# 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.

5 Pages

### mt2-2008

Course: PHYS PHYS-102, Fall 2009
School: Bilkent University
Rating:

Word Count: 708

#### Document Preview

102 PHYS General Physics II Midterm Exam II, April 26, 2008 Duration: 100 minutes NAME:.................................................................... Section:...................... Q.1 (35) Q.2 (35) Q.3 (35) Total (105) Suggestions: 1. 2. 3. 4. Read the questions carefully. State the solutions clearly and with necessary comments (explanations). Write legibly. Check your results in terms of dimensions,...

Register Now

#### Unformatted Document Excerpt

Coursehero >> Other International >> Bilkent University >> PHYS PHYS-102

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.
102 PHYS General Physics II Midterm Exam II, April 26, 2008 Duration: 100 minutes NAME:.................................................................... Section:...................... Q.1 (35) Q.2 (35) Q.3 (35) Total (105) Suggestions: 1. 2. 3. 4. Read the questions carefully. State the solutions clearly and with necessary comments (explanations). Write legibly. Check your results in terms of dimensions, units, and special limits of the problem. Note: Solutions will be available just after the exam at http://www.fen.bilkent.edu.tr/~phys102 Q.1 (35 points) RC Circuit An EMF source with potential difference and internal resistance r is connected to a resistor R and a capacitor with capacitance C in series connection through a switch S as in the figure. Initially there is no charge in the capacitor and at t=0 switch S is closed. Write your answers in terms of , r, R, C and t. R S C r (a) (5pts) Show the direction of the positive current flow and write down the equation for charge on the capacitor for t>0, using Kirchhoff's rules. (Note that your equation should include charge q, only (not current) as a dependent variable. (b) (5pts) Show that q (t ) = C 1 - e-t / , is the solution for the equation you write in part (a) by directly substituting it into equation provided that is chosen properly. Determine (also specify its SI unit). ( ) (c) (5pts) What is the initial current at t=0 when switch S is closed? What is the current passing through the circuit at t>0? (d) (5pts) What is the maximum amount of charge that can be stored in the capacitor and when is this amount of charge accumulated in the capacitor? (e) (5pts) Plot current versus time and charge versus time graphs. Show the initial and final current/charge values in the graphs. (f) (5pts) How much energy is stored in the capacitor at some time t1>0? (g) (5pts) How much heat (energy) has been generated in the resistor R from t=0 to t=t1? Q.2 (35 points) Magnetic Field Two current loops with equal current I (both oriented the in same direction) and radii R are separated by a long distance L as shown in the figure. L is much larger than R. (a) Find the magnetic moments of both current loops. (b) Find the magnetic field generated by the loop on the left at the center of the other loop on the right (c) Show that, in order to separate these loops infinitely far apart, one has to do a positive work given by W = 0 2 ( L2 + R 2 ) 1 2 3/ 2 . I R I R L Q.3 (35 points) Electromagnetic Induction A rectangular loop of wire with mass m, width w, vertical length l, and resistance R falls out of a magnetic field under the influence of gravity. The magnetic field is uniform and out of the paper ) within the area shown (see sketch) and zero outside of that area. At the time shown in ( , where the sketch, the loop is exiting the magnetic field at speed (meaning the loop is moving downward, not upward). Suppose at time t the distance from the top of the loop to the point where the magnetic field goes to zero is z(t) (see sketch). (a) What is the relationship between V(t) and z(t)? Be careful of your signs here, remember that z(t) is positive and decreasing with time, so dz(t)/dt < 0. (b) If we define the area vector to be out of the page, what is the magnetic flux B through our circuit at time t (in terms of z(t), not V(t)). (c) What is dB / dt ? Is this positive or negative at time t? Be careful here, your answer should include V(t) (not z(t) and remember that V(t) < 0 ). (d) What is the direction (clockwise or counterclockwise) and magnitude of the induced current on the loop of wire? (e) What is the direction (into the page or out of the page) of the self-magnetic field due to the induced current inside the circuit loop? (f) Besides gravity, what other force acts on the loop in the z-direction? Give the magnitude and direction of this force in terms of the quantities given. (Hint: use dF = Idl B ) (g) What is the magnitude of the terminal velocity? (Extra blank sheet; please indicate the problem number you continue)
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:

