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# ch35

Course Number: PHYS 13/14, Spring 2008

College/University: Dartmouth

Word Count: 8336

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CHAPTER Interference and Diffraction 35 1* When destructive interference occurs, what happens to the energy in the light waves? The energy is distributed nonuniformly in space; in some regions the energy is below average (destructive interference), in others it is higher than average (constructive interference). 2 Which of the following pairs of light sources are coherent: (a) two candles; (b) one point source and...

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Dartmouth - PHYS - 13/14
CHAPTER Sources of the Magnetic Field291* Compare the directions of the electric and magnetic forces between two positive charges, which move along parallel paths (a) in the same direction, and (b) in opposite directions. (a) The electric forces
Dartmouth - PHYS - 13/14
CHAPTER21Thermal Properties and Processes1* Why does the mercury level first decrease slightly when a thermometer is placed in warm water? The glass bulb warms and expands first, before the mercury warms and expands. 2 A large sheet of metal
Dartmouth - CHEM - 51
Fourth Hourly Examination Chemistry S-20July 23, 2007 8:10 9:20 a.m.Last Name: First Name: Section TF: Section Time:Important Notes:1. This exam consists of 8 problems on 8 pages, plus this cover sheet, and one page for scratch work at the end o
Dartmouth - CHEM - 51
Second Hourly Examination Chemistry S-20July 9, 2007 8:10 9:20 a.m.Last Name: First Name: Section TF: Section Time:Important Notes:1. This exam consists of 8 problems on 8 pages, plus this cover sheet, and one page for scratch work at the end o
Dartmouth - PHYS - 13
Lecture 5 Newton's 3rd Law; Gravitational Force1Review from Last Time Newton's Second Law (The Momentum Principle) Free body diagrams - in Newton's second law it is the net force that matters! FBD help us identify all the forces acting on an ob
Dartmouth - PHYS - 13
Lecture 8 Friction1Review from Last Time Tension and Compresion (normal forces) Can understand why tension force is along the string and the normal force is perpendicular to the surface if we consider all the atoms in a solid connected by sprin
Dartmouth - CHEM - 51
142Acidity of Carbonyl CompoundsCompoundO OWeek 61. All of the following compounds have acdic C-H bonds. The pKa of each compound is indicated: pKa Conjugate BaseO O OR H O O O OR H O O CHR O CH2R C CH2R R O CHR C CHR RO N C CHR CHR CHR RO H
Dartmouth - CHEM - 51
153Conjugate Additions: RetrosynthesisWeek 61. Each of the following products can be synthesized via a conjugate addition. Suggest appropriate starting materials to use in each case.a)O+CH 3NO2NaOR or NaHO2 N Ob) EtOO Ph+ EtO
Dartmouth - CHEM - 51
147Basic Aldol and Claisen MechanismsO OHWeek 61. Predict the product, and provide a curved-arrow mechanism for each of the f ollowing transformations.OLDA (0.9 equiv.)HH2COH2 O work-up78CH 2C O O H H:NR2(this is LDA)OO
Dartmouth - CHEM - 51
32Alkenes: Isomers and NomenclatureWeek 21. There are 6 unique alkene isomers of the hydrocarbon C 5 H10. Draw each of these isomers, and provide a systematic name f or each.2. For the three alkenes above which are various isomers of pentene,
Dartmouth - PHYS - 13/14
CHAPTER20The Second Law of Thermodynamics1* Where does the energy come from in an internal-combustion engine? In a steam engine? Internal combustion engine: From the heat of combustion (see Problems 19-106 to 19-109). Steam engine: From the bu
Dartmouth - PHYS - 13/14
CHAPTER Properties of Light331* Why is helium needed in a heliumneon laser? Why not just use neon? The population inversion between the state E2,Ne and the state 1.96 eV below it (see Figure 33-9) is achieved by inelastic collisions between neon
Dartmouth - PHYS - 13/14
CHAPTER22The Electric Field I: Discrete Charge Distributions1* If the sign convention for charge were changed so that the charge on the electron were positive and the charge on the proton were negative, would Coulomb's law still be written the
Dartmouth - PHYS - 13/14
CHAPTER19Heat and the First Law of Thermodynamics1* Body A has twice the mass and twice the specific heat of body B. If they are supplied with equal amounts of heat, how do the subsequent changes in their temperatures compare? M A = 2M B; cA =
Dartmouth - PHYS - 13/14
CHAPTER Maxwell's Equations and Electromagnetic Waves321* A parallel-plate capacitor in air has circular plates of radius 2.3 cm separated by 1.1 mm. Charge is flowing onto the upper plate and off the lower plate at a rate of 5 A. (a) Find the t
Dartmouth - PHYS - 13/14
CHAPTER The Magnetic Field281* When a cathode-ray tube is placed horizontally in a magnetic field that is directed vertically upward, the electrons emitted from the cathode follow one of the dashed paths to the face of the tube in Figure 28-30.
