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# solutions 03

Course Number: PHY 251, Spring 2001

College/University: SUNY Stony Brook

Word Count: 930

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phy251_hw03 PHY251 Homework Set 3 Reading: Chapter 4 Homework: Chapter 4, Questions 3,5,7 Problems 2,8,13,16,32 Hints and Solutions Note: SHOW ALL WORK! Question IV.3 How would you estimate the temperature of a red-hot piece of steel, given that the wavelength of red light is in the neighborhood of 700 nm? What assumption would you have to make for your estimate? Hints: How do you know that the red wavelength is...

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SUNY Stony Brook - PHY - 251
phy251_hw04PHY251 Homework Set 4Reading: Chapter 5 Homework: Chapter 5, Questions 1,3,4 Problems 6,8,9,16,18Hints and SolutionsQuestion V.1 In studying the Bohr model in this chapter, we ignored special relativity. Why, then, does the speed of
SUNY Stony Brook - PHY - 251
phy251_hw05PHY251 Homework Set 5Reading: Chapter 4 and 5 Homework: Chapter 4, Questions 2,4 Problems 4,5,6,7 Chapter 5, Problems 2,22Hints and SolutionsQuestion IV.2 If you peer through a small hole in a very hot oven, you see a glow that clear
SUNY Stony Brook - PHY - 251
phy251_hw06PHY251 Homework Set 6Reading: Chapter 6 and 7 Homework: Chapter 6, Question 9 Problems 2, 9,18 Chapter 7, Problems 16,20Hints and SolutionsQuestion VI.9 Suppose you have a box a few centimeters wide and an electron with the energy of
SUNY Stony Brook - PHY - 251
phy251_hw07_solutionsPHY251 Homework Set 7Reading: Chapter 8 Homework: Chapter 8, Question 1,4 Problems 1,6Hints and SolutionsQuestion VIII.1 (10 points) In the wavefunction that describes a particle colliding with a barrier in one dimension we
SUNY Stony Brook - PHY - 251
phy251_hw08_solutionsPHY251 Homework Set 8Reading: Chapter 9 Homework: Chapter 9, Question 2, Problems 11,14,15,19; (extra credit: 23)Hints and SolutionsQuestion IX.2 (10 points) In the quantum theory it is generally not possible to specify all
SUNY Stony Brook - PHY - 251
phy251_hw09_solutionsPHY251 Homework Set 9Reading: Chapter 10, with exception of Sections 10-5 and 10-6 Homework: Chapter 10, Question 4, Problems 1,3,5,6,7,11Hints and SolutionsQuestion X.4 (10 points) According to the exclusion principle, in
SUNY Stony Brook - PHY - 251
sPHY251 Homework Set 10Reading: Chapter 11, 12 Homework: Chapter 11, Question 1, Problems 2,5,11,14 Chapter 12, Problems 7,23,31Hints and SolutionsQuestion XI.1 (10 points) One of the great puzzles in heredity before the quantum theory of molec
SUNY Stony Brook - PHY - 251
phy251_hw11PHY251 Homework Set 11Reading: Chapter 12, 14 (all sections except 6) Homework: Chapter 12, Problems 32, Chapter 14, Problems 2, 6(Li, Al, Cu only!),9(Li, Al, Cu only!),10,17,18,31Hints and SolutionsProblem XII.32 (15 points) Conside
SUNY Stony Brook - PHY - 251
PHY251 Lecture Notes Set 1PHY251 Lecture Notes - Set 1file:/C|/DOCUME~1/PHY_CO~1/PHY251/PHY251_lecture_01.HTML (1 of 15) [1/23/2001 5:19:56 PM]PHY251 Lecture Notes Set 1file:/C|/DOCUME~1/PHY_CO~1/PHY251/PHY251_lecture_01.HTML (2 of 15) [1/23/
SUNY Stony Brook - PHY - 251
PHY251 Lecture Notes Set 2PHY251 Lecture Notes - Set 2file:/C|/DOCUME~1/PHY_CO~1/PHY251/PHY251_lecture_02.HTML (1 of 6) [2/8/2001 2:01:45 PM]PHY251 Lecture Notes Set 2file:/C|/DOCUME~1/PHY_CO~1/PHY251/PHY251_lecture_02.HTML (2 of 6) [2/8/2001
SUNY Stony Brook - PHY - 251
PHY251 Lecture Notes Set 3PHY251 Lecture Notes - Set 3file:/C|/DOCUME~1/PHY_CO~1/PHY251/PHY251_lecture_03.HTML (1 of 9) [2/8/2001 1:58:26 PM]PHY251 Lecture Notes Set 3file:/C|/DOCUME~1/PHY_CO~1/PHY251/PHY251_lecture_03.HTML (2 of 9) [2/8/2001
