Final exam: Tuesday, May 11, 7:30-9:30am, Coates 143
|
|
- Marian Roberts
- 5 years ago
- Views:
Transcription
1 Final exam: Tuesday, May 11, 7:30-9:30am, Coates 143 Approximately 7 questions/6 problems Approximately 50% material since last test, 50% everyting covered on Exams I-III About 50% of everyting closely based on omeworks One problem will be substantially like one of te problems from Exams I-III Office ours: Monday, May 10, 3-5pm Capter 38: on te web Username: pys10 Passwd: maxwell
2 Poto(electric)effect 1. For eac material tere is a tresold frequency of ligt: no current at lower frequencies/greater wavelengt.. Once above tis frequency te current depends on te intensity of ligt, below tis frequency it does not. 3. Te stopping voltage depends on te frequency but not intensity of ligt. Pysics (classical): some work required to rip an electron out of metal; ligt is E/M wave, intensity I~ E iger intensity larger electric field greater force everyting sould depend on intensity, not frequency/wavelengt
3 Poto(electric)effect 1. For eac material tere is a tresold frequency of ligt: no current at lower frequencies/greater wavelengt.. Once above tis frequency te current depends on te intensity of ligt, below tis frequency it does not. 3. Te stopping voltage depends on te frequency but not intensity of ligt. Pysics (new ideas): some work required to rip an electron out of metal; ligt is a collection of particles wose energy depends on frequency iger intensity more of tose particles collisions wit electrons: energy of a ligt particle ( poton ) transferred to an electron minimal frequencyminimal work needed to rip an electron stopping voltagemaximal energy of te electron
4 Poton wit energy E 0 Electron wit kinetic energy E 0 Φ Material-dependent work function Stopping potential: all kinetic energy went into potential energy just before electron reaces te contact E ev Φ 0 Potential difference V
5 V stop E 0 Φ e Linear in frequency E 0 f V stop e f Φ e Same slope for all materials: measure, find J sec Material-dependent intercept Φ e
6 Compare Compton scattering for x rays λ0pm and visible ligt λ500nm at a particular angle of scattering. Wic as te greater (a) Compton sift, (b) fractional wavelengt sift, (c) fractional energy loss, and (d) energy imparted to te electron? λ mc ( 1 cosφ) Compton sift: same for everyting λ λ E E E E E f f f c / λ c / λ c / λ λ λ + λ Xrays E c c c λ λ λ ( λ + λ) λ
7 X rays wit poton energy 56 kev are scattered from a carbon target, and te scattered rays are detected at 85 to te incident beam. (a) Wat is te Compton sift of te scattered rays? λ mc ( 1 cosφ).pm (b) Wat percentage of te initial x-ray poton energy is transferred to an electron in suc scattering? Know cange in wavelengt, need wavelengt f c / λ E 56keV λ c / E pm E E E E E f f f c / λ c / λ c / λ λ λ + λ 0.09
8 Wat is te de Broglie wavelengt of an electron wit a kinetic energy K0 ev? p m K p λ mk λ kg 0eV J s m J / ev Wat is te size of diffraction grating for tis electron to be diffracted? usually d 0. 1mm θ λ 10 6 rad d unobservable want θ 10 1 rad d 10A Interatomic spacing
9 Wat is te de Broglie wavelengt of a baseball traveling wit v90mp? p λ p mv λ s 0.15kg 40m / s 6 J m No possible diffraction
10 ligt particles I E I # particles I # potons I? Amplitude of some wave Matter waves Ψ( r, t) Probability to find particle at position r at time t Ψ( r, t) Probability density At eac time I can find my particle somewere Ψ( r, t ) dr # particles
11 Single particle wit definite energy E Ψ ( r, t) ψ ( r) e iωt ω ω π f E Just as for potons One-dimensional motion in potential U(x) d ψ ( x) 8π m + x dx [ E U ( x) ] ψ ( ) 0 Scrödinger s equation Free particle U(x)0, Ep /m d ψ ( x) 4π p + ψ ( x) 0 dx ψ ( x) Ae ikx + Be k πp / p / ikx A wave!!! λ / p Ψ( r, t) Ae + Be i( kx ωt ) i( kx ωt) Traveling rigt+ traveling left
