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Physics Practice Test Book

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GRE ® G r a d u a t e r e c o r d e x a m i n a t i o n s Physics Test Practice Book This practice book contains ® n one actual, full-length GRE Physics Test n test-taking strategies Become familiar with n test structure and content n test instructions and answering procedures Compare your practice test results with the performance of those who took the test at a GRE administration. Visit GRE Online at www.ets.org/gre 007626-54721 • ETS/ GRE Practicing to Take the Lit in English Test • RI51621 • OC 5/9/01revs 5/18/01 rkc • revs 6/29/01 rKc • revs 7/20/01 sb • preflight 8/10/01 chw • revs 5/16/02 jjh • revs 6/12/02 jjh • preflight 6/27/02 jjh • 1stRevs…3.5.04…kaj • preflight 04/01/04 mwr • dr01 4/22/10 mc • dr01revs 5/7/10 mc • pdf 5/10/10 mc • Drft02 5/20/10 jdb • Revs Drft02 5/26/10 jdb • PDF Drft002/5/26/10 jdb • Preflight 6/2/10 jdb • dr01 5/4/11 mc • RevsDrft01 5/12/11 jdb • PDF Drft01 5/12/11 jdb • Drft02 5/23/11 jdb • PDF Drft02 5/24/11 jdb • Preflight 6/6/11 jdbNote to Test Takers: Keep this practice book until you receive your score report. This book contains important information about scoring. Copyright  2011 by Educational Testing Service. All rights reserved. ETS, the ETS logos, LISTENING. LEARNING. LEADING., GRADUATE RECORD EXAMINATIONS, and GRE are registered trademarks of Educational Testing Service (ETS) in the United States and other countries. 007626-54721 • ETS/ GRE Practicing to Take the Lit in English Test • RI51621 • OC 5/9/01revs 5/18/01 rkc • revs 6/29/01 rKc • revs 7/20/01 sb • preflight 8/10/01 chw • revs 5/16/02 jjh • revs 6/12/02 jjh • preflight 6/27/02 jjh • 1stRevs…3.5.04…kaj • preflight 04/01/04 mwr • dr01 4/22/10 mc • dr01revs 5/7/10 mc • pdf 5/10/10 mc • Drft02 5/20/10 jdb • Revs Drft02 5/26/10 jdb • PDF Drft002/5/26/10 jdb • Preflight 6/2/10 jdb • dr01 5/4/11 mc • RevsDrft01 5/12/11 jdb • PDF Drft01 5/12/11 jdb • Drft02 5/23/11 jdb • PDF Drft02 5/24/11 jdb • Preflight 6/6/11 jdbGRE Guide to the Use of Scores at www.ets.org/gre/subject/scores/understand. Table of Contents Purpose of the GRE Subject Tests .........................3 Development of the Development of the Subject Tests .........................3 Subject Tests Content of the Physics Test ...................................4 Each new edition of a Subject Test is developed by Preparing for a Subject Test ...................................5 a committee of examiners composed of professors in Test-Taking Strategies ............................................6 the subject who are on undergraduate and graduate What Your Scores Mean ........................................6 faculties in different types of institutions and in different regions of the United States and Canada. Practice GRE Physics Test .....................................9 In selecting members for each committee, the GRE Scoring Your Subject Test ....................................89 Program seeks the advice of appropriate professional Evaluating Your Performance ..............................92 associations in the subject. The content and scope of each test are specified Answer Sheet .......................................................93 and reviewed periodically by the committee of examiners. Test questions are written by committee members and by other university faculty members Purpose of the who are subject-matter specialists. All questions proposed for the test are reviewed and revised by the GRE Subject Tests committee and subject-matter specialists at ETS. The The GRE Subject Tests are designed to help graduate tests are assembled in accordance with the content school admission committees and fellowship sponsors specifications developed by the committee to ensure assess the qualifications of applicants in specific fields adequate coverage of the various aspects of the field of study. The tests also provide you with an assessment and, at the same time, to prevent overemphasis on of your own qualifications. any single topic. The entire test is then reviewed and Scores on the tests are intended to indicate approved by the committee. knowledge of the subject matter emphasized in many Subject-matter and measurement specialists on the undergraduate programs as preparation for graduate ETS