Abraham Baldwin Agricultural College - ENG - 301
Schepps Dairy presents Project Discovery 2004-2005The Importance of Being EarnestBy Oscar WildeTable of Contents Synopsis &amp; Characters 2 Oscar Wilde 3 Epigrams 4 Timeline &amp; Glossary 5 Victorian Etiquette 6 Student Activities 7 Resources &amp; Reminders 8P
Cornell - CS - 2800
Discrete Structures CS 2800Prof. Bart Selman selman@cs.cornell.eduModule Logic (part 1)1Logic in generalLogics are formal languages for formalizing reasoning, in particular for representing information such that conclusions can be drawn A logic invol
Cornell - CS - 2800
Discrete Math CS 280Prof. Bart Selman selman@cs.cornell.eduModule Probability - Part a) Introduction1TerminologyExperiment A repeatable procedure that yields one of a given set of outcomes Rolling a die, for exampleSample space The set of possible
Cornell - CS - 2800
Discrete Math CS 280Prof. Bart Selman selman@cs.cornell.eduModule Probability - Part b) Bayes Rule Random Variables1Bayes TheoremHow to assess the probability that a particular event will occur on the basis of partial evidence? Examples: What is the
Cornell - CS - 2800
Discrete Math CS 2800Prof. Bart Selman selman@cs.cornell.edu Module Probability - Part c)1) Linearity of Expectation 2) St. Petersburg (Gambling) Paradox 3) Randomized Algorithms 4) Variance1Linearity of Expectation2Linearity of ExpectationE ( X1 +
Cornell - CS - 2110
OverviewToday: Design Concepts &amp; PrinciplesCS 2110Software Design Principles IJuan Altmayer Pizzorno port25.com Top-Down, Bottom-Up Design Software Process (briey) Modularity Information Hiding, Encapsulation Principles of Least Astonishment and DRY
Cornell - CS - 2110
CS 2110Software Design Principles IJuan Altmayer Pizzorno port25.comOverviewToday: Design Concepts &amp; Principles Top-Down, Bottom-Up Design Software Process (briey) Modularity Information Hiding, Encapsulation Principles of Least Astonishment and DRY
Cornell - CS - 2110
OverviewLast week:CS 2110Software Design Principles IIJuan Altmayer Pizzorno port25.com Design Concepts &amp; Principles RefactoringToday: Test-Driven Development TDD + JUnit by ExampleThe ExampleTest Driven DevelopmentA collection class SmallSet
Cornell - CS - 2110
CS 2110Software Design Principles IIJuan Altmayer Pizzorno port25.comOverviewLast week: Design Concepts &amp; Principles RefactoringToday: Test-Driven Development TDD + JUnit by ExampleThe ExampleA collection class SmallSet containing up to N objec
Cornell - CS - 2110
Announcements! Assignment 1 has been posted&quot; Due Wednesday, September 10, 11:59pm &quot; Materials available in CMSJava Review! Check that you are in CMS&quot; Report any problems to your Section TA (email is fine)Lecture 2 CS2110 Fall 2008! Its really a goo
Cornell - CS - 2110
Java ReviewLecture 2 CS2110 Fall 2008Announcements Assignment 1 has been posted Due Wednesday, September 10, 11:59pm Materials available in CMS Check that you are in CMS Report any problems to your Section TA (email is fine) Its really a good idea
Cornell - CS - 2110
InterfacesInterfaces &amp; TypesLecture 4 CS2110 Fall 2008 What is an interface? Informally, it is a specification of how an agent interacts with the outside world Java has a construct called interface which is used formally for this purpose an interface d
Cornell - CS - 2110