SUNY Stony Brook - PHY - 251
PHY251 Lecture Notes Set 4PHY251 Lecture Notes - Set 4file:/C|/DOCUME~1/PHY_CO~1/PHY251/PHY251_lecture_04.HTML (1 of 17) [2/20/2001 7:35:36 PM]PHY251 Lecture Notes Set 4file:/C|/DOCUME~1/PHY_CO~1/PHY251/PHY251_lecture_04.HTML (2 of 17) [2/20/
SUNY Stony Brook - PHY - 251
PHY251 Lecture Notes Set 5PHY251 Lecture Notes - Set 5file:/C|/Documents/phy_courses/PHY251/PHY251_lecture_05.HTML (1 of 5) [3/7/2001 2:41:57 PM]PHY251 Lecture Notes Set 5file:/C|/Documents/phy_courses/PHY251/PHY251_lecture_05.HTML (2 of 5) [
SUNY Stony Brook - PHY - 251
PHY251 Lecture Notes Set 6PHY251 Lecture Notes - Set 6file:/C|/Documents/phy_courses/PHY251/PHY251_lecture_06.HTML (1 of 7) [3/7/2001 2:46:00 PM]PHY251 Lecture Notes Set 6file:/C|/Documents/phy_courses/PHY251/PHY251_lecture_06.HTML (2 of 7) [
SUNY Stony Brook - PHY - 251
PHY251 Lecture Notes Set 7PHY251 Lecture Notes - Set 7file:/C|/DOCUME~1/PHY_CO~1/PHY251/PHY251_lecture_07.HTML (1 of 14) [4/3/2001 12:03:18 PM]PHY251 Lecture Notes Set 7file:/C|/DOCUME~1/PHY_CO~1/PHY251/PHY251_lecture_07.HTML (2 of 14) [4/3/2
SUNY Stony Brook - PHY - 251
PHY251 Lecture Notes Set 8PHY251 Lecture Notes - Set 8file:/C|/Documents/phy_courses/PHY251/PHY251_lecture_08.HTML (1 of 6) [4/3/2001 12:30:05 PM]PHY251 Lecture Notes Set 8file:/C|/Documents/phy_courses/PHY251/PHY251_lecture_08.HTML (2 of 6)
SUNY Stony Brook - PHY - 251
PHY251 Lecture Notes Set 9PHY251 Lecture Notes - Set 9file:/C|/DOCUME~1/PHY_CO~1/PHY251/PHY251_lecture_09.HTML (1 of 14) [4/16/2001 1:51:03 PM]PHY251 Lecture Notes Set 9file:/C|/DOCUME~1/PHY_CO~1/PHY251/PHY251_lecture_09.HTML (2 of 14) [4/16/
SUNY Stony Brook - PHY - 251
PHY251 Lecture Notes Set 10PHY251 Lecture Notes - Set 10file:/C|/DOCUME~1/PHY_CO~1/PHY251/PHY251_lecture_10.HTML (1 of 8) [4/23/2001 2:12:37 PM]PHY251 Lecture Notes Set 10file:/C|/DOCUME~1/PHY_CO~1/PHY251/PHY251_lecture_10.HTML (2 of 8) [4/23
SUNY Stony Brook - PHY - 251
PHY251 Lecture Notes Set 11PHY251 Lecture Notes - Set 11file:/C|/DOCUME~1/PHY_CO~1/PHY251/PHY251_lecture_11.HTML (1 of 20) [4/23/2001 1:56:21 PM]PHY251 Lecture Notes Set 11file:/C|/DOCUME~1/PHY_CO~1/PHY251/PHY251_lecture_11.HTML (2 of 20) [4/
SUNY Stony Brook - PHY - 251
PHY251 Lecture Notes Set 12PHY251 Lecture Notes - Set 12file:/C|/DOCUME~1/PHY_CO~1/PHY251/PHY251_lecture_12.HTML (1 of 13) [5/1/2001 7:44:45 PM]PHY251 Lecture Notes Set 12file:/C|/DOCUME~1/PHY_CO~1/PHY251/PHY251_lecture_12.HTML (2 of 13) [5/1
SUNY Stony Brook - PHY - 251
PHY251 Lecture Notes Set 13PHY251 Lecture Notes - Set 13file:/C|/Documents/phy_courses/PHY251/PHY251_lecture_13.HTML (1 of 12) [5/8/2001 9:05:47 AM]PHY251 Lecture Notes Set 13file:/C|/Documents/phy_courses/PHY251/PHY251_lecture_13.HTML (2 of
SUNY Stony Brook - PHY - 251
PHY251 Lecture Notes Set 14PHY251 Lecture Notes - Set 14file:/C|/DOCUME~1/PHY_CO~1/PHY251/PHY251_lecture_14.HTML (1 of 7) [5/8/2001 9:19:33 AM]PHY251 Lecture Notes Set 14file:/C|/DOCUME~1/PHY_CO~1/PHY251/PHY251_lecture_14.HTML (2 of 7) [5/8/2
SUNY Stony Brook - PHY - 251
PHY 251Modern PhysicsFinal grades available (see Grading below)Fall 1998PHY251 is a wide-ranging introduction to the physics of the 20th century, which saw a radical evolution in the understanding and view of the sub-microscopic domain and in
SUNY Stony Brook - PHY - 251
file:/C|/Documents%20and%20Settings/Linda%20Grauer/My%20Doc.20HEP-H2/PHY251%20Sp01/Phy251%20Fa98/PHY251_M1_F98solutn.htmlName:PHYSICS 251 - Midterm IWednesday Oct 14, 1998I. Short answer problems: (60 points) a. List and/or name: (16 points)