staff assist the committee, providing information study. Because past achievement is usually a good and advice about methods of test construction and indicator of future performance, the scores are helpful helping to prepare the questions and assemble the test. in predicting success in graduate study. Because In addition, each test question is reviewed to eliminate the tests are standardized, the test scores permit language, symbols, or content considered potentially comparison of students from different institutions with offensive, inappropriate for major subgroups of the test- different undergraduate programs. For some Subject taking population, or likely to perpetuate any negative Tests, subscores are provided in addition to the total attitude that may be conveyed to these subgroups. score; these subscores indicate the strengths and Because of the diversity of undergraduate curricula, weaknesses of your preparation, and they may help you it is not possible for a single test to cover all the plan future studies. material you may have studied. The examiners, The GRE Board recommends that scores on the therefore, select questions that test the basic Subject Tests be considered in conjunction with knowledge and skills most important for successful other relevant information about applicants. Because graduate study in the particular field. The committee numerous factors influence success in graduate school, keeps the test up-to-date by regularly developing new reliance on a single measure to predict success is not editions and revising existing editions. In this way, the advisable. Other indicators of competence typically test content remains current. In addition, curriculum include undergraduate transcripts showing courses surveys are conducted periodically to ensure that the taken and grades earned, letters of recommendation, content of a test reflects what is currently being taught and GRE General Test scores. For information in the undergraduate curriculum. about the appropriate use of GRE scores, see the 3 PHYSICS TEST PRACTICE BOOK 007626-54721 • ETS/ GRE Practicing to Take the Lit in English Test • RI51621 • OC 5/9/01revs 5/18/01 rkc • revs 6/29/01 rKc • revs 7/20/01 sb • preflight 8/10/01 chw • revs 5/16/02 jjh • revs 6/12/02 jjh • preflight 6/27/02 jjh • 1stRevs…3.5.04…kaj • preflight 04/01/04 mwr • dr01 4/22/10 mc • dr01revs 5/7/10 mc • pdf 5/10/10 mc • Drft02 5/20/10 jdb • Revs Drft02 5/26/10 jdb • PDF Drft002/5/26/10 jdb • Preflight 6/2/10 jdb • dr01 5/4/11 mc • RevsDrft01 5/12/11 jdb • PDF Drft01 5/12/11 jdb • Drft02 5/23/11 jdb • PDF Drft02 5/24/11 jdb • Preflight 6/6/11 jdbAfter a new edition of a Subject Test is first calculators nor tables of logarithms are needed. administered, examinees’ responses to each test If the solution to a problem requires the use of question are analyzed in a variety of ways to determine logarithms, the necessary values are included with whether each question functioned as expected. These the question. • The International System (SI) of units is used analyses may reveal that a question is ambiguous, requires knowledge beyond the scope of the test, or predominantly in the test. A table of information representing various physical constants and a few is inappropriate for the total group or a particular subgroup of examinees taking the test. Such questions conversion factors among SI units is presented in the test book. Whenever necessary, additional are not used in computing scores. Following this analysis, the new test edition is values of physical constants are printed with the text of the question. equated to an existing test edition. In the equating process, statistical methods are used to assess the • The approximate percentages of the test on the major content topics have been set by the difficulty of the new test. Then scores are adjusted so that examinees who took a more difficult edition of committee of examiners, with input from a nationwide survey of undergraduate physics the test are not penalized, and examinees who took an easier edition of the test do not have an advantage. curricula. The percentages reflect the committee’s Variations in the number of questions in the different determination of the relative emphasis placed on editions of the test are also taken into account in this each topic in a typical undergraduate