Dartmouth - PHYS - 13/14
CHAPTER27The Microscopic Theory of Electrical Conduction1* In the classical model of conduction, the electron loses energy on average in a collision because it loses the drift velocity it had picked up since the last collision. Where does this
Dartmouth - PHYS - 13/14
CHAPTER18Temperature and the Kinetic Theory of Gases1* True or false: (a) Two objects in thermal equilibrium with each other must be in thermal equilibrium with a third object. (b) The Fahrenheit and Celsius temperature scales differ only in th
Dartmouth - PHYS - 13/14
CHAPTER39Relativity1* You are standing on a corner and a friend is driving past in an automobile. Both of you note the times when the car passes two different intersections and determine from your watch readings the time that elapses between t
Dartmouth - PHYS - 13/14
CHAPTER Alternating-Current Circuits31Note: Unless otherwise indicated, the symbols I, V, E, and P denote the rms values of I, V, and E and the average power. 1* A 200-turn coil has an area of 4 cm2 and rotates in a magnetic field of 0.5 T. (a)
Dartmouth - CHEM - 51
127Acidity of Carboxylic AcidsO O OH O Cl O Cl Cl O Cl Cl Cl O OH Cl Cl O OH O Cl OH OH ClWeek 51. Match the carboxylic acids below with the list of pKa's at right. Explain your ranking.Cl Cl Cl O OH Cl O OH O0.70OH1.48OHClMore ele
Dartmouth - CHEM - 51
52ChiralityWeek 21. For each of the f ollowing species, indicate if it is chiral or achiral . For those molecules that are chiral, circle all stereocenters, and draw the structure of the enantiomer.H H3C F Cl F ClH CH3chiralHCH3H3C
Dartmouth - CHEM - 51
123More Anomeric EffectWeek 51. Each of the following observations can be explained by a frontier molecular orbital (FMO) argument. Provide such an explanation for each observation. Be sure to label the relevant donor-acceptor interactions and
Dartmouth - CHEM - 51
1Lewis StructuresWeek 11. Draw complete Lewis structures, showing all atoms and lone pairs, for the following molecules.HCH4OHH O HHC HHH BrCH3BrHC HCH3OHC HOHH C H O HHCH3CH2OHHC HCH3NH2HC HN H
Dartmouth - CHEM - 51
178Frontier Molecular Orbitals of PolyenesWeek 71. Draw a simple representation of both the HOMO and LUMO for the following:LUMO:1 node2 nodes3 nodesHOMO:0 nodes1 node2 nodes2. Draw resonance structures for the following ion:
Dartmouth - CHEM - 51
185More Mechanisms and FMO AnalysisWeek 71. Consider the following interesting transformation:O MgBr+OEtH+carbocation intermediate a) Provide a curved-arrow mechanism f or the f ormation of the carbocation intermediate.EtO OOOMg
Dartmouth - PHYS - 13
Lecture 19 Torque and Angular Momentum Principle1Review from Last Time Rotational Kinematics Angular velocity: magnitude and direction Angular acceleration: magnitude and direction2Torque What causes angular acceleration? What causes an o
Dartmouth - PHYS - 13
Lecture 4 Applications of Newton's 2nd Law1Review from Last Time Newton's First Law (Law of Inertia) Newton's Second Law (The Momentum Principle)2Problem Solving - ExamplesNewton's second law can be applied in many different situations an
Dartmouth - PHYS - 13
Lecture 21 Conservation of Angular Momentum1Review: Analogies between Linear and Rotational Motion TABLE of anaologies1.1Angular Momentum of a single particle For a single particle a distance r from the point about which it rotates (like o
Dartmouth - PHYS - 13
Lecture 23 Orbital Mechanics1Brief Review of Gravity Gravitational force In general F = where r = |r2 - r1 | is the distance between the centers of the two objects, and the minus sign indicates that the force is attractive. Near the surface of
Dartmouth - PHYS - 13/14
CHAPTER Optical Images341* Can a virtual image be photographed? Yes. Note that a virtual image is &quot;seen&quot; because the eye focuses the diverging rays to form a real image on the retina. Similarly, the camera lens can focus the diverging rays onto
