EXPERIMENT 13. Balmer Series of Hydrogen
|
|
- Phyllis Short
- 7 years ago
- Views:
Transcription
1 EXPERIMENT 13 Balmer Series of Hydrogen Any atomic gas or element (heated to vapor form) can be made to radiate light when suitably "excited" by an electric discharge, spark, or flame. If this light is viewed through a prism or diffraction grating, the spectrum consists of a series of discrete lines whose wavelengths are characteristic of the element concerned. The wavelengths that occur are directly related to the structure of the atom; in fact, our modern theory of atomic structure developed as a result of attempts to explain observed spectra. The purpose of this experiment is to gain insight into the structure of the simplest atom by analyzing the wavelength of the Balmer series of hydrogen. The results are then correlated to Bohr's theory of the hydrogen atom. Theory In 1885 J.J. Balmer succeeded in fitting a mathematical equation to the visible wavelengths of hydrogen, namely 1 1 = R 4 1 n 2 n = 3,4,5... (1) where R was an experimentally determined constant, called the Rydberg constant. The values of n corresponded to successive lines of the so-called Balmer series as shown in figure (1), where the symbols H, H, H, etc. are the traditional names given to the lines. series limit n=8 n=7 n=6 n=5 n=4 n=3 H ξ H ε H δ H γ H β H α Ultraviolet Violet Blue Blue-Green red Figure 1 The Balmer series of spectral lines for hydrogen. The wavelengths λ are given in nanometers. Although Balmer's equation accurately predicted the wavelengths, no one understood why. It was not until 1913 that Neils Bohr applied quantum ideas to develop a theory, which successfully explained the origin of the lines and showed how Balmer's equation could be derived theoretically. Bohr postulated that the electron, orbiting around
2 13-2 the nucleus, could only do so in certain discrete orbits. The energy E of the atom when the electron is in a stationary orbit with quantum number n is given by E = me4 Z 2 8εo 2 h 2 n 2 n = 1,2,3... (2) where m is the mass of the electron, e is the electronic charge, h is Planck's constant, is the permittivity of free space, Z is the atomic number of the atom. The energies specified by equation (2) can be represented by an energy-level diagram as shown in figure (2) where E 1 is the ground state of the electron and, E 2, E 3, E 4, etc. indicated excited states. Bohr showed that the observed spectral lines were caused by electrons making transitions from one energy level to another. He stated that if an electron in an initial energy state E i drops to a final lower state E f, the energy difference E = E i E f is radiated as a photon whose energy is given by Einstein's equation E = hf. Substituting equation (2) into E i - E f = h(c / ), Bohr obtained the following expression for the wavelength of the emitted radiation: o 1 λ = Z 2 4 me 8ε o 2 h 3 c 1 n 2-1 f n 2 i (3) n= E = 0 n=5 n=4 n=3 E E 5 4 E 3 This theoretical expression corresponds exactly to the form of Balmer's empirical equation if Z = 1 and n f = 2. The numerical value of the quantity n=2 H H H H 123 Balmer series E 2 me 4 8ε o 2 h 3 c agrees very closely with the experimental value of R. However, even better agreement can be obtained if the electron mass m in equation (3) is replaced by the "reduced mass" m* given by n=1 ground state E 1 Figure 2 Energy level diagram for the Balmer series of hydrogen. m* = mm (m + M) (4)
3 13-3 where M is the mass of the nucleus. This correction is necessary to account for the fact that the nucleus is not stationary but that both the nucleus and electron revolve about their common center of mass. Using the reduced mass m*, equation (3) can be rewritten as 1 / = Z 2 R(1 / n f 2 1 / n i 2 ) where the appropriate expression for R becomes: R = M m +M R R =- me 4 8ε o 2 h 3 c (5) The quantity R is simply a notation representing the value of R when M/m. For the case of hydrogen, the ratio M/m is about 1836, so that the value of R Hydrogen is slightly smaller than R. Today, the best available value of R is x 10 7 m -1. As a final note, Bohr predicted the existence of other series in the hydrogen spectrum by substituting different values of n f in equation (3). These series, which were all later confirmed experimentally, are: Lyman series (n f = 1), Paschen series (n f = 3), Brackett series (n f = 4), and Pfund series (n f = 5). Furthermore, Bohr's theory for the hydrogen atom also works for other single-electron systems such as He +, Li ++, etc. each of which have a slightly different Rydberg constant. The downfall of the Bohr theory came when it could not give the correct energies for more complex atoms and this is where the need for modern quantum mechanics arose. Grating Spectrometer spectrometer table φ R slit θ R φ 0 (center) light source collimator θ L grating mount eyepiece telescope Figure 3 A schematic diagram of a grating spectrometer used to measure wavelengths of the light source.