program. process. These percentages are given below along with the Scores on the Subject Tests are reported as three- major subtopics included in each content category. digit scaled scores with the third digit always zero. • Nearly all the questions in the test will relate to The maximum possible range for all Subject Test material in this listing; however, there may be total scores is from 200 to 990. The actual range occasional questions on other topics not explicitly of scores for a particular Subject Test, however, may listed here. be smaller. For Subject Tests that report subscores, 20% 1. CLASSICAL MECHANICS (such as the maximum possible range is 20 to 99; however, kinematics, Newton’s laws, work and en- the actual range of subscores for any test or test ergy, oscillatory motion, rotational motion edition may be smaller. Subject Test score interpretive about a fixed axis, dynamics of systems information is provided in Interpreting Your GRE of particles, central forces and celestial Scores, which you will receive with your GRE score mechanics, three-dimensional particle report. This publication is also available at dynamics, Lagrangian and Hamiltonian www.ets.org/gre/subject/scores/understand. formalism, noninertial reference frames, elementary topics in fluid dynamics) Content of the Physics T est 2. ELECTROMAGNETISM (such as 18% electrostatics, currents and DC circuits, • The test consists of approximately 100 five-choice magnetic fields in free space, Lorentz questions, some of which are grouped in sets force, induction, Maxwell’s equations and and based on such materials as diagrams, graphs, their applications, electromagnetic waves, experimental data and descriptions of physical AC circuits, magnetic and electric fields situations. in matter) • The aim of the test is to determine the extent of the examinees’ grasp of fundamental principles and 3. OPTICS AND WAVE PHENOMENA 9% their ability to apply these principles in the solution (such as wave properties, superposition, of problems. interference, diffraction, geometrical • Most test questions can be answered on the basis of optics, polarization, Doppler effect) a mastery of the first three years of undergraduate 10% 4. THERMODYNAMICS AND STATIS- physics. TICAL MECHANICS (such as the laws • The test questions are constructed to simplify of thermodynamics, thermodynamic pro- mathematical manipulations. As a result, neither 4 PHYSICS TEST PRACTICE BOOK 007626-54721 • ETS/ GRE Practicing to Take the Lit in English Test • RI51621 • OC 5/9/01revs 5/18/01 rkc • revs 6/29/01 rKc • revs 7/20/01 sb • preflight 8/10/01 chw • revs 5/16/02 jjh • revs 6/12/02 jjh • preflight 6/27/02 jjh • 1stRevs…3.5.04…kaj • preflight 04/01/04 mwr • dr01 4/22/10 mc • dr01revs 5/7/10 mc • pdf 5/10/10 mc • Drft02 5/20/10 jdb • Revs Drft02 5/26/10 jdb • PDF Drft002/5/26/10 jdb • Preflight 6/2/10 jdb • dr01 5/4/11 mc • RevsDrft01 5/12/11 jdb • PDF Drft01 5/12/11 jdb • Drft02 5/23/11 jdb • PDF Drft02 5/24/11 jdb • Preflight 6/6/11 jdbcesses, equations of state, ideal gases, Those taking the test should be familiar with kinetic theory, ensembles, statistical certain mathematical methods and their applications concepts and calculation of thermody- in physics. Such mathematical methods include namic quantities, thermal expansion single and multivariate calculus, coordinate systems and heat transfer) (rectangular, cylindrical and spherical), vector algebra and vector differential operators, Fourier series, partial 5. QUANTUM MECHANICS (such as 12% differential equations, boundary value problems, fundamental concepts, solutions of the matrices and determinants, and functions of complex Schrödinger equation (including square variables. These methods may appear in the test in wells, harmonic oscillators, and hydro- the context of various content categories as well as genic atoms), spin, angular momentum, occasional questions concerning only mathematics in wave function symmetry, elementary the specialized topics category above. perturbation theory) 6. ATOMIC PHYSICS (such as proper- 10% Preparing for a Subject Test ties of electrons, Bohr model, energy quantization, atomic structure, atomic GRE Subject Test questions are designed to measure spectra, selection rules, black-body skills and knowledge gained over a long period of radiation, x-rays, atoms in electric and