Dartmouth - CHEM - 51
59CyclohexanesWeek 31. Look at a chair. Notice the axial and equatorial substituents. Pay close attention to the parallel lines!2. Draw each of the following dimethyl cyclohexanes (on the planar ring), then identify whether the substituents w
Dartmouth - CHEM - 51
71Making Alcohols into Leaving GroupsWeek 31. The OH from an alcohol is not a good leaving group. Why? OH is a very strong base and strong bases make poor leaving groups.One way of making it a good leaving group is to protonate it. This often
Dartmouth - CHEM - 51
1Lewis StructuresWeek 11. Draw complete Lewis structures, showing all atoms and lone pairs, for the following molecules.CH4OHCH3 BrCH 3OCH3 CH 2OHCH 3NH2H 2CONH 4+HCNH 3O +C 2H 2C 2H 42Formal ChargeWeek 11. Given
Dartmouth - CHEM - 51
141Acidity of Carbonyl CompoundsCompoundO OWeek 61. All of the following compounds have acdic C-H bonds. The pKa of each compound is indicated: pKa Conjugate Base11R H O RO H O H H O OR13OR20R O CH2R25RO N C CH2R CH 2R31With e
Dartmouth - CHEM - 51
Sixth Hourly Examination Chemistry S-20August 6, 2007 8:10 9:20 a.m.Last Name: First Name: Section TF: Section Time:Important Notes:1. This exam consists of 8 problems on 8 pages, plus this cover sheet, and one page for scratch work at the end o
Dartmouth - PHYS - 13
Dartmouth - PHYS - 13
Lecture 6 Mass-spring oscillation (Simple Harmonic Motion)1Review from Last Time Gravitational Force- Review depends on product of masses and one over distance squared (DRAW) direction of force - always attractive along line connecting objects
Dartmouth - CHEM - 51
165Beckmann, Curtius, and Hofmann RearrangementsWeek 61. Provide the intermediates and products for the following transformations, and write a curved-arrow mechanism for the crucial rearrangement step.OH O N H NNH2OHBeckmannOH+OH2 N N
Dartmouth - PHYS - 13
Physics 13 - Winter 2008Homework #1-Due 10:00 PM on Monday, Jan. 14, 2007PART I: Complete the &quot;p13-Homework 1&quot; assignment at www.webassign.net. This part is submitted electronically.PART II: Complete the following problems. You will be graded in
Dartmouth - CHEM - 5/6
1Chem 6 Sample Exam 1 brief answers1. a. Consider the first 2 columns. Doubling [HI] quadruples the rate, so it must be second order in HI. Note that you get the same result by considering columns 2 and 3. So the rate law must be rate = k[HI]2. b.
Dartmouth - CHEM - 51
Third Hourly Examination Chemistry S-20July 16, 2007 8:10 9:20 a.m.Last Name: First Name: Section TF: Section Time:Important Notes:1. This exam consists of 8 problems on 8 pages, plus this cover sheet, and one page for scratch work at the end o
Dartmouth - PHYS - 13
n d 6 WaYA`FWVTgABR hbAUcB 9aP)R` d Q2cU8 cWi QAb APeR B P g8EYp)G8)cXPDiA8WfaDrT6GB@GRTRhBW r`eRV`9eRW QW 9caPE`D ha`AUEWFBb6 ThRQfBP iD A8(i@ cicW8 9R WW R W P P P ` W B 8 gP R b ` b ` U W R R R b R` 8 i b `ADyAvhR9`oAPQR )G8T6GBGRTRhBhABhiG8i
Dartmouth - CHEM - 5/6
Chem 6 sample Exam 3 solutions1. (a) CO, (c) BrF3 , BBr3 , like BF3 , is trigonal planar and the B-Br bond dipoles cancel out. The same is true for trigonal bipyramidal PF5 . Linear CO has a dipole moment since C and O have different electronegativ
Dartmouth - CHEM - 5/6
Chem 6 sample exam 1 (100 points total)@ This is a closed book exam to which the Honor Principle applies. @ The last page contains several equations which may be useful; you can detach it for easy reference. @ Please write clearly and SHOW YOUR WORK
Dartmouth - PHYS - 13
Lecture 7 Introducing a Model of a Solid1Review from Last Time Hook's Law: F=-kx - this force depends on position (compression of the spring). Last time we derived the equations of motion for a mass on a spring using this expression for the for
Dartmouth - CHEM - 5/6
Sample Exam 1 solutions 1. (a) To find the reaction orders, look at the dependence of rate onconcentrations. From rows 1 and 3, cutting the [OCl] in half cuts the rate in half, so the reaction is 1st order in OCl . Similarly, from rows 2 and 3, cut
