2.) An overhead projector forms an image of a transparency on a screen:
|
|
- Susanna Butler
- 6 years ago
- Views:
Transcription
1 1.) You have measured the wavelength λ of a spectral lamp using a diffraction grating and the relation λ = d sin Θ. Your uncertainty in the grating spacing d is 0.5% and your uncertainty in your angle measurement is 1%. Write an expression for the uncertainty in λ. If Θ = 30 degrees, what is the uncertainty in λ, and in improving your measurement, should you concentrate on reducing the grating or angle uncertainty? (30 pts.) σ λ λ = σ d d λ + σ θ θ = σ d d sin θ + σ θ d cos θ σ λ λ = σ d d + σ θ cot θ = (0.005) + 3(0.01) θ 1.8% uncertainty in the wavelength Clearly the uncertainty in angle is dominant..) An overhead projector forms an image of a transparency on a screen: If the screen is moved closer to the projector, how must the lens of the projector be moved? (up, down, unchanged). (0 pts.) UP 3.) A parallel beam of light is sent through an aquarium. If a convex glass lens is held in the water, it focuses the beam 1. closer to the lens than. at the same position as 3. farther from the lens than if the lens were outside the water. (0 pts.) FARTHER 1
2 4.) A fish swims below the water at point P. You are looking at the fish at point O. Drawing some typical rays, indicate on the drawing a point Q where the fish will appear to you to be located. (35 pts.) O Q P Image appears above the fish in the water 5.) The human eye is a compound lens system, which we will approximate with the following schematic: Cornea Lens Retina The cornea has a 8 mm focal length, the distance between the cornea and the lens is 4 mm, and the distance from the cornea to the retina is mm. If an object is placed at infinity, what is the necessary focal length of the lens to form an image on the retina. If the object is placed at 1m, what is the necessary lens focal length? (45 pts.) S obj1 =infinity; => s im1 = 8 mm. Then s obj = -4mm and s im = 18 mm so 1/f = 1/18 1/4 -> f = 7 mm s obj1 = 1000mm s ima = (1/8-1/1000) -1 = 8.8mm then s obj = -4.8 mm 1/f = 1/18-1/4.8 -> f = 65.6 mm
3 6.) You are hired by a scuba diving company to monitor the oxygen content in scuba tanks, fixing it at 0% O and 80% N. Describe an optical method to determine the gas content. Be quantitative give numbers to show that the technique is viable. Draw diagrams if needed. The index of refraction of O at STP (P=1 atm; T = 0 C) for red light is , and for N is (75 pts.) Hint: since the differences in n are quite small, think interferometers. Possible solution: put a gas cell in one arm of Michelson interferometer. Measure number of fringes that go by output as gas is put into cell. Gas cell Pick cell length L = 10 cm change in optical path length due to gas = (%O n O + %N n N ) 0 cm = ((.7 X 10-4 )%O + (3.0X 10-4 )%N )0 cm No. of fringes = ((.7 X 10-4 )%O + (3.0X 10-4 )%N )0 cm/633 X 10-7 cm = (86) %O + (94) %N so a 1% change in mixture will result in a shift of.01 (86) -.01 (94) =.08 fringes. 3
4 7.) Blue light of wavelength λ passes through a single slit of width a forming a diffraction pattern on a screen. If the blue light is replaced by red light of wavelength λ, the original diffraction pattern is reproduced if the slit width is changed to 1. a/4.. a/. 3. No change is necessary. 4. a. 5. 4a. 6. There is no width that can reproduce the original pattern. (0 pts.) 8.) An optical isolator is used to prevent reflections off surfaces entering back into a laser. It uses a crystal placed in a magnetic field that exhibits the Faraday effect: the sign of the optical activity depends on whether the light moves parallel or anti-parallel to the magnetic field, i.e. linearly polarized light rotates clockwise if the light is moving along the B field, and rotates counterclockwise if the light is traveling in the opposite direction. Describe a one-way device (an optical diode ) using polarizer(s) and a Faraday crystal that can transmit light in only one direction, suppressing light traveling in the other direction. (60 pts.) use a vertical polarizer followed by a Faraday crystal that gives 45 deg clockwise rotation, followed by a polarizer oriented at 45 degrees clockwise. Faraday crystal Vertically polarized light traveling from the left passes the 1 st polarizer, gets rotated by 45 degrees, is now aligned with the nd polarizer and passes through. Any light coming from the right is polarized at 45 deg by the polarizer, and is then rotated to be horizontal by the Faraday crystal and is blocked by the vertical polarizer giving one-way directionality. 4