time. Although you might increase your scores to magnetic fields) some extent through preparation a few weeks or months before you take the test, last minute cramming 7. SPECIAL RELATIVITY (such as 6% is unlikely to be of further help. The following introductory concepts, time dilation, information may be helpful. length contraction, simultaneity, energy and momentum, four-vectors  A general review of your college courses is and Lorentz transformation, velocity probably the best preparation for the test. addition) However, the test covers a broad range of subject matter, and no one is expected to be familiar with 8. LABORATORY METHODS (such 6% the content of every question. as data and error analysis, electron- ics, instrumentation, radiation detec-  Use this practice book to become familiar with tion, counting statistics, interaction the types of questions in the GRE Physics Test, of charged particles with matter, lasers taking note of the directions. If you understand and optical interferometers, dimension- the directions before you take the test, you will al analysis, fundamental applications of have more time during the test to focus on the probability and statistics) questions themselves. 9% 9. SPECIALIZED TOPICS: Nuclear and Particle physics (e.g., nuclear proper- ties, radioactive decay, fission and fu- sion, reactions, fundamental properties of elementary particles), Condensed Matter (e.g., crystal structure, x-ray diffraction, thermal properties, elec- tron theory of metals, semiconductors, superconductors), Miscellaneous (e.g., astrophysics, mathematical methods, computer applications) 5 PHYSICS TEST PRACTICE BOOK 007626-54721 • ETS/ GRE Practicing to Take the Lit in English Test • RI51621 • OC 5/9/01revs 5/18/01 rkc • revs 6/29/01 rKc • revs 7/20/01 sb • preflight 8/10/01 chw • revs 5/16/02 jjh • revs 6/12/02 jjh • preflight 6/27/02 jjh • 1stRevs…3.5.04…kaj • preflight 04/01/04 mwr • dr01 4/22/10 mc • dr01revs 5/7/10 mc • pdf 5/10/10 mc • Drft02 5/20/10 jdb • Revs Drft02 5/26/10 jdb • PDF Drft002/5/26/10 jdb • Preflight 6/2/10 jdb • dr01 5/4/11 mc • RevsDrft01 5/12/11 jdb • PDF Drft01 5/12/11 jdb • Drft02 5/23/11 jdb • PDF Drft02 5/24/11 jdb • Preflight 6/6/11 jdbTest-Taking Strategies What Your Scores Mean The questions in the practice test in this book Your raw score — that is, the number of questions you illustrate the types of multiple-choice questions in the answered correctly minus one-fourth of the number test. When you take the actual test, you will mark your you answered incorrectly — is converted to the scaled answers on a separate machine-scorable answer sheet. score that is reported. This conversion ensures that Total testing time is two hours and fifty minutes; there a scaled score reported for any edition of a Subject are no separately timed sections. Following are some Test is comparable to the same scaled score earned general test-taking strategies you may want to consider. on any other edition of the same test. Thus, equal scaled scores on a particular Subject Test indicate  Read the test directions carefully, and work as essentially equal levels of performance regardless of rapidly as you can without being careless. For the test edition taken. Test scores should be compared each question, choose the best answer from the only with other scores on the same Subject Test. (For available options. example, a 680 on the Physics Test is not equivalent to  All questions are of equal value; do not waste a 680 on the Mathematics Test.) time pondering individual questions you find Before taking the test, you may find it useful to know extremely difficult or unfamiliar. approximately what raw scores would be required to obtain a certain scaled score. Several factors influence  You may want to work through the test quite the conversion of your raw score to your scaled score, rapidly, first answering only the questions about such as the difficulty of the test edition and the which you feel confident, then going back and number of test questions included in the computation answering questions that require more thought, of your raw score. Based on recent editions of the and concluding with the most difficult questions Physics Test, the following table gives the range of raw if there is time. scores associated with selected scaled scores for three  If you decide to change an answer, make sure different test editions. (Note that when the number you completely erase it and fill in the oval of scored questions for a given test is greater than the corresponding to your desired answer. number of actual scaled score points, it is likely that  Questions for which you mark no answer or more two or more raw scores will convert to the same scaled than one answer are not counted in scoring. score.) The three test editions in the table that follows were selected to reflect varying degrees of difficulty.  