12 Particle wit momentum p moving to te rigt Ψ( r, t) i Ae ( kx ωt), ) Ψ( r t A If you measured te momentum precisely, te particle can be found anywere in space wit equal probability Fix momentum/wavelengt, ave no idea of position: a good wave Example of Heisenberg s uncertainty principle p p p x y z x y z px x uncertainty in momentum uncertainty in position Cannot know (or measure) bot momentum and position exactly at te same time
13 An electron is moving along an x axis and tat you measure its speed to be m/s, wic can be known wit a precision of 0.50%. Wat is te minimum uncertainty wit wic you can simultaneously measure te position of te electron along te x axis? p x mv x kg m/s p x 0.005p x kg m/s x p x 11nm 1 atom ~0.1nm, so it is 110 atomic sizes A baseball is it wit te speed of 90mp, wic can be known wit a precision of 0.50%. Wat is te minimum uncertainty wit wic you can simultaneously measure te position of te baseball along te x axis? Mass of a baseball m150g. p x mvx 0.15kg 40m/s 6kg m/s p x 0.005p 0.03kg m/s x x p x m
14 Tunneling Classically: impossible to get troug Scrödinger s equation d ψ ( x) dx 8π m + x [ E U ( x) ] ψ ( ) 0 Finite transmission probability T 8π m bl e b ( U E) b Launc many electrons: some get troug, measure current
15 Seeing atoms
16 We produce a diffraction pattern on a viewing screen by means of a long narrow slit illuminated by blue ligt. Does te pattern expand away from te brigt center (te maxima and minima sift away from te center) or contract toward it if we (a) switc to yellow ligt or (b) decrease te slit widt? sinθ m mλ a λ yellow > λ blue Expand in bot cases
38. Photons and Matter Waves
38. Potons and Matter Waves Termal Radiation and Black-Body Radiation Color of a Tungsten filament as temperature increases Black Red Yellow Wite T Termal radiation : Te radiation depends on te temperature
More informationIntroduction. Learning Objectives. On completion of this chapter you will be able to:
Introduction Learning Objectives On completion of tis capter you will be able to: 1. Define Compton Effect. 2. Derive te sift in incident ligt wavelengt and Compton wavelengt. 3. Explain ow te Compton
More informationAssignment Solutions- Dual Nature. September 19
Assignment Solutions- Dual Nature September 9 03 CH 4 DUAL NATURE OF RADIATION & MATTER SOLUTIONS No. Constants used:, = 6.65 x 0-34 Js, e =.6 x 0-9 C, c = 3 x 0 8 m/s Answers Two metals A, B ave work
More informationNotes on wavefunctions II: momentum wavefunctions
Notes on wavefunctions II: momentum wavefunctions and uncertainty Te state of a particle at any time is described by a wavefunction ψ(x). Tese wavefunction must cange wit time, since we know tat particles
More informationThe Electromagnetic Spectrum. Today
Today Announcements: HW#7 is due after Spring Break on Wednesday Marc 1 t Exam # is on Tursday after Spring Break Te fourt extra credit project will be a super bonus points project. Tis extra credit can
More informationATOMIC PHYSICS PREVIOUS EAMCET QUESTIONS ENGINEERING
ATOMIC PHYSICS PREVIOUS EAMCET QUESTIONS ENGINEERING 9. Te work function of a certain metal is. J. Ten te maximum kinetic energy of potoelectrons emitted by incident radiation of wavelengt 5 A is: (9 E)
More informationDUAL NATURE OF RADIATION AND MATTER
DUAL NATURE OF RADIATION AND MATTER Important Points: 1. J.J. Tomson and Sir William Crookes studied te discarge of electricity troug gases. At about.1 mm of Hg and at ig voltage invisible streams called
More informationUNIT-1 MODERN PHYSICS
UNIT- MODERN PHYSICS Introduction to blackbody radiation spectrum: A body wic absorbs all radiation tat is incident on it is called a perfect blackbody. Wen radiation allowed to fall on suc a body, it
More informationProblem Set 4: Whither, thou turbid wave SOLUTIONS
PH 253 / LeClair Spring 2013 Problem Set 4: Witer, tou turbid wave SOLUTIONS Question zero is probably were te name of te problem set came from: Witer, tou turbid wave? It is from a Longfellow poem, Te
More informationReminder: Exam 3 Friday, July 6. The Compton Effect. General Physics (PHY 2140) Lecture questions. Show your work for credit.