4 13-4 In this experiment, a spectrometer mounted with a diffraction grating is used to measure the wavelengths of light (see figure 3). The spectrometer consists of a collimator which allows parallel light rays to pass through the grating, a telescope to view the resultant spectrum, and a rotatable table. If care is taken to ensure that the light enters the grating with normal incidence, the wavelength of a spectral line is given by the familiar relation mλ = d sinθ m = 0,1,2,3,.. (6) where d is the spacing of the "slits" in the grating, m is the order of the diffracted wavelength, and is the angle through which the wavelength has been deviated. A schematic diagram showing the arrangement for the first three orders of the hydrogen spectrum is illustrated in figure (1) below. m=2 m=1 Left m=0 m=1 Right m=2 Figure 4 Representation of 3 successive orders for the hydrogen spectrum. The theory of the diffraction grating is available in most texts for those who are not familiar with it. Procedure: Part I: Spectrometer Alignment When using the spectrometer, wear your glasses or contacts if you normally do so. In order that the spectrometer is properly set for use with this experiment, the following adjustments are necessary: 1. Focus the eyepiece so that the cross-hairs are clearly visible. 2. Focus the telescope for parallel light by viewing a distant object and obtain a clear image with no parallax relative to the cross-hairs. Parallax occurs if the image appears to move when you gently bob your head from side to side while sighting into the telescope. Note: Once the telescope has been set for parallel light, it should not be re-adjusted during the rest of the experiment.
5 Turn on the hydrogen lamp for about 5 minutes, and place it as close as possible to the entrance slit of the collimator. Line up the collimator slit and telescope cross hairs. This is done by centering the cross hairs on the image of the slit in the telescope. Adjust the collimator so that a sharp image of the slit is seen when sighting through the telescope. This is the zeroth order diffraction line. The accuracy of the spectrometer is limited by the size of the collimator slit and by the angular sensitivity of the spectrometer table. A narrow slit is necessary for precise measurements but it may give too faint an image. A slightly wider slit can be used and then narrowed prior to the final reading. Part II: Grating Alignment 1. Carefully mount the grating in the holder and rotate the spectrometer table so that the slide is perpendicular to the collimator axis. 2. To verify that the grating is perpendicular to the collimator axis first, measure the position of the zeroth order diffraction line 0 (m=0). Next rotate the telescope to the left and locate the first order red spectral line. Depending on the diffraction grating this rotation will be 15 to 20 degrees from the central (m=0) bright line. Record the angular position of the line L. Next record the angular position of the first order red line to the right of the central line R. Finally check that the diffracted angles to the left and right are equal within 0.1. If they are not equal then rotate the grating until they are equal within 0.1. Once the grating is aligned, tighten the table-clamp allowing the telescope to rotate freely. 3. If the spectral lines appear too faint, first adjust the lamp position and then, if necessary, increase the slit-size slightly using the thumb screw at the end of the collimator. If you have difficulty seeing 2 violet lines in hydrogen, check the alignment of the light source so that the spectral lines are of maximum brightness. Also blocking stray light or covering the spectrometer arrangement with a dark cloth is helpful. Part III: Hydrogen Spectrum measurements 1. Record the position for the zeroth order diffraction line 0 (m=0). 2. Locate as many of the first order spectral lines as possible to the left of the central line. Center the cross hairs of the telescope on each line and record the position calculate the corresponding diffracted angle., then 3. Repeat the measurements using the first order spectral lines located to the right of the central line.
6 13-6 Analysis 1. Using equation (6), calculate the wavelength λ ± δλ for one set of spectral lines Graph vs n Find the value for R and its uncertainty from the slope of the resulting graph. 4. Repeat steps (1) to (3) above using the second set of data. Questions: 1. What is the shortest wavelength in the Balmer series? Is it visible? 2. What is happening to the electron relative to the nucleus when E = 0? E > 0? E < 0? Refer to figure (2). 3. Bohr's theory helped in the discovery of the isotope deuterium, 2 H, by predicting a very small difference between the wavelengths of ordinary hydrogen and deuterium. How far apart should the H α line of these two kinds of hydrogen be? 4. If light incident on the grating makes an angle with respect to the normal to the grating, show that equation (6) becomes d[sin(θ ϕ) + sin ϕ] = mλ. 5. Derive equation (4) for m*. (Hint: The total angular momentum Iω = m*r 2 ω equals the sum of the individual angular momenta, where r = r e + r n ; r e, r n are the distances of the electron and nucleus respectively, from the center of mass.)