5 9.) Consider the double-slit diffraction pattern such as you measured in the lab. If over one of the slits you place a transparent material with index of refraction n and thickness d such that (n-1)d = mλ/ where m is an integer, describe the resulting diffraction pattern, compared to the pattern without the material. (35 pts.) the material causes a 180 phase shift between the light emitted from the two slits, so that pattern looks the same, except the bright regions are dark and the dark regions bright. 10.) A rainbow is formed when sunlight undergoes two refractions and a reflection in a spherical water droplet as shown below. Show that the deviation angle Ω =180 α + 4β exhibits a maximum value when sinα = 4 n 3. (You may need to use d dθ Sin 1 θ = 1 1+ θ ). The index of refraction of water for red light is n r =1.33, and for blue light, n b = Find the maximum deviation angles for red and blue light, and describe how a rainbow is formed as a result. Where must the sun be located with respect to the viewer? Is total internal reflection necessary for this phenomena? (60 pts.) 5
6 sinα From Snell s law, β = sin 1. Then to find the maximum, take derivative of Ω with n respect to α. dω cosα = 0 = + 4 dα n 1 1 sin α n = 4 1 sin α n sin α then 4(1 sin α) = n sin α 4 n = 3sin α sinα = 4 n 3 for n= 1.33, sin α = 0.86, α= 59.5 deg; β = 40.4, and 4β α = 4.5 degrees for n = 1.34 sin α = 0.857, α= 59.0 deg; β = 39.8, and 4β α = 41. degrees so red light appears below the blue, when the sun is behind the viewer. There is actually no total internal reflection (if you take a ray at the edge of the drop, the curvature at the back of the drop means the angle is still less than the critical angle.) So the rainbow is visible due to the fraction of light that is reflected from the back of the drop, and does not need TIR. blue red 6
7 PRACTICAL EXAM be sure to enter lab bench numbers! Show your work- measurements and calculations. P1) The laser is being diffracted through some sort of mask. Measuring the diffraction pattern, determine the mask including the dimensions of the element(s) of the mask. Assume the wavelength of the laser is λ=633 nm. (50 pts.) Enter lab bench no. in the box The mask was a square array of squares with a 0.1 mm spacing : 0.05 mm mm P) Find the focal length of the lens. (50 pts.) Enter lab bench no. in the box The lens had a 4.0 cm focal length. 7
Wave Optics. April 11, 2014 Chapter 34 1
Wave Optics April 11, 2014 Chapter 34 1 Announcements! Exam tomorrow! We/Thu: Relativity! Last week: Review of entire course, no exam! Final exam Wednesday, April 30, 8-10 PM Location: WH B115 (Wells Hall)
More informationRecap: Refraction. Amount of bending depends on: - angle of incidence - refractive index of medium. (n 2 > n 1 ) n 2
Amount of bending depends on: - angle of incidence - refractive index of medium Recap: Refraction λ 1 (n 2 > n 1 ) Snell s Law: When light passes from one transparent medium to another, the rays will be
More informationModels of Light The wave model: The ray model: The photon model:
Models of Light The wave model: under many circumstances, light exhibits the same behavior as sound or water waves. The study of light as a wave is called wave optics. The ray model: The properties of
More informationStevens High School AP Physics II Work for Not-school
1. Gravitational waves are ripples in the fabric of space-time (more on this in the next unit) that travel at the speed of light (c = 3.00 x 10 8 m/s). In 2016, the LIGO (Laser Interferometry Gravitational
More informationWave Optics. April 9, 2014 Chapter 34 1
Wave Optics April 9, 2014 Chapter 34 1 Announcements! Remainder of this week: Wave Optics! Next week: Last of biweekly exams, then relativity! Last week: Review of entire course, no exam! Final exam Wednesday,
More informationINTERFERENCE. where, m = 0, 1, 2,... (1.2) otherwise, if it is half integral multiple of wavelength, the interference would be destructive.
1.1 INTERFERENCE When two (or more than two) waves of the same frequency travel almost in the same direction and have a phase difference that remains constant with time, the resultant intensity of light
More informationChapter 2: Wave Optics
Chapter : Wave Optics P-1. We can write a plane wave with the z axis taken in the direction of the wave vector k as u(,) r t Acos tkzarg( A) As c /, T 1/ and k / we can rewrite the plane wave as t z u(,)
More information1. (25pts) Answer the following questions. Justify your answers. (Use the space provided below and the next page)
. (25pts) Answer the following questions. Justify your answers. (Use the space provided below and the next page) a). An object (an arrow) is placed as shown in front of each of the following optical instruments.