General Pysics (PHY 2140) Lecture 15 Modern Pysics Cater 27 1. Quantum Pysics Te Comton Effect Potons and EM Waves Wave Proerties of Particles Wave Functions Te Uncertainty Princile Reminder: Exam 3 Friday,
More information7. QUANTUM THEORY OF THE ATOM
7. QUANTUM TEORY OF TE ATOM Solutions to Practice Problems Note on significant figures: If te final answer to a solution needs to be rounded off, it is given first wit one nonsignificant figure, and te
More informationPhysics Teach Yourself Series Topic 15: Wavelike nature of matter (Unit 4)
Pysics Teac Yourself Series Topic 15: Wavelie nature of atter (Unit 4) A: Level 14, 474 Flinders Street Melbourne VIC 3000 T: 1300 134 518 W: tss.co.au E: info@tss.co.au TSSM 2017 Page 1 of 8 Contents
More informationProblem Set 4 Solutions
University of Alabama Department of Pysics and Astronomy PH 253 / LeClair Spring 2010 Problem Set 4 Solutions 1. Group velocity of a wave. For a free relativistic quantum particle moving wit speed v, te
More informationProblem Set 3: Solutions
University of Alabama Department of Pysics and Astronomy PH 253 / LeClair Spring 2010 Problem Set 3: Solutions 1. Te energy required to break one OO bond in ozone O 3, OOO) is about 500 kj/mol. Wat is
More information2.2 WAVE AND PARTICLE DUALITY OF RADIATION
Quantum Mecanics.1 INTRODUCTION Te motion of particles wic can be observed directly or troug microscope can be explained by classical mecanics. But wen te penomena like potoelectric effect, X-rays, ultraviolet
More informationDavid J. Starling Penn State Hazleton PHYS 214
All the fifty years of conscious brooding have brought me no closer to answer the question, What are light quanta? Of course today every rascal thinks he knows the answer, but he is deluding himself. -Albert
More informationTutorial 2 (Solution) 1. An electron is confined to a one-dimensional, infinitely deep potential energy well of width L = 100 pm.
Seester 007/008 SMS0 Modern Pysics Tutorial Tutorial (). An electron is confined to a one-diensional, infinitely deep potential energy well of widt L 00 p. a) Wat is te least energy te electron can ave?
More informationLecture: Experimental Solid State Physics Today s Outline
Lecture: Experimental Solid State Pysics Today s Outline Te quantum caracter of particles : Wave-Particles dualism Heisenberg s uncertainty relation Te quantum structure of electrons in atoms Wave-particle
More informationCHAPTER 4 QUANTUM PHYSICS
CHAPTER 4 QUANTUM PHYSICS INTRODUCTION Newton s corpuscular teory of ligt fails to explain te penomena like interference, diffraction, polarization etc. Te wave teory of ligt wic was proposed by Huygen
More informationM12/4/PHYSI/HPM/ENG/TZ1/XX. Physics Higher level Paper 1. Thursday 10 May 2012 (afternoon) 1 hour INSTRUCTIONS TO CANDIDATES
M12/4/PHYSI/HPM/ENG/TZ1/XX 22126507 Pysics Higer level Paper 1 Tursday 10 May 2012 (afternoon) 1 our INSTRUCTIONS TO CANDIDATES Do not open tis examination paper until instructed to do so. Answer all te
More informationChapter 1 Functions and Graphs. Section 1.5 = = = 4. Check Point Exercises The slope of the line y = 3x+ 1 is 3.
Capter Functions and Graps Section. Ceck Point Exercises. Te slope of te line y x+ is. y y m( x x y ( x ( y ( x+ point-slope y x+ 6 y x+ slope-intercept. a. Write te equation in slope-intercept form: x+
More informationTest on Nuclear Physics
Test on Nuclear Pysics Examination Time - 40 minutes Answer all questions in te spaces provided Tis wole test involves an imaginary element called Bedlum wic as te isotope notation sown below: 47 11 Bd
More informationUniversity of Alabama Department of Physics and Astronomy PH 101 LeClair Summer Exam 1 Solutions
University of Alabama Department of Pysics and Astronomy PH 101 LeClair Summer 2011 Exam 1 Solutions 1. A motorcycle is following a car tat is traveling at constant speed on a straigt igway. Initially,
More informationChapter 38. Photons and Matter Waves
Chapter 38 Photons and Matter Waves The sub-atomic world behaves very differently from the world of our ordinary experiences. Quantum physics deals with this strange world and has successfully answered
More informationQUESTIONS ) Of the following the graph which represents the variation of Energy (E) of the photon with the wavelength (λ) is E E 1) 2) 3) 4)
CET II PUC: PHYSICS: ATOMIC PHYSICS INTRODUCTION TO ATOMIC PHYSICS, PHOTOELECTRIC EFFECT DUAL NATURE OF MATTER, BOHR S ATOM MODEL SCATTERING OF LIGHT and LASERS QUESTIONS ) Wic of te following statements