Your score will be determined by subtracting Examinees should note that future test editions may be one-fourth the number of incorrect answers from somewhat more or less difficult than the test editions the number of correct answers. If you have some illustrated in the table. knowledge of a question and are able to rule out one or more of the answer choices as incorrect, your chances of selecting the correct answer are improved, and answering such questions will likely improve your score. It is unlikely that pure guessing will raise your score; it may lower your score.  Record all answers on your answer sheet. Answers recorded in your test book will not be counted.  Do not wait until the last five minutes of a testing session to record answers on your answer sheet. 6 PHYSICS TEST PRACTICE BOOK 007626-54721 • ETS/ GRE Practicing to Take the Lit in English Test • RI51621 • OC 5/9/01revs 5/18/01 rkc • revs 6/29/01 rKc • revs 7/20/01 sb • preflight 8/10/01 chw • revs 5/16/02 jjh • revs 6/12/02 jjh • preflight 6/27/02 jjh • 1stRevs…3.5.04…kaj • preflight 04/01/04 mwr • dr01 4/22/10 mc • dr01revs 5/7/10 mc • pdf 5/10/10 mc • Drft02 5/20/10 jdb • Revs Drft02 5/26/10 jdb • PDF Drft002/5/26/10 jdb • Preflight 6/2/10 jdb • dr01 5/4/11 mc • RevsDrft01 5/12/11 jdb • PDF Drft01 5/12/11 jdb • Drft02 5/23/11 jdb • PDF Drft02 5/24/11 jdb • Preflight 6/6/11 jdbRange of Raw Scores Needed to Earn Selected Scaled Scores on Three Physics Test Editions That Differ in Difficulty Raw Scores Scaled Score Form A Form B Form C 900 79 75-76 72 800 69 62 60 700 57 48-49 46-47 600 41-42 34 32 Number of Questions Used to Compute Raw Score 100 100 100 Raw Score = Number of correct answers minus one-fourth the number of incorrect answers, rounded to the nearest integer. For a particular test edition, there are many ways to earn the same raw score. For example, on the edition listed above as “Form A,” a raw score of 57 would earn a scaled score of 700. Below are a few of the possible ways in which a scaled score of 700 could be earned on the edition. Examples of Ways to Earn a Scaled Score of 700 on the Edition Labeled as “Form A” Number of Questions Questions Questions Questions Used Raw Answered Answered Not to Compute Score Correctly Incorrectly Answered Raw Score 57 57 0 43 100 57 61 17 22 100 57 65 34 1 100 7 PHYSICS TEST PRACTICE BOOK 007626-54721 • ETS/ GRE Practicing to Take the Lit in English Test • RI51621 • OC 5/9/01revs 5/18/01 rkc • revs 6/29/01 rKc • revs 7/20/01 sb • preflight 8/10/01 chw • revs 5/16/02 jjh • revs 6/12/02 jjh • preflight 6/27/02 jjh • 1stRevs…3.5.04…kaj • preflight 04/01/04 mwr • dr01 4/22/10 mc • dr01revs 5/7/10 mc • pdf 5/10/10 mc • Drft02 5/20/10 jdb • Revs Drft02 5/26/10 jdb • PDF Drft002/5/26/10 jdb • Preflight 6/2/10 jdb • dr01 5/4/11 mc • RevsDrft01 5/12/11 jdb • PDF Drft01 5/12/11 jdb • Drft02 5/23/11 jdb • PDF Drft02 5/24/11 jdb • Preflight 6/6/11 jdbPractice Test To become familiar with how the administration will be conducted at the test center, first remove the answer sheet (pages 93 and 94). Then go to the back cover of the test book (page 88) and follow the instructions for completing the identifica- tion areas of the answer sheet. When you are ready to begin the test, note the time and begin marking your answers on the answer sheet. 