Interfaces &amp; TypesLecture 4 CS2110 Fall 2008Interfaces What is an interface? Informally, it is a specification of how an agent interacts with the outside world Java has a construct called interface which is used formally for this purpose an interface
Cornell - CS - 2110
Announcements Introduction to Graphical User Interfaces (GUIs)! A3 is up, due Friday, Oct 10 ! Prelim 1 scheduled for Oct 16&quot; if you have a conflict, let us know nowLecture 10 CS2110 Fall 20082Interactive Programsinput! Classic view of computer pro
Cornell - CS - 2110
Introduction to Graphical User Interfaces (GUIs)Lecture 10 CS2110 Fall 2008Announcements A3 is up, due Friday, Oct 10 Prelim 1 scheduled for Oct 16 if you have a conflict, let us know now2Interactive Programsinput Classic view of computer programs
Cornell - CS - 2110
GUI Statics and GUI Dynamics GUI Dynamics! Statics: what's drawn on the screen&quot; Components# buttons, labels, lists, sliders, menus, .! Dynamics: user interactions&quot; Events# button-press, mouse-click, keypress, .&quot; Containers: components that contain
Cornell - CS - 2110
GUI DynamicsLecture 11 CS2110 Fall 2008GUI Statics and GUI Dynamics Statics: whats drawn on the screen Components buttons, labels, lists, sliders, menus, . Dynamics: user interactions Events button-press, mouse-click, keypress, . Containers: comp
Cornell - CS - 2110
Announcements! Prelim 1&quot; Thursday, October 16, 7:30 - 9pm, Uris Auditorium &quot; Topics# all material up to (but not including) searching and sorting (this weeks topics) # including interfaces &amp; inheritance! Prelim 1 review sessions&quot; Wednesday 10/15, 7:3
Cornell - CS - 2110
Searching, Sorting, and Asymptotic ComplexityLecture 12 CS2110 Fall 2008Announcements Prelim 1 Thursday, October 16, 7:30 - 9pm, Uris Auditorium Topics all material up to (but not including) searching and sorting (this weeks topics) including interfa
Cornell - CS - 2110
Generic Types in Java 5 Generic Types and the Java Collections FrameworkLecture 14 CS2110 Fall 2008! When using a collection (e.g.,LinkedList, HashSet, HashMap), we generally have asingle type T of elements that we store in it (e.g., Integer, String)
Cornell - CS - 2110
Generic Types and the Java Collections FrameworkLecture 14 CS2110 Fall 2008Generic Types in Java 5 When using a collection (e.g.,LinkedList, HashSet, HashMap), we generally have asingle type T of elements that we store in it (e.g., Integer, String) B
Cornell - CS - 2110
Designing, Coding, and DocumentingAnnouncements! A4 is up, due Sunday November 9&quot; more difficult than the previous assignments# more code # distributed client/server app # lots of concurrencyLecture 15 CS2110 Fall 20082Quiz 2 What value is printed?
Cornell - CS - 2110
Designing, Coding, and DocumentingLecture 15 CS2110 Fall 2008Announcements A4 is up, due Sunday November 9 more difficult than the previous assignments more code distributed client/server app lots of concurrency2Quiz 2 What value is printed?class
Cornell - CS - 2110
Abstract Data Types (ADTs)! A method for achieving abstraction for data structures and algorithms ! ADT = model + operations ! Describes what each operation does, but not how it does it ! An ADT is independent of its implementation ! In Java, an interfac
Cornell - CS - 2110