More informationPhysics 1C, Summer 2011 (Session 1) Practice Midterm 2 (50+4 points) Solutions
Physics 1C, Summer 2011 (Session 1) Practice Midterm 2 (50+4 points) s Problem 1 (5x2 = 10 points) Label the following statements as True or False, with a one- or two-sentence explanation for why you chose
More informationThe location of the bright fringes can be found using the following equation.
What You Need to Know: In the past two labs we ve been thinking of light as a particle that reflects off of a surface or refracts into a medium. Now we are going to talk about light as a wave. If you take
More informationWaves & Oscillations
Physics 42200 Waves & Oscillations Lecture 41 Review Spring 2016 Semester Matthew Jones Final Exam Date:Tuesday, May 3 th Time:7:00 to 9:00 pm Room: Phys 112 You can bring one double-sided pages of notes/formulas.
More informationDispersion (23.5) Neil Alberding (SFU Physics) Physics 121: Optics, Electricity & Magnetism Spring / 17
Neil Alberding (SFU Physics) Physics 121: Optics, Electricity & Magnetism Spring 2010 1 / 17 Dispersion (23.5) The speed of light in a material depends on its wavelength White light is a mixture of wavelengths
More informationImage Formation by Refraction
Image Formation by Refraction If you see a fish that appears to be swimming close to the front window of the aquarium, but then look through the side of the aquarium, you ll find that the fish is actually
More informationAP* Optics Free Response Questions
AP* Optics Free Response Questions 1978 Q5 MIRRORS An object 6 centimeters high is placed 30 centimeters from a concave mirror of focal length 10 centimeters as shown above. (a) On the diagram above, locate
More informationTo determine the wavelength of laser light using single slit diffraction
9 To determine the wavelength of laser light using single slit diffraction pattern 91 Apparatus: Helium-Neon laser or diode laser, a single slit with adjustable aperture width, optical detector and power
More informationUNIT 102-9: INTERFERENCE AND DIFFRACTION
Name St.No. - Date(YY/MM/DD) / / Section Group # UNIT 102-9: INTERFERENCE AND DIFFRACTION Patterns created by interference of light in a thin film. OBJECTIVES 1. Understand the creation of double-slit
More informationReview Session 1. Dr. Flera Rizatdinova
Review Session 1 Dr. Flera Rizatdinova Summary of Chapter 23 Index of refraction: Angle of reflection equals angle of incidence Plane mirror: image is virtual, upright, and the same size as the object
More informationChapter 33 Continued Properties of Light. Law of Reflection Law of Refraction or Snell s Law Chromatic Dispersion Brewsters Angle
Chapter 33 Continued Properties of Light Law of Reflection Law of Refraction or Snell s Law Chromatic Dispersion Brewsters Angle Dispersion: Different wavelengths have different velocities and therefore
More informationCollege Physics B - PHY2054C
Young College - PHY2054C Wave Optics: 10/29/2014 My Office Hours: Tuesday 10:00 AM - Noon 206 Keen Building Outline Young 1 2 3 Young 4 5 Assume a thin soap film rests on a flat glass surface. Young Young
More informationMichelson Interferometer
Michelson Interferometer The Michelson interferometer uses the interference of two reflected waves The third, beamsplitting, mirror is partially reflecting ( half silvered, except it s a thin Aluminum
More informationChapter 32 Light: Reflection and Refraction. Copyright 2009 Pearson Education, Inc.
Chapter 32 Light: Reflection and Refraction Units of Chapter 32 The Ray Model of Light Reflection; Image Formation by a Plane Mirror Formation of Images by Spherical Mirrors Index of Refraction Refraction:
More informationElectricity & Optics
Physics 24100 Electricity & Optics Lecture 27 Chapter 33 sec. 7-8 Fall 2017 Semester Professor Koltick Clicker Question Bright light of wavelength 585 nm is incident perpendicularly on a soap film (n =
More informationChapter 8: Physical Optics
Chapter 8: Physical Optics Whether light is a particle or a wave had puzzled physicists for centuries. In this chapter, we only analyze light as a wave using basic optical concepts such as interference
More informationTextbook Reference: Physics (Wilson, Buffa, Lou): Chapter 24
AP Physics-B Physical Optics Introduction: We have seen that the reflection and refraction of light can be understood in terms of both rays and wave fronts of light. Light rays are quite compatible with
More informationConcepTest PowerPoints
ConcepTest PowerPoints Chapter 24 Physics: Principles with Applications, 6 th edition Giancoli 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for
More informationspecular diffuse reflection.