THE BOHR QUANTUM MODEL
THE BOHR QUANTUM MODEL INTRODUCTION When light from a low-pressure gas is subject to an electric discharge, a discrete line spectrum is emitted. When light from such a low-pressure gas is examined with
More informationWAVELENGTH OF LIGHT - DIFFRACTION GRATING
PURPOSE In this experiment we will use the diffraction grating and the spectrometer to measure wavelengths in the mercury spectrum. THEORY A diffraction grating is essentially a series of parallel equidistant
More informationGRID AND PRISM SPECTROMETERS
FYSA230/2 GRID AND PRISM SPECTROMETERS 1. Introduction Electromagnetic radiation (e.g. visible light) experiences reflection, refraction, interference and diffraction phenomena when entering and passing
More informationATOMIC SPECTRA. Apparatus: Optical spectrometer, spectral tubes, power supply, incandescent lamp, bottles of dyed water, elevating jack or block.
1 ATOMIC SPECTRA Objective: To measure the wavelengths of visible light emitted by atomic hydrogen and verify the measured wavelengths against those predicted by quantum theory. To identify an unknown
More informationExperiment #12: The Bohr Atom. Equipment: Spectroscope Hydrogen and Helium Gas Discharge Tubes, Holder, and Variac Flashlight
Experiment #12: The Bohr Atom Purpose: To observe the visible spectrum of hydrogen and helium and verify the Bohr model of the hydrogen atom. Equipment: Spectroscope Hydrogen and Helium Gas Discharge Tubes,
More informationO6: The Diffraction Grating Spectrometer
2B30: PRACTICAL ASTROPHYSICS FORMAL REPORT: O6: The Diffraction Grating Spectrometer Adam Hill Lab partner: G. Evans Tutor: Dr. Peter Storey 1 Abstract The calibration of a diffraction grating spectrometer
More informationReview of the isotope effect in the hydrogen spectrum
Review of the isotope effect in the hydrogen spectrum 1 Balmer and Rydberg Formulas By the middle of the 19th century it was well established that atoms emitted light at discrete wavelengths. This is in
More informationAtoms Absorb & Emit Light
Atoms Absorb & Emit Light Spectra The wavelength of the light that an element emits or absorbs is its fingerprint. Atoms emit and absorb light First Test is Thurs, Feb 1 st About 30 multiple choice questions
More informationLight as a Wave. The Nature of Light. EM Radiation Spectrum. EM Radiation Spectrum. Electromagnetic Radiation
The Nature of Light Light and other forms of radiation carry information to us from distance astronomical objects Visible light is a subset of a huge spectrum of electromagnetic radiation Maxwell pioneered
More informationTIME OF COMPLETION NAME SOLUTION DEPARTMENT OF NATURAL SCIENCES. PHYS 3650, Exam 2 Section 1 Version 1 October 31, 2005 Total Weight: 100 points
TIME OF COMPLETION NAME SOLUTION DEPARTMENT OF NATURAL SCIENCES PHYS 3650, Exam 2 Section 1 Version 1 October 31, 2005 Total Weight: 100 points 1. Check your examination for completeness prior to starting.
More informationHow To Understand Light And Color
PRACTICE EXAM IV P202 SPRING 2004 1. In two separate double slit experiments, an interference pattern is observed on a screen. In the first experiment, violet light (λ = 754 nm) is used and a second-order
More informationName Date Class ELECTRONS IN ATOMS. Standard Curriculum Core content Extension topics
13 ELECTRONS IN ATOMS Conceptual Curriculum Concrete concepts More abstract concepts or math/problem-solving Standard Curriculum Core content Extension topics Honors Curriculum Core honors content Options
More informationPhotons. ConcepTest 27.1. 1) red light 2) yellow light 3) green light 4) blue light 5) all have the same energy. Which has more energy, a photon of:
ConcepTest 27.1 Photons Which has more energy, a photon of: 1) red light 2) yellow light 3) green light 4) blue light 5) all have the same energy 400 nm 500 nm 600 nm 700 nm ConcepTest 27.1 Photons Which
More informationBohr's Theory of the Hydrogen Atom
OpenStax-CNX module: m42596 1 Bohr's Theory of the Hydrogen Atom OpenStax College This work is produced by OpenStax-CNX and licensed under the Creative Commons Attribution License 4.0 Abstract Describe
More informationILLUSTRATIVE EXAMPLE: Given: A = 3 and B = 4 if we now want the value of C=? C = 3 + 4 = 9 + 16 = 25 or 2
Forensic Spectral Anaylysis: Warm up! The study of triangles has been done since ancient times. Many of the early discoveries about triangles are still used today. We will only be concerned with the "right
More informationChapter 18: The Structure of the Atom
Chapter 18: The Structure of the Atom 1. For most elements, an atom has A. no neutrons in the nucleus. B. more protons than electrons. C. less neutrons than electrons. D. just as many electrons as protons.