Standard ADTsLecture 16 CS2110 Fall 2008Abstract Data Types (ADTs) A method for achieving abstraction for data structures and algorithms ADT = model + operations Describes what each operation does, but not how it does it An ADT is independent of its im
Cornell - CS - 2110
AnnouncementsPriority Queues and Heaps Some changes to the CS major to be announced soon 2111 no longer required for new majorsLecture 17 CS2110 Fall 2008 A&amp;S and Engr students may drop 2111 until Nov 14 without transcript annotation If this affects y
Cornell - CS - 2110
Priority Queues and HeapsLecture 17 CS2110 Fall 2008Announcements Some changes to the CS major to be announced soon 2111 no longer required for new majors A&amp;S and Engr students may drop 2111 until Nov 14 without transcript annotation If this affects yo
Cornell - CS - 2110
Announcements! Prelim 2&quot; Tuesday, Nov 18, 7:30-9pm &quot; Uris Auditorium! Exam conflicts&quot; Email Kelly Patwell ASAP! Old exams are available for review on the course websiteGraphsLecture 18 CS2110 Fall 20082These are not Graphs90.00 71.88 53.75 35.63
Cornell - CS - 2110
GraphsLecture 18 CS2110 Fall 2008Announcements Prelim 2 Tuesday, Nov 18, 7:30-9pm Uris Auditorium Exam conflicts Email Kelly Patwell ASAP Old exams are available for review on the course website2These are not GraphsEast West North.not the kind
Cornell - CS - 2110
More GraphsLecture 19 CS2110 Fall 2008Representations of Graphs1 2 4 3Adjacency List1 2 3 4 2 3 2 3 4Adjacency Matrix1 1 2 3 4 0 0 0 0 2 1 0 0 1 3 0 1 0 1 4 1 0 0 0Adjacency Matrix or Adjacency List?n = number of vertices m = number of edges d(u)
Cornell - CS - 2110
Prelim 2 ReminderThreads and Concurrency! Prelim 2&quot; Tuesday 18 Nov, 7:30-9pm &quot; Uris Auditorium &quot; One week from today! &quot; Topics: all material up to and including this week's lectures &quot; Includes graphs! Prelim 2 Review Session&quot; Sunday 4/15,1:30-3pm &quot; U
Cornell - CS - 2110
Threads and ConcurrencyLecture 20 CS2110 Fall 2008Prelim 2 Reminder Prelim 2 Tuesday 18 Nov, 7:30-9pm Uris Auditorium One week from today! Topics: all material up to and including this week's lectures Includes graphs Prelim 2 Review Session Sunday 4
Cornell - CS - 2110
Announcements Course Review &amp; A Few Unanswered QuestionsLecture 25 CS2110 Fall 2008 ! Final Exam&quot; Thursday, Dec 18 &quot; 2 - 4:30pm &quot; Uris Auditorium! For exam conflicts:&quot; Notify Kelly Patwell today &quot; You must provide# Your entire exam schedule # Include
Cornell - CS - 2110
Course Review &amp; A Few Unanswered QuestionsLecture 25 CS2110 Fall 2008Announcements Final Exam Thursday, Dec 18 2 - 4:30pm Uris Auditorium For exam conflicts: Notify Kelly Patwell today You must provide Your entire exam schedule Include the course n
Cornell - ECE - 4130
ECE426Spring 2008APPLICATION OF SIGNAL PROCESSINGCOURSE ANNOUNCEMENTS Course and Title: ECE426, Applications of Signal Processing Instructor: TA: Webpage: B. Hutchins, Rm 218 Phillips, 255-4075, hutchins@ece.cornell.edu TBA http:/blackboard.cornell.edu
Cornell - ECE - 4130
1-2FundamentalConceptsChap. 14. In a medical test for a certain molecule, the concentration in the blood is reported as 123 mcg/dL. What is the concentration in proper 81 notation?Solution:123 mcg/dL = 10-3io-2 g/10-1 L = 1.23 X 10-6 g/L = 1.23 p,g/
Cornell - ECE - 4130
1-38. Show by argument that the reciprocal of Avogadro's constant is the gram equivalent of 1 atomic mass unit.Solution:By definition one gram atomic weight of 12C is 12 gfmol. Thus the mass of one atom of 12CisM r~C) = Na12g/mol = &quot;12 g/atom. atoms/m