SUNY Stony Brook - PHY - 251
file:/C|/Documents%20and%20Settings/Linda%20Grauer/My%20Doc.20HEP-H2/PHY251%20Sp01/Phy251%20Fa98/PHY251_M2_F98solutn.htmlPHYSICS 251 - Midterm IIMonday, November 23, 1998 Show all work for full credit!Short answer problems, each about 3 points:
SUNY Stony Brook - PHY - 251
PHY251 - Michelson-MorleyPHY 251IntroductionMichelson InterferometerTo better understand the interferometer used by Michelson and Morley, we use a simplified version of their instrument to measure the wavelength of the laser light source used.
SUNY Stony Brook - PHY - 251
PHY251 - Photoelectric EffectPHY 251IntroductionThe Photoelectric EffectIn this experiment you will use the photoelectric effect to measure the Planck constant h. This classical experiment led to the first precise determination of h, and in 19
SUNY Stony Brook - PHY - 251
PHY251 - Measurement of Electron ChargePHY 251IntroductionMeasurement of the Electron ChargeThe purpose of this experiment is to measure the smallest unit into which electric charge can be divided, that is, the charge of an electron e. The met
SUNY Stony Brook - PHY - 251
PHY251 - Waves on a stringPHY 251 Vibration Spectrum of 1-Dimensional WavesIntroductionIn this experiment we study standing waves on a long rubber band stretched between fixed supports. These standing waves are analogous to the wave functions of
SUNY Stony Brook - PHY - 251
PHY251 - e/m for electronsPHY 251IntroductionMeasurement of e/m for ElectronsIn this experiment you will measure e/m, the ratio of charge e to mass m of the electron. The set-up consists of an evacuated (except for a low pressure of He gas) ca
SUNY Stony Brook - PHY - 251
PHY251 - ScatteringPHY 251IntroductionScatteringThe purpose of this laboratory is to show how certain characteristics of an object can be determined from the distribution of particles (or radiation) scattered from the object. In particular, we
SUNY Stony Brook - PHY - 251
PHY251 - Hydrogen SpectrumPHY 251IntroductionEmission Spectrum of HydrogenIn this experiment you will measure the visible part of the hydrogen spectrum, the Balmer series, and determine the Rydberg constant Ry. If parallel rays of light are in
SUNY Stony Brook - PHY - 251
PHY251 - Bragg ScatteringPHY 251PurposeBragg Scattering of MicrowavesIn this experiment, we will study the scattering of microwaves from a `crystal' made up of ball bearings embedded in styrofoam. We will find diffraction maxima that are simil
SUNY Stony Brook - PHY - 251
PHY251 - Geiger counterPHY 251IntroductionGeiger CounterThis experiment has two main objectives. First, we will become familiar with the characteristics of the Geiger-Mller (GM) tube, including the properties of threshold, starting and operati
SUNY Stony Brook - PHY - 251
PHY251 - Radioactive DecaysPHY 251IntroductionRadioactive DecaysIn this experiment we will measure the half-life of an excited state of the 137Ba nucleus. Samples are prepared from a radioactive isotope of 137Cs. This isotope has too many neut
SUNY Stony Brook - PHY - 251
PHY251 - Elementary ParticlesPHY 251IntroductionElementary particles are everywhere around us. Apart from the standard matter particles proton, neutron and electron, hundreds of other particles have been found, produced in cosmic ray interactions
SUNY Stony Brook - PHY - 431
PHY 431Nuclear and Particle PhysicsSpring 2000News and Announcements: (May 19, 10:00am) Final Grades are on the web, see below. Have a well deserved vacation!PHY431 presents an overview of the physics of nuclei and elementary particles at the