More informationDual Nature of matter and radiation: m v 1 c
Dual Nature of matter and radiation: Potons: Electromagnetic radiation travels in space in te form discrete packets of energy called potons. Tese potons travel in straigt line wit te speed of ligt. Important
More informationPreview from Notesale.co.uk Page 2 of 42
1 PHYSICAL CHEMISTRY Dalton (1805) Tomson (1896) - Positive and negative carges Ruterford (1909) - Te Nucleus Bor (1913) - Energy levels Atomic Model : Timeline CATHODE RAYS THE DISCOVERY OF ELECTRON Scrödinger
More informationEverything comes unglued
Blackbody Radiation Potoelectric Effect Wave-Particle Duality SPH4U Everyting comes unglued Te predictions of classical pysics (Newton s laws and Maxwell s equations) are sometimes completely, utterly
More informationLecture 10 - Chapter. 4 Wave & Particles II
Announcement Course webpage ttp://igenergy.pys.ttu.edu/~slee/40/ Textbook PHYS-40 Lecture 0 HW3 will be announced on Tuesday Feb. 9, 05 Outline: Lecture 0 - Capter. 4 Wave & Particles II Matter beaving
More informationnucleus orbital electron wave 2/27/2008 Quantum ( F.Robilliard) 1
r nucleus orbital electron wave λ /7/008 Quantum ( F.Robilliard) 1 Wat is a Quantum? A quantum is a discrete amount of some quantity. For example, an atom is a mass quantum of a cemical element te mass
More informationA = h w (1) Error Analysis Physics 141
Introduction In all brances of pysical science and engineering one deals constantly wit numbers wic results more or less directly from experimental observations. Experimental observations always ave inaccuracies.
More informationExam 1 Review Solutions
Exam Review Solutions Please also review te old quizzes, and be sure tat you understand te omework problems. General notes: () Always give an algebraic reason for your answer (graps are not sufficient),
More information6.4: THE WAVE BEHAVIOR OF MATTER
6.4: THE WAVE BEHAVIOR OF MATTER SKILLS TO DEVELOP To understand te wave particle duality of matter. Einstein s potons of ligt were individual packets of energy aving many of te caracteristics of particles.
More informationNumerical Differentiation
Numerical Differentiation Finite Difference Formulas for te first derivative (Using Taylor Expansion tecnique) (section 8.3.) Suppose tat f() = g() is a function of te variable, and tat as 0 te function
More informationf a h f a h h lim lim
Te Derivative Te derivative of a function f at a (denoted f a) is f a if tis it exists. An alternative way of defining f a is f a x a fa fa fx fa x a Note tat te tangent line to te grap of f at te point
More informationSIMG Solution Set #5
SIMG-303-0033 Solution Set #5. Describe completely te state of polarization of eac of te following waves: (a) E [z,t] =ˆxE 0 cos [k 0 z ω 0 t] ŷe 0 cos [k 0 z ω 0 t] Bot components are traveling down te
More informationChemistry. Slide 1 / 63 Slide 2 / 63. Slide 4 / 63. Slide 3 / 63. Slide 6 / 63. Slide 5 / 63. Optional Review Light and Matter.
Slide 1 / 63 Slide 2 / 63 emistry Optional Review Ligt and Matter 2015-10-27 www.njctl.org Slide 3 / 63 Slide 4 / 63 Ligt and Sound Ligt and Sound In 1905 Einstein derived an equation relating mass and
More informationAnalysis: The speed of the proton is much less than light speed, so we can use the
Section 1.3: Wave Proerties of Classical Particles Tutorial 1 Practice, age 634 1. Given: 1.8! 10 "5 kg # m/s; 6.63! 10 "34 J #s Analysis: Use te de Broglie relation, λ. Solution:! 6.63 " 10#34 kg $ m
More informationPearson Physics Level 30 Unit VII Electromagnetic Radiation: Unit VII Review Solutions
Pearson Pysics Level 30 Unit VII Electromagnetic Radiation: Unit VII Review Solutions Student Book pages 746 749 Vocabulary 1. angle of diffraction: te angle formed between te perpendicular bisector and
More informationContinuity and Differentiability Worksheet
Continuity and Differentiability Workseet (Be sure tat you can also do te grapical eercises from te tet- Tese were not included below! Typical problems are like problems -3, p. 6; -3, p. 7; 33-34, p. 7;
More informationPhysics 102: Lecture 23
Physics 102: Lecture 23 De Broglie Waves & Compton Scattering Physics 102: Lecture 23, Slide 1 Early Indications of Problems with Classical Physics Blackbody radiation Photoelectric effect Wave-particle
More informationThe structure of the atoms
Te structure of te atoms Atomos = indivisible University of Pécs, Medical Scool, Dept. Biopysics All tat exists are atoms and empty space; everyting else is merely tougt to exist. Democritus, 415 B.C.
