27, 2015 Course info is at positron.hep.upenn.edu/p351 When you finish this homework, remember to visit the feedback page
More informationTOPIC D: ROTATION EXAMPLES SPRING 2018
TOPIC D: ROTATION EXAMPLES SPRING 018 Q1. A car accelerates uniformly from rest to 80 km hr 1 in 6 s. The wheels have a radius of 30 cm. What is the angular acceleration of the wheels? Q. The University
More informationA) 4.0 m/s B) 5.0 m/s C) 0 m/s D) 3.0 m/s E) 2.0 m/s. Ans: Q2.
Coordinator: Dr. W. Al-Basheer Thursday, July 30, 2015 Page: 1 Q1. A constant force F ( 7.0ˆ i 2.0 ˆj ) N acts on a 2.0 kg block, initially at rest, on a frictionless horizontal surface. If the force causes
More informationEUF. Joint Entrance Examination for Postgraduate Courses in Physics
EUF Joint Entrance Examination for Postgraduate Courses in Physics For the second semester 2015 14 April 2015 Part 1 Instructions Do not write your name on the test. It should be identified only by your
More informationPhysics 201, Exam 3 -- Summer 2017
Physics 201, Exam 3 -- Summer 2017 Name (printed) On my honor as a Texas A&M University student, I will neither give nor receive unauthorized help on this exam. The fill-in-the-blank and multiple-choice
More informationVersion I. Final Exam. May 4, 1999
Name: Final Exam May 4, 1999 Useful constants: For water: ρ=1000 kg/m 3, c = 1 kcal/kg/ C, latent heat of fusion = 80 kcal/kg, latent heat of vaporization = 540 kcal/kg. G=6.67x10-11 Nm 2 /kg 2, R=8.31
More informationJordan University of Science & Technology PHYS 101A Final exam First semester 2007
Student Name Student ID Jordan University of Science & Technology PHYS 101A Final exam First semester 2007 Approximate your answer to those given for each question. Use this table to fill in your answer
More informationChapter 19 Practice Test 2
Chapter 19 Practice Test PHYSICS C Physics C has two exams: Physics C (Mechanics) and Physics C (Electricity & Magnetism): Physics C (Mechanics) Physics C (Electricity & Magnetism) First 45 min. Sec. I,
More informationPHYSICS 221, FALL 2010 FINAL EXAM MONDAY, DECEMBER 13, 2010
PHYSICS 221, FALL 2010 FINAL EXAM MONDAY, DECEMBER 13, 2010 Name (printed): Nine-digit ID Number: Section Number: Recitation Instructor: INSTRUCTIONS: i. Put away all materials except for pens, pencils,
More informationColumbia University Department of Physics QUALIFYING EXAMINATION
Columbia University Department of Physics QUALIFYING EXAMINATION Monday, January 9, 2017 11:00AM to 1:00PM Classical Physics Section 1. Classical Mechanics Two hours are permitted for the completion of
More informationPhysics P201 D. Baxter/R. Heinz. EXAM #3 November 21, :00 9:00 PM INSTRUCTIONS
Seat # Your exam is form 1. Physics P201 D. Baxter/R. Heinz EXAM #3 November 21, 2002 7:00 9:00 PM INSTRUTIONS 1. Please indicate which form (1, 2, 3, or 4) exam you have by marking the appropriate bubble
More informationDo not fill out the information below until instructed to do so! Name: Signature: Student ID: Section Number:
Do not fill out the information below until instructed to do so! Name: Signature: Student ID: E-mail: Section Number: Formulae are provided on the last page. You may NOT use any other formula sheet. You
More informationColumbia University Department of Physics QUALIFYING EXAMINATION
Columbia University Department of Physics QUALIFYING EXAMINATION Monday, January 11, 2016 1:00PM to 3:00PM Classical Physics Section 1. Classical Mechanics Two hours are permitted for the completion of
More informationPHY131H1S - Class 20. Pre-class reading quiz on Chapter 12
PHY131H1S - Class 20 Today: Gravitational Torque Rotational Kinetic Energy Rolling without Slipping Equilibrium with Rotation Rotation Vectors Angular Momentum Pre-class reading quiz on Chapter 12 1 Last
More informationPhysics 114 Exam 1 Fall 2016
Physics 114 Exam 1 Fall 2016 Name: For grading purposes (do not write here): Question 1. 1. 2. 2. 3. 3. Problem Answer each of the following questions and each of the problems. Points for each question
More informationJ10M.1 - Rod on a Rail (M93M.2)
Part I - Mechanics J10M.1 - Rod on a Rail (M93M.2) J10M.1 - Rod on a Rail (M93M.2) s α l θ g z x A uniform rod of length l and mass m moves in the x-z plane. One end of the rod is suspended from a straight
More informationDepartment of Physics PRELIMINARY EXAMINATION 2016 Part I. Short Questions
Department of Physics PRELIMINARY EXAMINATION 2016 Part I. Short Questions Thursday May 19th, 2016, 14-17h Examiners: Prof. J. Cline, Prof. H. Guo, Prof. G. Gervais (Chair), and Prof. D. Hanna INSTRUCTIONS
More informationSTONY BROOK UNIVERSITY DEPARTMENT OF PHYSICS AND ASTRONOMY. Comprehensive Examination. Classical Mechanics. August 25, 2014
STONY BROOK UNIVERSITY DEPARTMENT OF PHYSICS AND ASTRONOMY Comprehensive Examination Classical Mechanics August 25, 2014 General Instructions: Three problems are given. If you take this exam as a placement
More informationPhysics 2210 Fall 2011 David Ailion FINAL EXAM. December 14, 2011
Dd Physics 2210 Fall 2011 David Ailion FINAL EXAM December 14, 2011 PLEASE FILL IN THE INFORMATION BELOW: Name (printed): Name (signed): Student ID Number (unid): u Discussion Instructor: Marc Lindley
More informationYou may not start to read the questions printed on the subsequent pages of this question paper until instructed that you may do so by the Invigilator.