Dartmouth - CHEM - 5/6
Chem 6 Sample exam 2 (150 points total)@ This is a closed book exam to which the Honor Principle applies. @ The last page contains equations and physical constants; you can detach it for easy reference. @ Please write clearly and SHOW YOUR WORK. If
Dartmouth - CHEM - 5/6
C h e m 5, 9 Section Exam 2SolutionsWinter, 2005 February 22, 20051.(4 points each) Here are a few quick problems to get you going. (a) Imagine formic acid, HCOOH(g), decomposing into CO2(g) and H2(g) according to HCOOH(g) CO2(g) + H2(g). Th
Dartmouth - CHEM - 5/6
1Chem 6 Sample Exam 2 Brief Answers1a. Two possible approaches here to find the energy difference and hence the frequency. Either find the energy of both states and subtract, or use one of the formulas that includes the subtraction for you. E = h
Dartmouth - CHEM - 5/6
Chem 6 Sample exam 3 (final) (200 points total)@ This is a closed book exam to which the Honor Principle applies. @ The last three pages contain equations, physical constants, a periodic table and other good stuff; you can detach them for easy refer
Dartmouth - CHEM - 5/6
1Chem 6 Sample exam 3 (final) brief answers1. Because E = hc/, shortest wavelength means biggest energy. This must correspond to a transition from n = infinity to the unknown quantum number n. The energy of this transition is given by E = 2.18x101
Dartmouth - CHEM - 5/6
Sample final exam answers1. For both these compounds, the formal oxidation state is Mn(II), which is d5 . Since NCS is a weak-field, high-spin ligand (from the spectrochemical series), the electron configuration for the octahedral complex will be (
Dartmouth - CHEM - 5/6
Chem 6 sample Exam 2 solutions1. (a) (1/2)mv2 = h . Since 274 nm is the maximum wavelength that will eject electrons, E = hc/ = = (6.626x1034Js) (3x108ms1)/(274 nm) (1m/109 nm) = 7.25x1019J Convert to kJ/mol (7.25x1019J) (1kJ/1000J) (6.02x1023/mo
Dartmouth - CHEM - 5/6
C h e m 5, 9 Section Exam 1SolutionsWinter, 2005 January 27, 20051.(10 + 5 points) In preparation for a study of the equilibrium constant for the reaction 2 NO2(g) N2O4(g) you take an 8.6 g frozen sample of pure N2O4(s) and place it in an o
Dartmouth - CHEM - 5/6
Chem 6 sample final exam (200 points total)@ This is a closed book exam to which the Honor Principle applies. @ The last 3 pages contain equations, physical constants, and the periodic table. You can detach them for easy reference. @ Please write cl
Dartmouth - CHEM - 5/6
Chem 5Winter 2005Exam 2 Study GuideHere are the central topics for the second exam. If you understand this material well and understand the problems on the past several problem sets, you'll do well on the exam!Chapter 7: Acids and Bases Can yo
Dartmouth - CHEM - 5/6
Chem 5Practice Exam 1 (with solutions)Winter 2005These are typical problems from past Chem 5 exams I have given. Note that your exam will include a Periodic Table (with atomic numbers and masses), values of important constants, and a list of us
Dartmouth - CHEM - 5/6
Chem 5Winter, 2005Practice Second Exam (the actual second exam last year) 1. (5 points each) Here are a few quick problems to get you going. (a) What is the pH of a saturated solution of Ca(OH)2, for which Ksp = 1.3 106? Let the equilibrium conc
Dartmouth - PHYS - 13/14
CHAPTER16Superposition and Standing Waves1* True or false: (a) The waves from two coherent sources that are radiating in phase interfere constructively everywhere in space. (b) Two wave sources that are out of phase by 180o are incoherent. (c)
Dartmouth - CHEM - 51
177Frontier Molecular Orbitals of PolyenesWeek 71. Draw a simple representation of both the HOMO and LUMO for the following:LUMO:HOMO:2. Draw resonance structures for the following ion:Now construct the complete molecular orbitals. Ide