More informationThe Photoelectric Effect
Stellar Astrophysics: The Interaction of Light and Matter The Photoelectric Effect Methods of electron emission Thermionic emission: Application of heat allows electrons to gain enough energy to escape
More informationLecture 8: Wave-Particle Duality. Lecture 8, p 2
We choose to examine a phenomenon which is impossible, absolutely impossible, to explain in any classical way, and which has in it the heart of quantum mechanics. In reality, it contains the only mystery.
More informationPhysics 102: Lecture 23
Physics 102: Lecture 23 De Broglie Waves & Compton Scattering Place exam revisions in box at front of room either now or at end of lecture Physics 102: Lecture 23, Slide 1 Exam 3 Monday April 21! Material
More informationPolynomial Functions. Linear Functions. Precalculus: Linear and Quadratic Functions
Concepts: definition of polynomial functions, linear functions tree representations), transformation of y = x to get y = mx + b, quadratic functions axis of symmetry, vertex, x-intercepts), transformations
More informationAPPENDIXES. Let the following constants be established for those using the active Mathcad
3 APPENDIXES Let te following constants be establised for tose using te active Matcad form of tis book: m.. e 9.09389700 0 3 kg Electron rest mass. q.. o.6077330 0 9 coul Electron quantum carge. µ... o.5663706
More information( ) ! = = = = = = = 0. ev nm. h h hc 5-4. (from Equation 5-2) (a) For an electron:! = = 0. % & (b) For a proton: (c) For an alpha particle:
5-3. ( c) 1 ( 140eV nm) (. )(. ) Ek = evo = = V 940 o = = V 5 m mc e 5 11 10 ev 0 04nm 5-4. c = = = mek mc Ek (from Equation 5-) 140eV nm (a) For an electron: = = 0. 0183nm ( )( 0 511 10 )( 4 5 10 3 )
More informationLesson 6: The Derivative
Lesson 6: Te Derivative Def. A difference quotient for a function as te form f(x + ) f(x) (x + ) x f(x + x) f(x) (x + x) x f(a + ) f(a) (a + ) a Notice tat a difference quotient always as te form of cange
More informationModel Question Paper ENGINEERING PHYSICS (14PHY12/14PHY22) Note: Answer any FIVE full questions, choosing one full question from each module.
Model Question Paper ENGINEERING PHYSICS (14PHY1/14PHY) Time: 3 hrs. Max. Marks: 100 Note: Answer any FIVE full questions, choosing one full question from each module. MODULE 1 1) a. Explain in brief Compton
More informationThe Electron in a Potential
Te Electron in a Potential Edwin F. Taylor July, 2000 1. Stopwatc rotation for an electron in a potential For a poton we found tat te and of te quantum stopwatc rotates wit frequency f given by te equation:
More informationCHAPTER 39. Answer to Checkpoint Questions
CHAPTR 39 PHOTONS AND MATTR WAVS 059 CHAPTR 39 Answer to Ceckoint Questions. (b), (a), (d), (c). (a) litium, sodium, otassium, cesium; (b) all tie 3. (a) same; (b) { (d) x rays 4. (a) roton; (b) same;
More information3 Minority carrier profiles (the hyperbolic functions) Consider a
Microelectronic Devices and Circuits October 9, 013 - Homework #3 Due Nov 9, 013 1 Te pn junction Consider an abrupt Si pn + junction tat as 10 15 acceptors cm -3 on te p-side and 10 19 donors on te n-side.