More informationExperiment IV: Atomic Spectra and the Bohr model
P19: INTRODUCTORY PHYSICS III Experiment IV: Atomic Spectra and the Bohr model Department of Physics and Astronomy Dartmouth College 6127 Wilder Laboratory Hanover, NH 03755 USA Overview In this lab, we
More information5. The Nature of Light. Does Light Travel Infinitely Fast? EMR Travels At Finite Speed. EMR: Electric & Magnetic Waves
5. The Nature of Light Light travels in vacuum at 3.0. 10 8 m/s Light is one form of electromagnetic radiation Continuous radiation: Based on temperature Wien s Law & the Stefan-Boltzmann Law Light has
More informationBuilding your own Spectroscope
Building your own Spectroscope 0-0.341-0.445-0.606-0.872-1.36 Lyman Balmer Paschen n=4 n=8 n=7 n=6 n=5 n=4 ENERGY/10-19 J -2.42-5.45 E 5 2 E 4 2 E 3 2 E E 5 3 4 3 n=3 n=2 (Many other transitions beyond
More informationChemistry 2 Chapter 13: Electrons in Atoms Please do not write on the test Use an answer sheet! 1 point/problem 45 points total
Chemistry 2 Chapter 13: Electrons in Atoms Please do not write on the test Use an answer sheet! 1 point/problem 45 points total 1. Calculate the energy in joules of a photon of red light that has a frequency
More informationWAVES AND ELECTROMAGNETIC RADIATION
WAVES AND ELECTROMAGNETIC RADIATION All waves are characterized by their wavelength, frequency and speed. Wavelength (lambda, ): the distance between any 2 successive crests or troughs. Frequency (nu,):
More informationFlame Tests & Electron Configuration
Flame Tests & Electron Configuration INTRODUCTION Many elements produce colors in the flame when heated. The origin of this phenomenon lies in the arrangement, or configuration of the electrons in the
More informationPHYSICS PAPER 1 (THEORY)
PHYSICS PAPER 1 (THEORY) (Three hours) (Candidates are allowed additional 15 minutes for only reading the paper. They must NOT start writing during this time.) ---------------------------------------------------------------------------------------------------------------------
More informationMeasurement of Charge-to-Mass (e/m) Ratio for the Electron
Measurement of Charge-to-Mass (e/m) Ratio for the Electron Experiment objectives: measure the ratio of the electron charge-to-mass ratio e/m by studying the electron trajectories in a uniform magnetic
More informationWave Function, ψ. Chapter 28 Atomic Physics. The Heisenberg Uncertainty Principle. Line Spectrum
Wave Function, ψ Chapter 28 Atomic Physics The Hydrogen Atom The Bohr Model Electron Waves in the Atom The value of Ψ 2 for a particular object at a certain place and time is proportional to the probability
More informationThe Phenomenon of Photoelectric Emission:
The Photoelectric Effect. The Wave particle duality of light Light, like any other E.M.R (electromagnetic radiation) has got a dual nature. That is there are experiments that prove that it is made up of
More informationLevel 3 Achievement Scale
Unit 1: Atoms Level 3 Achievement Scale Can state the key results of the experiments associated with Dalton, Rutherford, Thomson, Chadwick, and Bohr and what this lead each to conclude. Can explain that
More informationTheremino System Theremino Spectrometer Technology
Theremino System Theremino Spectrometer Technology theremino System - Theremino Spectrometer Technology - August 15, 2014 - Page 1 Operation principles By placing a digital camera with a diffraction grating
More informationArrangement of Electrons in Atoms
CHAPTER 4 PRE-TEST Arrangement of Electrons in Atoms In the space provided, write the letter of the term that best completes each sentence or best answers each question. 1. Which of the following orbital
More informationQuantum Mechanics and Atomic Structure 1
Quantum Mechanics and Atomic Structure 1 INTRODUCTION The word atom is derived from the Greek word, atomos, which means uncut or indivisible. It was Dalton (1808) who established that elementary constituents
More informationAtomic Calculations. 2.1 Composition of the Atom. number of protons + number of neutrons = mass number
2.1 Composition of the Atom Atomic Calculations number of protons + number of neutrons = mass number number of neutrons = mass number - number of protons number of protons = number of electrons IF positive
More informationBasic Optics System OS-8515C
40 50 30 60 20 70 10 80 0 90 80 10 20 70 T 30 60 40 50 50 40 60 30 C 70 20 80 10 90 90 0 80 10 70 20 60 50 40 30 Instruction Manual with Experiment Guide and Teachers Notes 012-09900B Basic Optics System
More informationSample Exercise 6.1 Concepts of Wavelength and Frequency
Sample Exercise 6.1 Concepts of Wavelength and Frequency Two electromagnetic waves are represented in the margin. (a) Which wave has the higher frequency? (b) If one wave represents visible light and the
More information!! Regarding the information about figures (Fig.XY) please have a look at the german version!! Spektroscopy
1. Introduction (under construction) Spektroscopy 2. Prism and Grid Spectrometers Basics of Construction and Operation The experiment can be conducted with one of two types of spectrometer in which the
More informationFriday 18 January 2013 Morning
Friday 18 January 2013 Morning AS GCE PHYSICS B (ADVANCING PHYSICS) G492/01 Understanding Processes / Experimentation and Data Handling *G411640113* Candidates answer on the Question Paper. OCR supplied
More informationAtomic Structure: Chapter Problems
Atomic Structure: Chapter Problems Bohr Model Class Work 1. Describe the nuclear model of the atom. 2. Explain the problems with the nuclear model of the atom. 3. According to Niels Bohr, what does n stand
More informationAustin Peay State University Department of Chemistry Chem 1111. The Use of the Spectrophotometer and Beer's Law
Purpose To become familiar with using a spectrophotometer and gain an understanding of Beer s law and it s relationship to solution concentration. Introduction Scientists use many methods to determine
More informationElectron Orbits. Binding Energy. centrifugal force: electrostatic force: stability criterion: kinetic energy of the electron on its orbit:
Electron Orbits In an atom model in which negatively charged electrons move around a small positively charged nucleus stable orbits are possible. Consider the simple example of an atom with a nucleus of
More information6) How wide must a narrow slit be if the first diffraction minimum occurs at ±12 with laser light of 633 nm?