Cornell - ECE - 4130
1-4FundamentalConceptsChap. 112. Dry air at normal temperature and pressurehas a mass density of 0.0012 gj cm3 with a mass fraction of oxygenof 0.23. What is the atom density (atomjcm3) of 180? Solution: From Eq. (1.5), the atom density of oxygen isN
Cornell - ECE - 4130
1-5 (b) The volumeV of the uraniumis V = Mu/pu = (4000 )/(19.2 g/cm3) = g 208.3 m3. Hence he atomdensities re c t a Ns = ~AsVMaNa= (791.9 )(6.022x 1023 toms/mol) = 9.740 X 1021 cm-3 g a(235 g/mol)(208.3 cm3) (3208g)(6.022 x 1023atoms/mol) = 3.896 X 10
Cornell - ECE - 4130
1-6FundamentalConceptsChap. 116. A concrete with a density of 2.35 gfcm3 has a hydrogen content of 0.0085 weight fraction. What is the atom density of hydrogen in the concrete?Solution:From Eq. (1.5), the atom density of hydrogen is (0.0085)(2.35g/c
Cornell - ECE - 4130
PROBLEMSAn acceleratorincreasesthe total energy of electronsuniformly to 10 GeV over a 3000m path. That meansthat at 30 m, 300m, and 3000m, the kinetic energy is 108,109, and 1010 V, respectively. At eachof these distances,compute the e velocity, relativ
Cornell - ECE - 4130
2-3 3. In fission reactors one deals with neutrons having kinetic energiesas high as 10 MeV. How much error is incurred in computing the speed of 10-MeV neutrons by using the classical expressionrather than the relativistic expression for kinetic energy?
Cornell - ECE - 4130
2-4Modern Physics ConceptsChap. 25. In the Relativistic Heavy Ion Collider, nuclei of gold are acceleratedto speeds of 99.95% the speed of light. These nuclei are almost spherical when at rest; however, as they move past the experimenters they appear c
Cornell - ECE - 4130
2-6Modern Physics ConceptsChap. 2A 1 MeV photon is Compton scattered at an angle of 55 degrees. Calculate (a) the energy of the scattered photon, (b) the change in wavelength, and (c) the recoil energy of the electron. Solution:(a) FromEq. (2.26)1 .1
Cornell - ECE - 4130
2-8Modern Physics ConceptsChap. 212. What are the wavelengthsof electrons with kinetic energiesof (a) 10 eV, (b) 1000eV, and (c) 107 eV? Solution: From Eq. (2.17) p = (1/c)~T2 + 2Tmoc2 and using the de Broglie relation&gt;. = hip we obtain the de Broglie
Cornell - ECE - 4130
3-3 Using the liquid drop model, tabulate the nuclear binding energy and the various contributions to the binding energy for the nuclei 40Caand 2o8Pb. Solution: A BASIC program is used to evaluate the terms in text Eq. (3.16). A program listing and result
Cornell - ECE - 4130
3-6~tomic/Nuclear ModelsChap.3In radioactive beta decay,the number of nucleonsA remains constant although the individual number of neutrons and protons change. Members of a such beta-decay chain are isobars with nearly equal masses.Using the atomic mas
Cornell - ECE - 4130
PROBLEMS1. Complete the following nuclear reactionsbasedon the conservationof nucleons:(a) 2~U+ An -+ (7) (b) l~N + An -+ (7) + lH (c) 2~Ra -+ (7) + ~He (d) (7) -+ 2~gTh + ~HeSolution: (a) 2~U An -+ 2:~U + (b) l~N + An -+ l:C + IH (c) 2~Ra-+ 2llRn + ~H
Cornell - ECE - 4130
4-3A nuclear scientist attempts to perform experiments on the stable nuclide ~Fe. Determine the energy (in Me V) the scientist will need to 1. remove a single neutron. 2. remove a single proton. 3. completely dismantle the nucleus into its individual nuc