More informationMVT and Rolle s Theorem
AP Calculus CHAPTER 4 WORKSHEET APPLICATIONS OF DIFFERENTIATION MVT and Rolle s Teorem Name Seat # Date UNLESS INDICATED, DO NOT USE YOUR CALCULATOR FOR ANY OF THESE QUESTIONS In problems 1 and, state
More informationThe derivative function
Roberto s Notes on Differential Calculus Capter : Definition of derivative Section Te derivative function Wat you need to know already: f is at a point on its grap and ow to compute it. Wat te derivative
More informationThe total error in numerical differentiation
AMS 147 Computational Metods and Applications Lecture 08 Copyrigt by Hongyun Wang, UCSC Recap: Loss of accuracy due to numerical cancellation A B 3, 3 ~10 16 In calculating te difference between A and
More informationCHAPTER 7 QUANTUM THEORY AND ATOMIC STRUCTURE
CHAPTER 7 QUANTUM THEORY AND ATOMIC STRUCTURE Te value for te speed of ligt will be 3.00x0 8 m/s except wen more significant figures are necessary, in wic cases,.9979x0 8 m/s will be used. TOOLS OF THE
More informationPhysics 121, April 1, Equilibrium. Physics 121. April 1, Physics 121. April 1, Course Information. Discussion of Exam # 2
Pysics 121, April 1, 2008. Pysics 121. April 1, 2008. Course Information Discussion of Exam # 2 Topics to be discussed today: Requirements for Equilibrium Gravitational Equilibrium Sample problems Pysics
More informationKrazy Katt, the mechanical cat
Krazy Katt, te mecanical cat Te cat rigting relex is a cat's innate ability to orient itsel as it alls in order to land on its eet. Te rigting relex begins to appear at 3 4 weeks o age, and is perected
More information1. Consider the trigonometric function f(t) whose graph is shown below. Write down a possible formula for f(t).
. Consider te trigonometric function f(t) wose grap is sown below. Write down a possible formula for f(t). Tis function appears to be an odd, periodic function tat as been sifted upwards, so we will use
More informationDept. of Physics, MIT Manipal 1
Chapter 1: Optics 1. In the phenomenon of interference, there is A Annihilation of light energy B Addition of energy C Redistribution energy D Creation of energy 2. Interference fringes are obtained using
More informationTHE WAVE NATURE OF PARTICLES
THE WAVE NATURE OF PARTICLES 39 39 IDENTIFY and SET UP: λ = = mv For an electron, 3 7 m = 9 kg For a roton, m = 67 kg EXECUTE: (a) 663 J s 3 6 (9 kg)(47 /s) λ = = = 55 55 nm (b) λ is roortional to 3 m,
More information2016 PRELIM 2 PAPER 2 MARK SCHEME
06 River Valley Hig Scool Prelim Paper Mark Sceme 06 PRELIM PAPER MARK SCHEME (a) V 5.00 X 85. 9V 3 I.7 0 X V I X V I X 0.03 0. 85.9 5.00.7 X 48.3 00 X X 900 00 [A0] Anomalous data can be identified. Systematic
More informationMath 102 TEST CHAPTERS 3 & 4 Solutions & Comments Fall 2006
Mat 102 TEST CHAPTERS 3 & 4 Solutions & Comments Fall 2006 f(x+) f(x) 10 1. For f(x) = x 2 + 2x 5, find ))))))))) and simplify completely. NOTE: **f(x+) is NOT f(x)+! f(x+) f(x) (x+) 2 + 2(x+) 5 ( x 2
More information1watt=1W=1kg m 2 /s 3
Appendix A Matematics Appendix A.1 Units To measure a pysical quantity, you need a standard. Eac pysical quantity as certain units. A unit is just a standard we use to compare, e.g. a ruler. In tis laboratory
More informationGeneral Physics (PHY 2140) Lecture 15
General Physics (PHY 2140) Lecture 15 Modern Physics Chapter 27 1. Quantum Physics The Compton Effect Photons and EM Waves Wave Properties of Particles Wave Functions The Uncertainty Principle http://www.physics.wayne.edu/~alan/2140website/main.htm
More informationWe name Functions f (x) or g(x) etc.
Section 2 1B: Function Notation Bot of te equations y 2x +1 and y 3x 2 are functions. It is common to ave two or more functions in terms of x in te same problem. If I ask you wat is te value for y if x
More informationChapter 10: Wave Properties of Particles
Chapter 10: Wave Properties of Particles Particles such as electrons may demonstrate wave properties under certain conditions. The electron microscope uses these properties to produce magnified images
More informationLecture 15 Notes: 07 / 26. The photoelectric effect and the particle nature of light
Lecture 15 Notes: 07 / 26 The photoelectric effect and the particle nature of light When diffraction of light was discovered, it was assumed that light was purely a wave phenomenon, since waves, but not
More informationDO NOT OPEN THIS EXAM UNTIL TOLD TO DO SO.