Test IV Name 1) In a single slit diffraction experiment, the width of the slit is 3.1 10-5 m and the distance from the slit to the screen is 2.2 m. If the beam of light of wavelength 600 nm passes through
More informationExperiment #5: Qualitative Absorption Spectroscopy
Experiment #5: Qualitative Absorption Spectroscopy One of the most important areas in the field of analytical chemistry is that of spectroscopy. In general terms, spectroscopy deals with the interactions
More informationP R E A M B L E. Facilitated workshop problems for class discussion (1.5 hours)
INSURANCE SCAM OPTICS - LABORATORY INVESTIGATION P R E A M B L E The original form of the problem is an Experimental Group Research Project, undertaken by students organised into small groups working as
More informationThe Advanced Placement Examination in Chemistry. Part I Multiple Choice Questions Part II Free Response Questions Selected Questions from1970 to 2010
The Advanced Placement Examination in Chemistry Part I Multiple Choice Questions Part II Free Response Questions Selected Questions from1970 to 2010 Atomic Theory and Periodicity Part I 1984 1. Which of
More informationReflection and Refraction
Equipment Reflection and Refraction Acrylic block set, plane-concave-convex universal mirror, cork board, cork board stand, pins, flashlight, protractor, ruler, mirror worksheet, rectangular block worksheet,
More informationBlackbody Radiation References INTRODUCTION
Blackbody Radiation References 1) R.A. Serway, R.J. Beichner: Physics for Scientists and Engineers with Modern Physics, 5 th Edition, Vol. 2, Ch.40, Saunders College Publishing (A Division of Harcourt
More informationFrom lowest energy to highest energy, which of the following correctly orders the different categories of electromagnetic radiation?
From lowest energy to highest energy, which of the following correctly orders the different categories of electromagnetic radiation? From lowest energy to highest energy, which of the following correctly
More informationAP* Atomic Structure & Periodicity Free Response Questions KEY page 1
AP* Atomic Structure & Periodicity ree Response Questions KEY page 1 1980 a) points 1s s p 6 3s 3p 6 4s 3d 10 4p 3 b) points for the two electrons in the 4s: 4, 0, 0, +1/ and 4, 0, 0, - 1/ for the three
More information1 Laboratory #5: Grating Spectrometer
SIMG-215-20061: LABORATORY #5 1 Laboratory #5: Grating Spectrometer 1.1 Objective: To observe and measure the spectra of different light sources. 1.2 Materials: 1. OSA optics kit. 2. Nikon digital camera
More informationChemistry 102 Summary June 24 th. Properties of Light
Chemistry 102 Summary June 24 th Properties of Light - Energy travels through space in the form of electromagnetic radiation (EMR). - Examples of types of EMR: radio waves, x-rays, microwaves, visible
More informationHomework #10 (749508)
Homework #10 (749508) Current Score: 0 out of 100 Description Homework on quantum physics and radioactivity Instructions Answer all the questions as best you can. 1. Hewitt10 32.E.001. [481697] 0/5 points
More information13- What is the maximum number of electrons that can occupy the subshell 3d? a) 1 b) 3 c) 5 d) 2
Assignment 06 A 1- What is the energy in joules of an electron undergoing a transition from n = 3 to n = 5 in a Bohr hydrogen atom? a) -3.48 x 10-17 J b) 2.18 x 10-19 J c) 1.55 x 10-19 J d) -2.56 x 10-19
More informationChapter 7. Electron Structure of the Atom. Chapter 7 Topics
Chapter 7 Electron Structure of the Atom Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction or display. 1 Chapter 7 Topics 1. Electromagnetic radiation 2. The Bohr model of
More informationAtomic Structure Ron Robertson
Atomic Structure Ron Robertson r2 n:\files\courses\1110-20\2010 possible slides for web\atomicstructuretrans.doc I. What is Light? Debate in 1600's: Since waves or particles can transfer energy, what is
More informationInterference. Physics 102 Workshop #3. General Instructions
Interference Physics 102 Workshop #3 Name: Lab Partner(s): Instructor: Time of Workshop: General Instructions Workshop exercises are to be carried out in groups of three. One report per group is due by