NTURL SCIENCES TRIPOS Part I Saturday 9 June 2007 1.30 pm to 4.30 pm PHYSICS nswer the whole of Section and four questions from Sections B, C and D, with at least one question from each of these Sections.
More information1. Electricity and Magnetism (Fall 1995, Part 1) A metal sphere has a radius R and a charge Q.
1. Electricity and Magnetism (Fall 1995, Part 1) A metal sphere has a radius R and a charge Q. (a) Compute the electric part of the Maxwell stress tensor T ij (r) = 1 {E i E j 12 } 4π E2 δ ij both inside
More informationAll questions are of equal value. No marks are subtracted for wrong answers.
(1:30 PM 4:30 PM) Page 1 of 6 All questions are of equal value. No marks are subtracted for wrong answers. Record all answers on the computer score sheet provided. USE PENCIL ONLY! Black pen will look
More informationI pt mass = mr 2 I sphere = (2/5) mr 2 I hoop = mr 2 I disk = (1/2) mr 2 I rod (center) = (1/12) ml 2 I rod (end) = (1/3) ml 2
Fall 008 RED Barcode Here Physics 105, sections 1 and Exam 3 Please write your CID Colton -3669 3 hour time limit. One 3 5 handwritten note card permitted (both sides). Calculators permitted. No books.
More informationHomework 1. Due Tuesday, January 29.
Homework 1. Due Tuesday, January 29. Problem 1. An ideal rope (no friction) lying on a table slides from its edge down to a scales lying on the floor. The table s height is h. Find a stationary velocity
More informationColumbia University Department of Physics QUALIFYING EXAMINATION
Columbia University Department of Physics QUALIFYING EXAMINATION Friday, January 13, 2012 3:10PM to 5:10PM General Physics (Part II) Section 6. Two hours are permitted for the completion of this section
More informationPhysics 7A, Section 1 (Prof. Speliotopoulos) First Midterm, Fall 2008 Berkeley, CA
Physics 7A, Section 1 (Prof. Speliotopoulos) First Midterm, Fall 2008 Berkeley, CA Rules: This midterm is closed book and closed notes. You are allowed two sides of one-half sheet of 8.5 x 11 of paper
More informationPhysics 211 Spring 2014 Final Practice Exam
Physics 211 Spring 2014 Final Practice Exam This exam is closed book and notes. A formula sheet will be provided for you at the end of the final exam you can download a copy for the practice exam from
More informationLast Name: First Name Network-ID Discussion Section: Discussion TA Name:
Last Name: First Name Network-ID Discussion Section: Discussion TA Name: Instructions Turn off your cell phone and put it out of sight. Keep your calculator on your own desk. Calculators cannot be shared.
More informationPrinted Name: Signature: PHYSICS DEPARTMENT. Ph.D. Qualifying Examination, PART III
Exam #: Printed Name: Signature: PHYSICS DEPARTMENT UNIVERSITY OF OREGON Ph.D. Qualifying Examination, PART III Friday, September 21, 2001, 1:00 p.m. to 5:00 p.m. The examination papers are numbered in
More informationColumbia University Department of Physics QUALIFYING EXAMINATION
Columbia University Department of Physics QUALIFYING EXAMINATION Monday, January 8, 2018 2:00PM to 4:00PM Classical Physics Section 2. Electricity, Magnetism & Electrodynamics Two hours are permitted for
More informationPh.D. QUALIFYING EXAMINATION DEPARTMENT OF PHYSICS AND ASTRONOMY WAYNE STATE UNIVERSITY PART I. FRIDAY, May 5, :00 12:00
Ph.D. QUALIFYING EXAMINATION DEPARTMENT OF PHYSICS AND ASTRONOMY WAYNE STATE UNIVERSITY PART I FRIDAY, May 5, 2017 10:00 12:00 ROOM 245 PHYSICS RESEARCH BUILDING INSTRUCTIONS: This examination consists
More informationQUALIFYING EXAMINATION, Part 1. 2:00 PM 5:00 PM, Thursday September 3, 2009
QUALIFYING EXAMINATION, Part 1 2:00 PM 5:00 PM, Thursday September 3, 2009 Attempt all parts of all four problems. Please begin your answer to each problem on a separate sheet, write your 3 digit code
More informationRigid bodies - general theory
Rigid bodies - general theory Kinetic Energy: based on FW-26 Consider a system on N particles with all their relative separations fixed: it has 3 translational and 3 rotational degrees of freedom. Motion
More informationDO NOT TURN PAGE TO START UNTIL TOLD TO DO SO.