Exam 4.00 COMPREHENSIVE EXAM 7 May 2003 General Pysics II (PHSX 2020) Adam Jonston DO NOT OPEN THIS EXAM UNTIL TOLD TO DO SO. MAKE SURE TO PUT YOUR NAME AND SEAT NUMBER ON THE FIRST PAGE OF THE EXAM BEFORE
More informationConductance from Transmission Probability
Conductance rom Transmission Probability Kelly Ceung Department o Pysics & Astronomy University o Britis Columbia Vancouver, BC. Canada, V6T1Z1 (Dated: November 5, 005). ntroduction For large conductors,
More informationPreface. Here are a couple of warnings to my students who may be here to get a copy of what happened on a day that you missed.
Preface Here are my online notes for my course tat I teac ere at Lamar University. Despite te fact tat tese are my class notes, tey sould be accessible to anyone wanting to learn or needing a refreser
More informationPhysics 111 Homework Solutions Week #9 - Friday
Physics 111 Homework Solutions Week #9 - Friday Tuesday, March 1, 2011 Chapter 24 Questions 246 The Compton shift in wavelength for the proton and the electron are given by Δλ p = h ( 1 cosφ) and Δλ e
More informationConsider a function f we ll specify which assumptions we need to make about it in a minute. Let us reformulate the integral. 1 f(x) dx.
Capter 2 Integrals as sums and derivatives as differences We now switc to te simplest metods for integrating or differentiating a function from its function samples. A careful study of Taylor expansions
More informationParticles and Waves Particles Waves
Particles and Waves Particles Discrete and occupy space Exist in only one location at a time Position and velocity can be determined with infinite accuracy Interact by collisions, scattering. Waves Extended,
More informationThe Doppler Factor and Quantum Electrodynamics Basics in Laser-Driven Light Sailing
International Letters of Cemistry, Pysics and Astronomy Online: 013-10-0 ISSN: 99-3843, Vol. 19, pp 10-14 doi:10.1805/www.scipress.com/ilcpa.19.10 013 SciPress Ltd., Switzerland Te Doppler Factor and Quantum
More informationWhy gravity is not an entropic force
Wy gravity is not an entropic force San Gao Unit for History and Pilosopy of Science & Centre for Time, SOPHI, University of Sydney Email: sgao7319@uni.sydney.edu.au Te remarkable connections between gravity
More informationINTRODUCTION AND MATHEMATICAL CONCEPTS
Capter 1 INTRODUCTION ND MTHEMTICL CONCEPTS PREVIEW Tis capter introduces you to te basic matematical tools for doing pysics. You will study units and converting between units, te trigonometric relationsips
More informationCHAPTER 5 Wave Properties of Matter and Quantum Mechanics I
CHAPTER 5 Wave Properties of Matter and Quantum Mechanics I 5.1 X-Ray Scattering 5.2 De Broglie Waves 5.3 Electron Scattering 5.4 Wave Motion 5.5 Waves or Particles? 5.6 Uncertainty Principle 5.7 Probability,
More informationPhysics 116. Nov 21, Session 31 De Broglie, duality, and uncertainty. R. J. Wilkes
Physics 116 Session 31 De Broglie, duality, and uncertainty Nov 21, 2011 R. J. Wilkes Email: ph116@u.washington.edu Announcements HW 6 due today Clicker scores have been updated on Webassign gradebook
More informationNumerical evidence of ultrarefractive optics in photonic crystals
15 Marc 1999 Optics Communications 161 1999 171 176 Numerical evidence of ultrarefractive optics in potonic crystals S. Enoc 1, G. Tayeb, D. Maystre ) Laboratoire d Optique Electromagnetique, ESA 6079,
More information3.1 Extreme Values of a Function
.1 Etreme Values of a Function Section.1 Notes Page 1 One application of te derivative is finding minimum and maimum values off a grap. In precalculus we were only able to do tis wit quadratics by find
More informationGen. Phys. II Exam 4 - Chs. 27,28,29 - Wave Optics, Relativity, Quantum Physics Apr. 16, 2018
Gen. Phys. II Exam 4 - Chs. 27,28,29 - Wave Optics, Relativity, Quantum Physics Apr. 16, 2018 Rec. Time Name For full credit, make your work clear. Show formulas used, essential steps, and results with
More informationBob Brown Math 251 Calculus 1 Chapter 3, Section 1 Completed 1 CCBC Dundalk
Bob Brown Mat 251 Calculus 1 Capter 3, Section 1 Completed 1 Te Tangent Line Problem Te idea of a tangent line first arises in geometry in te context of a circle. But before we jump into a discussion of
More informationGrade: 11 International Physics Olympiad Qualifier Set: 2