More informationCHEM 1411 Chapter 5 Homework Answers
1 CHEM 1411 Chapter 5 Homework Answers 1. Which statement regarding the gold foil experiment is false? (a) It was performed by Rutherford and his research group early in the 20 th century. (b) Most of
More informationAP Physics B Ch. 23 and Ch. 24 Geometric Optics and Wave Nature of Light
AP Physics B Ch. 23 and Ch. 24 Geometric Optics and Wave Nature of Light Name: Period: Date: MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Reflection,
More informationSTAAR Science Tutorial 30 TEK 8.8C: Electromagnetic Waves
Name: Teacher: Pd. Date: STAAR Science Tutorial 30 TEK 8.8C: Electromagnetic Waves TEK 8.8C: Explore how different wavelengths of the electromagnetic spectrum such as light and radio waves are used to
More informationWhat s in the Mix? Liquid Color Spectroscopy Lab (Randy Landsberg & Bill Fisher)
What s in the Mix? Liquid Color Spectroscopy Lab (Randy Landsberg & Bill Fisher) Introduction: There is more to a color than a name. Color can tell us lots of information. In this lab you will use a spectrophotometer
More informationFirstView 3 Reflector Telescope Owner s Manual
FirstView 3 Reflector Telescope Owner s Manual 1. Horizontal Locking Auxiliary Screw 2. Main Mount 3. Pitching Auxiliary Knob 4. Pitching Shaft Screw 5. Rack and Pinion Focusing Knob 6. Thumb Nut for Finder
More informationSolution Derivations for Capa #14
Solution Derivations for Capa #4 ) An image of the moon is focused onto a screen using a converging lens of focal length (f = 34.8 cm). The diameter of the moon is 3.48 0 6 m, and its mean distance from
More informationPhysics 41, Winter 1998 Lab 1 - The Current Balance. Theory
Physics 41, Winter 1998 Lab 1 - The Current Balance Theory Consider a point at a perpendicular distance d from a long straight wire carrying a current I as shown in figure 1. If the wire is very long compared
More informationEXPERIMENT 11 UV/VIS Spectroscopy and Spectrophotometry: Spectrophotometric Analysis of Potassium Permanganate Solutions.
EXPERIMENT 11 UV/VIS Spectroscopy and Spectrophotometry: Spectrophotometric Analysis of Potassium Permanganate Solutions. Outcomes After completing this experiment, the student should be able to: 1. Prepare
More informationModeling the Expanding Universe
H9 Modeling the Expanding Universe Activity H9 Grade Level: 8 12 Source: This activity is produced by the Universe Forum at NASA s Office of Space Science, along with their Structure and Evolution of the
More information9/16 Optics 1 /11 GEOMETRIC OPTICS
9/6 Optics / GEOMETRIC OPTICS PURPOSE: To review the basics of geometric optics and to observe the function of some simple and compound optical devices. APPARATUS: Optical bench, lenses, mirror, target
More informationQuantum Phenomena and the Theory of Quantum Mechanics
Quantum Phenomena and the Theory of The Mechanics of the Very Small Waseda University, SILS, Introduction to History and Philosophy of Science . Two Dark Clouds In 1900 at a Friday Evening lecture at the
More information3 - Atomic Absorption Spectroscopy
3 - Atomic Absorption Spectroscopy Introduction Atomic-absorption (AA) spectroscopy uses the absorption of light to measure the concentration of gas-phase atoms. Since samples are usually liquids or solids,
More information2. Spin Chemistry and the Vector Model
2. Spin Chemistry and the Vector Model The story of magnetic resonance spectroscopy and intersystem crossing is essentially a choreography of the twisting motion which causes reorientation or rephasing
More informationObjectives. PAM1014 Introduction to Radiation Physics. Constituents of Atoms. Atoms. Atoms. Atoms. Basic Atomic Theory
PAM1014 Introduction to Radiation Physics Basic Atomic Theory Objectives Introduce and Molecules The periodic Table Electronic Energy Levels Atomic excitation & de-excitation Ionisation Molecules Constituents
More informationDO PHYSICS ONLINE FROM QUANTA TO QUARKS QUANTUM (WAVE) MECHANICS
DO PHYSICS ONLINE FROM QUANTA TO QUARKS QUANTUM (WAVE) MECHANICS Quantum Mechanics or wave mechanics is the best mathematical theory used today to describe and predict the behaviour of particles and waves.