8 PHYSICS TEST PRACTICE BOOK 007626-54721 • ETS/ GRE Practicing to Take the Lit in English Test • RI51621 • OC 5/9/01revs 5/18/01 rkc • revs 6/29/01 rKc • revs 7/20/01 sb • preflight 8/10/01 chw • revs 5/16/02 jjh • revs 6/12/02 jjh • preflight 6/27/02 jjh • 1stRevs…3.5.04…kaj • preflight 04/01/04 mwr • dr01 4/22/10 mc • dr01revs 5/7/10 mc • pdf 5/10/10 mc • Drft02 5/20/10 jdb • Revs Drft02 5/26/10 jdb • PDF Drft002/5/26/10 jdb • Preflight 6/2/10 jdb • dr01 5/4/11 mc • RevsDrft01 5/12/11 jdb • PDF Drft01 5/12/11 jdb • Drft02 5/23/11 jdb • PDF Drft02 5/24/11 jdb • Preflight 6/6/11 jdbFORM GR0877 77 ® GRADUATE RECORD EXAMINATIONS PHYSICS TEST Do not break the seal until you are told to do so. The contents of this test are confidential. Disclosure or reproduction of any portion of it is prohibited. THIS TEST BOOK MUST NOT BE TAKEN FROM THE ROOM. Copyright © 2008 by Educational Testing Service. All rights reserved. GRE, GRADUATE RECORD EXAMINATIONS, ETS, EDUCATIONAL TESTING SERVICE and the ETS logos are registered trademarks of Educational Testing Service. 9 007626-54721 • ETS/ GRE Practicing to Take the Lit in English Test • RI51621 • OC 5/9/01revs 5/18/01 rkc • revs 6/29/01 rKc • revs 7/20/01 sb • preflight 8/10/01 chw • revs 5/16/02 jjh • revs 6/12/02 jjh • preflight 6/27/02 jjh • 1stRevs…3.5.04…kaj • preflight 04/01/04 mwr • dr01 4/22/10 mc • dr01revs 5/7/10 mc • pdf 5/10/10 mc • Drft02 5/20/10 jdb • Revs Drft02 5/26/10 jdb • PDF Drft002/5/26/10 jdb • Preflight 6/2/10 jdb • dr01 5/4/11 mc • RevsDrft01 5/12/11 jdb • PDF Drft01 5/12/11 jdb • Drft02 5/23/11 jdb • PDF Drft02 5/24/11 jdb • Preflight 6/6/11 jdb TABLE OF INFORMATION −31 Rest mass of the electron m = 9.11 × 10 kg e −19 Magnitude of the electron charge e = 1.60 × 10 C 23 Avogadro’s number N = 6.02 × 10 A • Universal gas constant R = 8.31 J/(mol K) −23 Boltzmann’s constant k = 1.38 × 10 J/K 8 c Speed of light = 3.00 × 10 m/s −34−15 •• Planck’s constant h = 6.63 × 10 J s = 4.14 × 10 eV s j = h/2p • nm hc = 1240 eV −12 2 2 • m ) Vacuum permittivity  = 8.85 × 10 C /(N 0 −7 • m/A Vacuum permeability μ = 4p × 10 T 0 −11 3 2 m • s ) Universal gravitational constant G = 6.67 × 10 /(kg 2 Acceleration due to gravity g = 9.80 m/s 5 5 2 1 atmosphere pressure 1 atm = 1.0 × 10 N/m = 1.0 × 10 Pa −10 1 angstrom 1Å = 1 × 10 m = 0.1 nm Prefixes for Powers of 10 Rotational inertia about center of mass −15 1 2 10 femto f Rod MA 12 −12 10 pico p 1 2 Disc MR −9 10 nano n 2 −6 2 2 10 micro μ Sphere MR 5 −3 10 milli m −2 10 centi c 3 10 kilo k 6 10 mega M 9 10 giga G 12 10 tera T 15 10 peta P 10 -2- 007626-54721 • ETS/ GRE Practicing to Take the Lit in English Test • RI51621 • OC 5/9/01revs 5/18/01 rkc • revs 6/29/01 rKc • revs 7/20/01 sb • preflight 8/10/01 chw • revs 5/16/02 jjh • revs 6/12/02 jjh • preflight 6/27/02 jjh • 1stRevs…3.5.04…kaj • preflight 04/01/04 mwr • dr01 4/22/10 mc • dr01revs 5/7/10 mc • pdf 5/10/10 mc • Drft02 5/20/10 jdb • Revs Drft02 5/26/10 jdb • PDF Drft002/5/26/10 jdb • Preflight 6/2/10 jdb • dr01 5/4/11 mc • RevsDrft01 5/12/11 jdb • PDF Drft01 5/12/11 jdb • Drft02 5/23/11 jdb • PDF Drft02 5/24/11 jdb • Preflight 6/6/11 jdbThis test starts on page 12. 11 007626-54721 • ETS/ GRE Practicing to Take the Lit in English Test • RI51621 • OC 5/9/01revs 5/18/01 rkc • revs 6/29/01 rKc • revs 7/20/01 sb • preflight 8/10/01 chw • revs 5/16/02 jjh • revs 6/12/02 jjh • preflight 6/27/02 jjh • 1stRevs…3.5.04…kaj • preflight 04/01/04 mwr • dr01 4/22/10 mc • dr01revs 5/7/10 mc • pdf 5/10/10 mc • Drft02 5/20/10 jdb • Revs Drft02 5/26/10 jdb • PDF Drft002/5/26/10 jdb • Preflight 6/2/10 jdb • dr01 5/4/11 mc • RevsDrft01 5/12/11 jdb • PDF Drft01 5/12/11 jdb • Drft02 5/23/11 jdb • PDF Drft02 5/24/11 jdb • Preflight 6/6/11 jdb PHYSICS TEST Time—170 minutes 100 Questions Directions: Each of the questions or incomplete statements below is followed by five suggested answers or completions. Select the one that is best in each case and then fill in the corresponding space on the answer sheet. 2. An object is thrown horizontally from the open 1. A ball is thrown out of the passenger window of window of a building. If the initial speed of the a car moving to the right (ignore air resistance). If object is 20 m/s and it hits the ground 2.0 s later, the ball is thrown out perpendicular to the velocity from what height was it thrown? (Neglect air of the car, which of the following best depicts the resistance and assume the ground is level.) path the ball takes, as viewed from above? (A) 4.9 m (A) (B) 9.8 m (C) 10.0 m (D) 19.6 m (E) 39.2 m 3. A resistor in a circuit dissipates energy at a rate of 1 W. If the voltage across the resistor is doubled, what will be the new rate of energy (B) dissipation? (A) 0.25 W (B) 0.5 W (C) 1 W (D) 2 W (E) 4 W (C) (D) (E) Unauthorized copying or reuse of any part of this page is illegal. GO ON TO THE NEXT PAGE. -4- 12 007626-54721 • ETS/ GRE Practicing to Take the Lit in English Test • RI51621 • OC 5/9/01revs 5/18/01 rkc • revs 6/29/01 rKc • revs 7/20/01 sb • preflight 8/10/01 chw • revs 5/16/02 jjh • revs 6/12/02 jjh • preflight 6/27/02 jjh • 1stRevs…3.5.04…kaj • preflight 04/01/04 mwr • dr01 4/22/10 mc • dr01revs 5/7/10 mc • pdf 5/10/10 mc • Drft02 5/20/10 jdb • Revs Drft02 5/26/10 jdb • PDF Drft002/5/26/10 jdb • Preflight 6/2/10 jdb • dr01 5/4/11 mc • RevsDrft01 5/12/11 jdb • PDF Drft01 5/12/11 jdb • Drft02 5/23/11 jdb • PDF Drft02 5/24/11 jdb • Preflight 6/6/11 jdb SCRATCH WORK -5- 13 007626-54721 • ETS/ GRE Practicing to Take the Lit in English Test • RI51621 • OC 5/9/01revs 5/18/01 rkc • revs 6/29/01 rKc • revs 7/20/01 sb • preflight 8/10/01 chw • revs 5/16/02 jjh • revs 6/12/02 jjh • preflight 6/27/02 jjh • 1stRevs…3.5.04…kaj • preflight 04/01/04 mwr • dr01 4/22/10 mc • dr01revs 5/7/10 mc • pdf 5/10/10 mc • Drft02 5/20/10 jdb • Revs Drft02 5/26/10 jdb • PDF Drft002/5/26/10 jdb • Preflight 6/2/10 jdb • dr01 5/4/11 mc • RevsDrft01 5/12/11 jdb • PDF Drft01 5/12/11 jdb • Drft02 5/23/11 jdb • PDF Drft02 5/24/11 jdb • Preflight 6/6/11 jdb 7. The root-mean-square speed of molecules of mass m in an ideal gas at temperature T is (A) 0 2kT (B) m 3kT (C) m 8kT (D) pm 4. An infinitely long, straight wire carrying current I passes through the center of a circular loop 1 kT of wire carrying current I , as shown above. The (E) 2 m long wire is perpendicular to the plane of the loop. Which of the following describes the magnetic 8. The energy from electromagnetic waves in equilibrium in a cavity is used to melt ice. If the force on the loop? Kelvin temperature of the cavity is increased by a (A) Outward, along a radius of the loop. factor of two, the mass of ice that can be melted in (B) Inward, along a radius of the loop. a fixed amount of time is increased by a factor of (C) Upward, along the axis of the loop. (A) 2 (D) Downward, along the axis of the loop. (B) 4 (E) There is no magnetic force on the loop. (C) 8 5. De Broglie hypothesized that the linear (D) 16 (E) 32 momentum and wavelength of a free massive particle are related by which of the following constants? (A) Planck’s constant (B) Boltzmann’s constant (C) The Rydberg constant (D) The speed of light (E) Avogadro’s number 6. An atom has filled n = 1 and n = 2 levels. How many electrons does the atom have? (A) 2 (B) 4 (C) 6 (D) 8 (E) 10 Unauthorized copying or reuse of any part of this page is illegal. GO ON TO THE NEXT PAGE. -6- 14 007626-54721 • ETS/ GRE Practicing to Take the Lit in English Test • RI51621 • OC 5/9/01revs 5/18/01 rkc • revs 6/29/01 rKc • revs 7/20/01 sb • preflight 8/10/01 chw • revs 5/16/02 jjh • revs 6/12/02 jjh • preflight 6/27/02 jjh • 1stRevs…3.5.04…kaj • preflight 04/01/04 mwr • dr01 4/22/10 mc • dr01revs 5/7/10 mc • pdf 5/10/10 mc • Drft02 5/20/10 jdb • Revs Drft02 5/26/10 jdb • PDF Drft002/5/26/10 jdb • Preflight 6/2/10 jdb • dr01 5/4/11 mc • RevsDrft01 5/12/11 jdb • PDF Drft01 5/12/11 jdb • Drft02 5/23/11 jdb • PDF Drft02 5/24/11 jdb • Preflight 6/6/11 jdb SCRATCH WORK -7- 15 007626-54721 • ETS/ GRE Practicing to Take the Lit in English Test • RI51621 • OC 5/9/01revs 5/18/01 rkc • revs 6/29/01 rKc • revs 7/20/01 sb • preflight 8/10/01 chw • revs 5/16/02 jjh • revs 6/12/02 jjh • preflight 6/27/02 jjh • 1stRevs…3.5.04…kaj • preflight 04/01/04 mwr • dr01 4/22/10 mc • dr01revs 5/7/10 mc • pdf 5/10/10 mc • Drft02 5/20/10 jdb • Revs Drft02 5/26/10 jdb • PDF Drft002/5/26/10 jdb • Preflight 6/2/10 jdb • dr01 5/4/11 mc • RevsDrft01 5/12/11 jdb • PDF Drft01 5/12/11 jdb • Drft02 5/23/11 jdb • PDF Drft02 5/24/11 jdb • Preflight 6/6/11 jdb 11. A quantum mechanical harmonic oscillator has an angular frequency w. The Schrödinger equation predicts that the ground state energy of the oscillator will be 1 (A) -=w 2 (B) 0 1 (C) =w 2 (D) =w 9. The figure above represents the orbit of a planet 3 around a star, S, and the marks divide the orbit (E) =w 2 into 14 equal time intervals, t= T 14 , where T is the orbital period. If the only force acting on 12. In the Bohr model of the hydrogen atom, the the planet is Newtonian gravitation, then true linear momentum of the electron at radius r statements about the situation include which of n the following? is given by which of the following? ( n is the principal quantum number.) I. Area A = area B II. The star S is at one focus of an elliptically (A) n= shaped orbit. 