Grade: 11 International Pysics Olympiad Qualifier Set: 2 --------------------------------------------------------------------------------------------------------------- Max Marks: 60 Test ID: 12111 Time
More informationSome Review Problems for First Midterm Mathematics 1300, Calculus 1
Some Review Problems for First Midterm Matematics 00, Calculus. Consider te trigonometric function f(t) wose grap is sown below. Write down a possible formula for f(t). Tis function appears to be an odd,
More information1 1. Rationalize the denominator and fully simplify the radical expression 3 3. Solution: = 1 = 3 3 = 2
MTH - Spring 04 Exam Review (Solutions) Exam : February 5t 6:00-7:0 Tis exam review contains questions similar to tose you sould expect to see on Exam. Te questions included in tis review, owever, are
More informationChapter 4 The debroglie hypothesis
Capter 4 Te debrglie yptesis In 194, te Frenc pysicist Luis de Brglie after lking deeply int te special tery f relatiity and ptn yptesis,suggested tat tere was a mre fundamental relatin between waes and
More informationMath 1241 Calculus Test 1
February 4, 2004 Name Te first nine problems count 6 points eac and te final seven count as marked. Tere are 120 points available on tis test. Multiple coice section. Circle te correct coice(s). You do
More informationPHYS 3313 Section 001 Lecture #16
PHYS 3313 Section 001 Lecture #16 Monday, Mar. 24, 2014 De Broglie Waves Bohr s Quantization Conditions Electron Scattering Wave Packets and Packet Envelops Superposition of Waves Electron Double Slit
More informationNotes: Most of the material in this chapter is taken from Young and Freedman, Chap. 12.
Capter 6. Fluid Mecanics Notes: Most of te material in tis capter is taken from Young and Freedman, Cap. 12. 6.1 Fluid Statics Fluids, i.e., substances tat can flow, are te subjects of tis capter. But
More informationA Reconsideration of Matter Waves
A Reconsideration of Matter Waves by Roger Ellman Abstract Matter waves were discovered in te early 20t century from teir wavelengt, predicted by DeBroglie, Planck's constant divided by te particle's momentum,
More informationPhy 231 Sp 02 Homework #6 Page 1 of 4
Py 231 Sp 02 Homework #6 Page 1 of 4 6-1A. Te force sown in te force-time diagram at te rigt versus time acts on a 2 kg mass. Wat is te impulse of te force on te mass from 0 to 5 sec? (a) 9 N-s (b) 6 N-s
More informationQuantum Mechanics and Atomic Theory
A. Electromagnetic Radiation Quantum Mecanics and Atomic Teory 1. Ligt: consists of waves of oscillating electric field ( E ) and magnetic field ( B ) tat are perpendicular to eac oter and to te direction
More informationQuantum Mechanics Chapter 1.5: An illustration using measurements of particle spin.
I Introduction. Quantum Mecanics Capter.5: An illustration using measurements of particle spin. Quantum mecanics is a teory of pysics tat as been very successful in explaining and predicting many pysical
More informationExponentials and Logarithms Review Part 2: Exponentials
Eponentials and Logaritms Review Part : Eponentials Notice te difference etween te functions: g( ) and f ( ) In te function g( ), te variale is te ase and te eponent is a constant. Tis is called a power
More informationKey Concepts. Important Techniques. 1. Average rate of change slope of a secant line. You will need two points ( a, the formula: to find value
AB Calculus Unit Review Key Concepts Average and Instantaneous Speed Definition of Limit Properties of Limits One-sided and Two-sided Limits Sandwic Teorem Limits as x ± End Beaviour Models Continuity
More informationPhysics 6C. De Broglie Wavelength Uncertainty Principle. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB
Pyic 6C De Broglie Wavelengt Uncertainty Principle De Broglie Wavelengt Bot ligt and atter ave bot particle and wavelike propertie. We can calculate te wavelengt of eiter wit te ae forula: p v For large
More informationMassachusetts Institute of Technology Physics 8.03 Practice Final Exam 3
Massachusetts Institute of Technology Physics 8.03 Practice Final Exam 3 Instructions Please write your solutions in the white booklets. We will not grade anything written on the exam copy. This exam is
More informationMathematics 5 Worksheet 11 Geometry, Tangency, and the Derivative
Matematics 5 Workseet 11 Geometry, Tangency, and te Derivative Problem 1. Find te equation of a line wit slope m tat intersects te point (3, 9). Solution. Te equation for a line passing troug a point (x
More information