More information1051-232 Imaging Systems Laboratory II. Laboratory 4: Basic Lens Design in OSLO April 2 & 4, 2002
05-232 Imaging Systems Laboratory II Laboratory 4: Basic Lens Design in OSLO April 2 & 4, 2002 Abstract: For designing the optics of an imaging system, one of the main types of tools used today is optical
More informationPHYS 222 Spring 2012 Final Exam. Closed books, notes, etc. No electronic device except a calculator.
PHYS 222 Spring 2012 Final Exam Closed books, notes, etc. No electronic device except a calculator. NAME: (all questions with equal weight) 1. If the distance between two point charges is tripled, the
More informationGeometric Optics Converging Lenses and Mirrors Physics Lab IV
Objective Geometric Optics Converging Lenses and Mirrors Physics Lab IV In this set of lab exercises, the basic properties geometric optics concerning converging lenses and mirrors will be explored. The
More informationPHYA2. General Certificate of Education Advanced Subsidiary Examination June 2010. Mechanics, Materials and Waves
Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials Physics A Unit 2 For this paper you must have: a ruler a calculator a Data and Formulae Booklet.
More informationHello and Welcome to this presentation on LED Basics. In this presentation we will look at a few topics in semiconductor lighting such as light
Hello and Welcome to this presentation on LED Basics. In this presentation we will look at a few topics in semiconductor lighting such as light generation from a semiconductor material, LED chip technology,
More informationElectrons in Atoms & Periodic Table Chapter 13 & 14 Assignment & Problem Set
Electrons in Atoms & Periodic Table Name Warm-Ups (Show your work for credit) Date 1. Date 2. Date 3. Date 4. Date 5. Date 6. Date 7. Date 8. Electrons in Atoms & Periodic Table 2 Study Guide: Things You
More informationMain properties of atoms and nucleus
Main properties of atoms and nucleus. Atom Structure.... Structure of Nuclei... 3. Definition of Isotopes... 4. Energy Characteristics of Nuclei... 5. Laws of Radioactive Nuclei Transformation... 3. Atom
More informationChemistry 111 Lab: Intro to Spectrophotometry Page E-1
Chemistry 111 Lab: Intro to Spectrophotometry Page E-1 SPECTROPHOTOMETRY Absorption Measurements & their Application to Quantitative Analysis study of the interaction of light (or other electromagnetic
More informationBoardworks AS Physics
Boardworks AS Physics Vectors 24 slides 11 Flash activities Prefixes, scalars and vectors Guide to the SI unit prefixes of orders of magnitude Matching powers of ten to their SI unit prefixes Guide to
More informationInfrared Spectroscopy: Theory
u Chapter 15 Infrared Spectroscopy: Theory An important tool of the organic chemist is Infrared Spectroscopy, or IR. IR spectra are acquired on a special instrument, called an IR spectrometer. IR is used
More informationForce on Moving Charges in a Magnetic Field
[ Assignment View ] [ Eðlisfræði 2, vor 2007 27. Magnetic Field and Magnetic Forces Assignment is due at 2:00am on Wednesday, February 28, 2007 Credit for problems submitted late will decrease to 0% after
More informationIntroduction to Geiger Counters
Introduction to Geiger Counters A Geiger counter (Geiger-Muller tube) is a device used for the detection and measurement of all types of radiation: alpha, beta and gamma radiation. Basically it consists
More informationAfter a wave passes through a medium, how does the position of that medium compare to its original position?
Light Waves Test Question Bank Standard/Advanced Name: Question 1 (1 point) The electromagnetic waves with the highest frequencies are called A. radio waves. B. gamma rays. C. X-rays. D. visible light.