SUNY Stony Brook - PHY - 431
PHY431 Midterm Spring 200015/2/2000Short-Answer Questions1. Define alpha, beta, and gamma radiation. For each type, write down an example of a reaction in which such radiation is emitted. alpha radiation: emission of strongly bound 2p-2n clust
SUNY Stony Brook - PHY - 431
phy431_s99_M1PHY431 Midterm AssignmentAssignmentsProblem 1 The Nuclear Size The binding energies of the nuclei 11B and 11C are 76.205 and 73.443 MeV respectively. Assume that this difference is entirely due to Coulomb effects, and that the proto
SUNY Stony Brook - PHY - 431
phy431_s00_hw01PHY431 Homework Set 1Reading: Lecture Notes Due date: Monday Jan 23Homework: See belowProblems, Hints and SolutionsProblem I.1 Special Relativity Muons are produced in upper atmosphere air showers initiated by high-energy cosmi
SUNY Stony Brook - PHY - 431
phy431_s99_hw02PHY431 Homework Set 2Reading: Lecture Notes Set 1 Due date: Monday Jan 31Homework: See belowHints and SolutionsProblem II.1 . Derive a formula for the minimum kinetic energy K that is necessary for alpha's to just start 'touchi
SUNY Stony Brook - PHY - 431
phy431_s99_hw03PHY431 Homework Set 3Reading: Lecture Notes Due date: Wednesday Feb 9Homework: See below:Hints and SolutionsProblem III.1 Calculate the form factor squared |F(q)| as function of q and as function of scattering angle for 400 Me
SUNY Stony Brook - PHY - 431
phy431_s99_hw04PHY431 Homework Set 4Reading: Lecture Notes Due date: Wednesday Feb 16Homework: See below:Hints and SolutionsProblem IV.1 Explain why the 48Ni nucleus is worth searching for. Why is it expected to be stable enough for observati
SUNY Stony Brook - PHY - 431
phy431_s99_hw05PHY431 Homework Set 5Reading: Lecture Notes Due date: Wednesday March 1Homework: See below:Hints and SolutionsProblem V.1 Show that the Angular Momentum Barrier &quot;potential&quot; L/2I = l(l+1)h/2mr for the radioactive decay:209 P 9
SUNY Stony Brook - PHY - 431
phy431_s99_hw06PHY431 Homework Set 6Reading: Lecture Notes Due date: Wednesday March 8Homework: See below:Hints and SolutionsProblem VI.1 Using the isospin-lowering operator I-, and starting at the &quot;fully stretched&quot; state + = |uuu, derive the
SUNY Stony Brook - PHY - 431
phy431_s99_hw07PHY431 Homework Set 7Reading: Lecture Notes Due date: Wednesday April 19Homework: See below:Hints and SolutionsProblem VII.1 Show that a mass term of the form mAA does break the usual gauge invariance of the electromagnetic fie
SUNY Stony Brook - PHY - 431
phy431_s00_hw08PHY431 Homework Set 8Reading: Lecture Notes Due date: Wednesday April 26Homework: See below:Hints and SolutionsProblem VIII.1 Find the expression for the &quot;Dirac Potential&quot; VD in the Dirac equation i/t = (-i + m + VD) by using
SUNY Stony Brook - PHY - 431
phy431_s00_hw09PHY431 Homework Set 9Reading: Lecture Notes Due date: Wednesday May 3Homework: See below:Hints and SolutionsProblem IX.1 Show that the SU(2) group of continuous operators exp{i(x)}: . is unitary b. has determinant 1 Hints: see
SUNY Stony Brook - PHY - 431
PHY431 Lecture Notes Set 1PHY431 Lecture Notes - Set 1file:/C|/Documents/phy_courses/PHY431/PHY431_lecture_01.HTML (1 of 11) [1/23/2000 9:03:14 PM]PHY431 Lecture Notes Set 1file:/C|/Documents/phy_courses/PHY431/PHY431_lecture_01.HTML (2 of 11
SUNY Stony Brook - PHY - 431
PHY431 Lecture 212/6/20002. Measuring the Nuclear Charge DistributionThe nuclear charge distribution tells us where in the nucleus the protons live, at least on average. The density of protons gives us information about the strong force. Sever