2 3 (B) nr= III. T= Ca , where a is the semimajor axis n of the ellipse and C is a constant. n= (C) r (A) I only n (B) II only 2 (D) n r= n (C) I and II only 2 (D) II and III only n= (E) (E) I, II, and III r n 10. A massless spring with force constant k launches a ball of mass m . In order for the ball to reach a speed u , by what displacement s should the spring be compressed? k (A) s=u m m (B) s=u k 2k (C) s=u m m (D) s=u k m 2 (E) s=u 2k Unauthorized copying or reuse of any part of this page is illegal. GO ON TO THE NEXT PAGE. -8- 16 007626-54721 • ETS/ GRE Practicing to Take the Lit in English Test • RI51621 • OC 5/9/01revs 5/18/01 rkc • revs 6/29/01 rKc • revs 7/20/01 sb • preflight 8/10/01 chw • revs 5/16/02 jjh • revs 6/12/02 jjh • preflight 6/27/02 jjh • 1stRevs…3.5.04…kaj • preflight 04/01/04 mwr • dr01 4/22/10 mc • dr01revs 5/7/10 mc • pdf 5/10/10 mc • Drft02 5/20/10 jdb • Revs Drft02 5/26/10 jdb • PDF Drft002/5/26/10 jdb • Preflight 6/2/10 jdb • dr01 5/4/11 mc • RevsDrft01 5/12/11 jdb • PDF Drft01 5/12/11 jdb • Drft02 5/23/11 jdb • PDF Drft02 5/24/11 jdb • Preflight 6/6/11 jdb SCRATCH WORK -9- 17 007626-54721 • ETS/ GRE Practicing to Take the Lit in English Test • RI51621 • OC 5/9/01revs 5/18/01 rkc • revs 6/29/01 rKc • revs 7/20/01 sb • preflight 8/10/01 chw • revs 5/16/02 jjh • revs 6/12/02 jjh • preflight 6/27/02 jjh • 1stRevs…3.5.04…kaj • preflight 04/01/04 mwr • dr01 4/22/10 mc • dr01revs 5/7/10 mc • pdf 5/10/10 mc • Drft02 5/20/10 jdb • Revs Drft02 5/26/10 jdb • PDF Drft002/5/26/10 jdb • Preflight 6/2/10 jdb • dr01 5/4/11 mc • RevsDrft01 5/12/11 jdb • PDF Drft01 5/12/11 jdb • Drft02 5/23/11 jdb • PDF Drft02 5/24/11 jdb • Preflight 6/6/11 jdb 13. The figure above represents a log-log plot of variable y versus variable x. The origin represents the point x = 1 and y = 1. Which of the following gives the approximate functional relationship between y and x ? (A) y= 6 x 1 (B) y= x+ 6 2 (C) y= 6x+ 0.5 1 2 (D) y= x 6 2 (E) y= 6x Unauthorized copying or reuse of any part of this page is illegal. GO ON TO THE NEXT PAGE. -10- 18 007626-54721 • ETS/ GRE Practicing to Take the Lit in English Test • RI51621 • OC 5/9/01revs 5/18/01 rkc • revs 6/29/01 rKc • revs 7/20/01 sb • preflight 8/10/01 chw • revs 5/16/02 jjh • revs 6/12/02 jjh • preflight 6/27/02 jjh • 1stRevs…3.5.04…kaj • preflight 04/01/04 mwr • dr01 4/22/10 mc • dr01revs 5/7/10 mc • pdf 5/10/10 mc • Drft02 5/20/10 jdb • Revs Drft02 5/26/10 jdb • PDF Drft002/5/26/10 jdb • Preflight 6/2/10 jdb • dr01 5/4/11 mc • RevsDrft01 5/12/11 jdb • PDF Drft01 5/12/11 jdb • Drft02 5/23/11 jdb • PDF Drft02 5/24/11 jdb • Preflight 6/6/11 jdb SCRATCH WORK -11- 19 007626-54721 • ETS/ GRE Practicing to Take the Lit in English Test • RI51621 • OC 5/9/01revs 5/18/01 rkc • revs 6/29/01 rKc • revs 7/20/01 sb • preflight 8/10/01 chw • revs 5/16/02 jjh • revs 6/12/02 jjh • preflight 6/27/02 jjh • 1stRevs…3.5.04…kaj • preflight 04/01/04 mwr • dr01 4/22/10 mc • dr01revs 5/7/10 mc • pdf 5/10/10 mc • Drft02 5/20/10 jdb • Revs Drft02 5/26/10 jdb • PDF Drft002/5/26/10 jdb • Preflight 6/2/10 jdb • dr01 5/4/11 mc • RevsDrft01 5/12/11 jdb • PDF Drft01 5/12/11 jdb • Drft02 5/23/11 jdb • PDF Drft02 5/24/11 jdb • Preflight 6/6/11 jdb 14. Two experimental techniques determine the 15. If the five lenses shown below are made of the same material, which lens has the shortest positive mass of an object to be 11 ± 1 kg and 10 ± 2 kg. focal length? These two measurements can be combined to give a weighted average. The uncertainty of the (A) weighted average is equal to which of the following? 1 (A) kg 2 2 (B) kg 5 (B) 2 (C) kg 3 (D) 2 kg (E) 5 kg (C) (D) (E) Unauthorized copying or reuse of any part of this page is illegal. GO ON TO THE NEXT PAGE. -12- 20 007626-54721 • ETS/ GRE Practicing to Take the Lit in English Test • RI51621 • OC 5/9/01revs 5/18/01 rkc • revs 6/29/01 rKc • revs 7/20/01 sb • preflight 8/10/01 chw • revs 5/16/02 jjh • revs 6/12/02 jjh • preflight 6/27/02 jjh • 1stRevs…3.5.04…kaj • preflight 04/01/04 mwr • dr01 4/22/10 mc • dr01revs 5/7/10 mc • pdf 5/10/10 mc • Drft02 5/20/10 jdb • Revs Drft02 5/26/10 jdb • PDF Drft002/5/26/10 jdb • Preflight 6/2/10 jdb • dr01 5/4/11 mc • RevsDrft01 5/12/11 jdb • PDF Drft01 5/12/11 jdb • Drft02 5/23/11 jdb • PDF Drft02 5/24/11 jdb • Preflight 6/6/11 jdb