Cornell - ECE - 4130
4-4Nuclear EnergeticsChap. 47. What is the Q-value (in MeV) for eachof the following possible nuclear reactions? Which are exothermic and which are endothermic? 19B+ 'Y 9B + 0 In 51 9 IP + 4Be -+~Be+ Ip ~Be+ ~H ~Be+ iH ~Li + ~HeSolution:Consider th
Cornell - ECE - 4130
4-59. What is the net energy released (in MeV) for each of the following fusion reactions? (a) ~H + ~H -+ ~He+ Anand (b) ~H+ iH -+ ~He+ AnSolution:(a) The energy releasedis the Q-value of the reactions.Q = cfw_2M(~H) -M(~He) -mn C2= cfw_2 x 2.0141018
Cornell - ECE - 4130
5-3 2. The radioisotope 224Ra ecaysby a emission primarily to the ground state of d 220Rn (94% probability) and to the first excited state 0.241 MeV above the ground state (5.5% probability). What are the energiesof the two associated a particles? .Solut
Cornell - ECE - 4130
5-5The averagelifetime is-1t = &quot;X= 1.86 X 10 y.9From Fig. 5.5, the probability of /3+ decayis 0.8984+ 0.00006 = 0.8990. Thus the decay constant for positron decayis&gt;'cfw_J+ = 0.8990 x&gt;. = 0.2395 y-l,From Fig. 5.5, the probability of electron captur
Cornell - ECE - 4130
5-6RadioactivityChap. 5(b) Tl/2 = In 2/&gt;&quot; = 1.18 X 106 S = 326.5 h = 13.6 d = 1.94 wk. (c) t = 1/&gt;&quot; = 1.69 X 106 S = 471 h = 19.6 d = 2.80 wk.8. The isotope 1321 ecays by /3- emissionto 132Xe ith a half-life of 2.3 h. (a) d w How long will it take for
Cornell - ECE - 4130
5-7 10. How many atoms are there in a 1.20 MBq sourceof (a) 24Naand (b) 238U?Solution:BecauseA =&gt;'N we have N(atoms) = A(Bq)j&gt;.(s-l). (a) For 24Na we find from Table A.4 that Tl/2 = 14.96 h = 5.385 X 104s. Then&gt;. = In2/TI/2 = 1.287x 10-5 s-1 Thus the nu
Cornell - ECE - 4130
5-8RadioactivityChap. 512. A 6.2 mg sample of gOSr(half-life 29.12 y) is in secular equilibrium with its daughter gOy(half-life 64.0 h). (a) How many Bq of gOSr re present? (b) How a many Bq of gOy are present? (c) What is the massof gOypresent? (d) Wh
Cornell - ECE - 4130
5-1318. The averagemass of potassium in the human body is about 140 g. From the abundance and half-life of 40K (seeTable 5.2), estimate the average activity (Bq) of 40K in the body.Solution:From Table 5.2, the atomic abundance of40K is 140= 0.000117. T
Cornell - ECE - 4130
5-14RadioactivityChap. 520. Charcoal found in a deep layer of sedimentin a caveis found to have an atomic 14Cj12Cratio only 30% that of a charcoal sample from a higher level with a known age of 1850y. What is the age of the deeperlayer? Solution: Let R
Cornell - ECE - 4130
BinaryNuclearReactionsPROBLEMS1. A 2-MeV neutron is scattered elastically by 12Cthrough an angle of 45 degrees. What is the scattered neutron's energy?Solution:From Eq. (6.25)E' = ~(A + 1)2cfw_JEcos(s + VE(A2 -1 + COS2 2 (s)2. The first nuclear
Cornell - ECE - 4130
6-2 (c) From Eq. (6.25) 1E' = (A+1)2VEcos(s + VE(A2Binary Nuclear Reactions-Chap. 6-1 + cos2 (s) + A(A + l)Q 2.j8 cos(45)+ ./8(144 -1 + cos2(45)+ 12(13)! -4.439) 2= 3.22 MeV.Derive Eq. (6.21) from Eq. (6.11). Solution: Begin with the general resul
Cornell - ECE - 4130
6-34. For each of the following possible reactions, all of which create the compound nucleus 7Li, '7Li + n 6Li + 'Y t-.) -In + 6Li -+ 7Li* -+6He+ p 5He+ d3H+acalculate (a) the Q-value, (b) the kinematic threshold energy, and (c) the minimum kinetic en