University of California at Berkeley Physics 7A Lecture 1 Professor Lin Spring 2006 Final Examination May 15, 2006, 12:30 PM 3:30 PM Print Name Signature Discussion Section # Discussion Section GSI Student
More informationPhysics 218 Exam III
Physics 218 Exam III Spring 2017 (all sections) April 17 th, 2017 Rules of the exam: Please fill out the information and read the instructions below, but do not open the exam until told to do so. 1. You
More informationPhysics 101 Fall 2006: Final Exam Free Response and Instructions
Last Name: First Name: Physics 101 Fall 2006: Final Exam Free Response and Instructions Print your LAST and FIRST name on the front of your blue book, on this question sheet, the multiplechoice question
More informationPHYSICS 221 SPRING 2014
PHYSICS 221 SPRING 2014 EXAM 2: April 3, 2014 8:15-10:15pm Name (printed): Recitation Instructor: Section # INSTRUCTIONS: This exam contains 25 multiple-choice questions plus 2 extra credit questions,
More information28. Pendulum phase portrait Draw the phase portrait for the pendulum (supported by an inextensible rod)
28. Pendulum phase portrait Draw the phase portrait for the pendulum (supported by an inextensible rod) θ + ω 2 sin θ = 0. Indicate the stable equilibrium points as well as the unstable equilibrium points.
More informationUPDATED: NOVEMBER A particle of mass m and energy E moving in one dimension comes in from - and encounters the repulsive potential:
UVA PHYSICS DEPARTMENT PHD QUALIFYING EXAM PROBLEM FILE CLASSICAL MECHANICS UPDATED: NOVEMBER 007 1. A particle of mass m and energy E moving in one dimension comes in from - and encounters the repulsive
More informationOn my honor as a Texas A&M University student, I will neither give nor receive unauthorized help on this exam.
Physics 201, Final Exam Name (printed) On my honor as a Texas A&M University student, I will neither give nor receive unauthorized help on this exam. Name (signed) The multiple-choice problems carry no
More informationName (printed): Recitation Instructor: Section #
PHYSICS 221 SPRING 2016 FINAL EXAM: May 2, 2016 4:30pm - 6:30pm Name (printed): Recitation Instructor: Section # INSTRUCTIONS: This exam contains 25 multiple-choice questions plus 2 extra credit questions,
More informationPHYSICS 221 Fall 2007 EXAM 2: November 14, :00pm 10:00pm
PHYSICS 221 Fall 2007 EXAM 2: November 14, 2007 8:00pm 10:00pm Name (printed): Recitation Instructor: Section # INSTRUCTIONS: This exam contains 25 multiple-choice questions plus 2 extra credit questions,
More informationAP Physics C Mechanics Objectives
AP Physics C Mechanics Objectives I. KINEMATICS A. Motion in One Dimension 1. The relationships among position, velocity and acceleration a. Given a graph of position vs. time, identify or sketch a graph
More informationPhysics 2101, Final Exam, Spring 2007
Physics 2101, Final Exam, Spring 2007 May 10, 2007 Name : Section: (Circle one) 1 (Rupnik, MWF 7:40am) 2 (Giammanco, MWF 9:40am) 3 (Rupnik, MWF 11:40am) 4 (Rupnik, MWF 2:40pm) 5 (Giammanco, TTh 10:40am)
More informationAssignment 9. to roll without slipping, how large must F be? Ans: F = R d mgsinθ.
Assignment 9 1. A heavy cylindrical container is being rolled up an incline as shown, by applying a force parallel to the incline. The static friction coefficient is µ s. The cylinder has radius R, mass
More informationPHYSICS 221 SPRING FINAL EXAM: May 4, :30pm - 6:30pm
PHYSICS 221 SPRING 2015 FINAL EXAM: May 4, 2015 4:30pm - 6:30pm Name (printed): Recitation Instructor: Section # INSTRUCTIONS: This exam contains 25 multiple-choice questions plus 2 extra credit questions,
More information