More informationProcedure: Geometrical Optics. Theory Refer to your Lab Manual, pages 291 294. Equipment Needed
Theory Refer to your Lab Manual, pages 291 294. Geometrical Optics Equipment Needed Light Source Ray Table and Base Three-surface Mirror Convex Lens Ruler Optics Bench Cylindrical Lens Concave Lens Rhombus
More informationMASS DEFECT AND BINDING ENERGY
MASS DEFECT AND BINDING ENERGY The separate laws of Conservation of Mass and Conservation of Energy are not applied strictly on the nuclear level. It is possible to convert between mass and energy. Instead
More informationX-ray Production. Target Interactions. Principles of Imaging Science I (RAD119) X-ray Production & Emission
Principles of Imaging Science I (RAD119) X-ray Production & Emission X-ray Production X-rays are produced inside the x-ray tube when high energy projectile electrons from the filament interact with the
More informationLab 9: The Acousto-Optic Effect
Lab 9: The Acousto-Optic Effect Incoming Laser Beam Travelling Acoustic Wave (longitudinal wave) O A 1st order diffracted laser beam A 1 Introduction qb d O 2qb rarefractions compressions Refer to Appendix
More informationOrigins of the Cosmos Summer 2016. Pre-course assessment
Origins of the Cosmos Summer 2016 Pre-course assessment In order to grant two graduate credits for the workshop, we do require you to spend some hours before arriving at Penn State. We encourage all of
More informationExperiment 2 - Grating Spectrometer
Experiment 2 - Grating Spectrometer References: Optics by Eugene Hecht. Section 10.2.8 contains a good discussion of gratings and grating spectroscopy. Quantum Physics of Atoms, Molecules, Solids, Nuclei,
More informationCopyright 1999 2010 by Mark Brandt, Ph.D. 12
Introduction to Absorbance Spectroscopy A single beam spectrophotometer is comprised of a light source, a monochromator, a sample holder, and a detector. An ideal instrument has a light source that emits
More informationPHOTOELECTRIC EFFECT AND DUAL NATURE OF MATTER AND RADIATIONS
PHOTOELECTRIC EFFECT AND DUAL NATURE OF MATTER AND RADIATIONS 1. Photons 2. Photoelectric Effect 3. Experimental Set-up to study Photoelectric Effect 4. Effect of Intensity, Frequency, Potential on P.E.
More informationBritish Physics Olympiad
1 British Physics Olympiad Paper 3. 2005 Monday 28 February 2005. Time allowed 3hrs plus 15 minutes reading time. All questions should be attempted. Question 1 carries 40 marks, the other questions 20
More informationAlpy guiding User Guide. Olivier Thizy (olivier.thizy@shelyak.com) François Cochard (francois.cochard@shelyak.com)
Alpy guiding User Guide Olivier Thizy (olivier.thizy@shelyak.com) François Cochard (francois.cochard@shelyak.com) DC0017A : april 2013 Alpy guiding module User Guide Olivier Thizy (olivier.thizy@shelyak.com)
More informationSpectra of Lights: An Interactive Demonstration with Diffraction Gratings
Grades: 4 th 12 th grade Purpose: Students will explore the properties of different types of light bulbs using diffraction grating glasses to reveal the light s unique spectra or fingerprint. The goal
More informationFigure 1.1 Vector A and Vector F
CHAPTER I VECTOR QUANTITIES Quantities are anything which can be measured, and stated with number. Quantities in physics are divided into two types; scalar and vector quantities. Scalar quantities have
More informationCalculating particle properties of a wave
Calculating particle properties of a wave A light wave consists of particles (photons): The energy E of the particle is calculated from the frequency f of the wave via Planck: E = h f (1) A particle can
More informationElectron Charge to Mass Ratio Matthew Norton, Chris Bush, Brian Atinaja, Becker Steven. Norton 0
Electron Charge to Mass Ratio Matthew Norton, Chris Bush, Brian Atinaja, Becker Steven Norton 0 Norton 1 Abstract The electron charge to mass ratio was an experiment that was used to calculate the ratio
More informationINTERFERENCE OBJECTIVES PRE-LECTURE. Aims
53 L4 INTERFERENCE Aims OBJECTIVES When you have finished this chapter you should understand how the wave model of light can be used to explain the phenomenon of interference. You should be able to describe
More informationName Class Date Laboratory Investigation 4B Chapter 4: Cell Structure
Name Class Date Laboratory Investigation 4B Chapter 4: Cell Structure The Microscope: A Tool of the Scientist You may refer to pages 66-67, 72-73 in your textbook for a general discussion of microscopes.
More informationE/M Experiment: Electrons in a Magnetic Field.
E/M Experiment: Electrons in a Magnetic Field. PRE-LAB You will be doing this experiment before we cover the relevant material in class. But there are only two fundamental concepts that you need to understand.
More informationSpectrophotometry and the Beer-Lambert Law: An Important Analytical Technique in Chemistry
Spectrophotometry and the Beer-Lambert Law: An Important Analytical Technique in Chemistry Jon H. Hardesty, PhD and Bassam Attili, PhD Collin College Department of Chemistry Introduction: In the last lab
More informationAesthetic Plus LASER TRAINING MANUAL FOR MEDICAL PROFESSIONALS. presents
Aesthetic Plus presents LASER TRAINING MANUAL FOR MEDICAL PROFESSIONALS INTRODUCTION More than ever before, people are turning to laser esthetics for cosmetic purposes. This is because lasers offer a number
More information