Lesson 8 Light and Optics The Nature of Light Properties of Light: Reflection Refraction Interference Diffraction Polarization Dispersion and Prisms Total Internal Reflection Huygens s Principle The Nature
More informationPHY 112: Light, Color and Vision. Lecture 11. Prof. Clark McGrew Physics D 134. Review for Exam. Lecture 11 PHY 112 Lecture 1
PHY 112: Light, Color and Vision Lecture 11 Prof. Clark McGrew Physics D 134 Review for Exam Lecture 11 PHY 112 Lecture 1 From Last Time Lenses Ray tracing a Convex Lens Announcements The midterm is Thursday
More informationChapter 37. Interference of Light Waves
Chapter 37 Interference of Light Waves Wave Optics Wave optics is a study concerned with phenomena that cannot be adequately explained by geometric (ray) optics These phenomena include: Interference Diffraction
More information2/26/2016. Chapter 23 Ray Optics. Chapter 23 Preview. Chapter 23 Preview
Chapter 23 Ray Optics Chapter Goal: To understand and apply the ray model of light. Slide 23-2 Chapter 23 Preview Slide 23-3 Chapter 23 Preview Slide 23-4 1 Chapter 23 Preview Slide 23-5 Chapter 23 Preview
More informationActivity 9.1 The Diffraction Grating
PHY385H1F Introductory Optics Practicals Day 9 Diffraction November 29, 2010 Please work in a team of 3 or 4 students. All members should find a way to contribute. Two members have a particular role, and
More informationDownloaded from UNIT 06 Optics
1 Mark UNIT 06 Optics Q1: A partially plane polarised beam of light is passed through a polaroid. Show graphically the variation of the transmitted light intensity with angle of rotation of the Polaroid.
More informationUnit 5.C Physical Optics Essential Fundamentals of Physical Optics
Unit 5.C Physical Optics Essential Fundamentals of Physical Optics Early Booklet E.C.: + 1 Unit 5.C Hwk. Pts.: / 25 Unit 5.C Lab Pts.: / 20 Late, Incomplete, No Work, No Units Fees? Y / N 1. Light reflects
More informationChapter 24. Wave Optics
Chapter 24 Wave Optics Diffraction Huygen s principle requires that the waves spread out after they pass through slits This spreading out of light from its initial line of travel is called diffraction
More informationUNIT VI OPTICS ALL THE POSSIBLE FORMULAE
58 UNIT VI OPTICS ALL THE POSSIBLE FORMULAE Relation between focal length and radius of curvature of a mirror/lens, f = R/2 Mirror formula: Magnification produced by a mirror: m = - = - Snell s law: 1
More informationChapter 37. Wave Optics
Chapter 37 Wave Optics Wave Optics Wave optics is a study concerned with phenomena that cannot be adequately explained by geometric (ray) optics. Sometimes called physical optics These phenomena include:
More informationRefraction Section 1. Preview. Section 1 Refraction. Section 2 Thin Lenses. Section 3 Optical Phenomena. Houghton Mifflin Harcourt Publishing Company
Refraction Section 1 Preview Section 1 Refraction Section 2 Thin Lenses Section 3 Optical Phenomena Refraction Section 1 TEKS The student is expected to: 7D investigate behaviors of waves, including reflection,
More informationOptics Homework. Assignment #2. Assignment #1. Textbook: Read Section 23-1 and 23-2
Optics Homework Assignment #1 Textbook: Read Section 22-3 (Honors only) Textbook: Read Section 23-1 Online: Reflection Lesson 1a: * problems are for all students ** problems are for honors physics 1. *
More informationPHYS2002 Spring 2012 Practice Exam 3 (Chs. 25, 26, 27) Constants
PHYS00 Spring 01 Practice Exam 3 (Chs. 5, 6, 7) Constants m m q q p e ε = 8.85 o o p e = 1.67 = 9.11 7 9 7 31 = + 1.60 = 1.60 μ = 4π k = 8.99 g = 9.8 m/s 1 kg 19 19 C kg T m/a N m C / N m C / C 1. A convex
More informationAP Physics Problems -- Waves and Light
AP Physics Problems -- Waves and Light 1. 1975-4 (Physical Optics) a. Light of a single wavelength is incident on a single slit of width w. (w is a few wavelengths.) Sketch a graph of the intensity as
More informationThe liquid s index of refraction is. v liquid = nm = = 460 nm 1.38
HMWK 5 Ch 17: P 6, 11, 30, 31, 34, 42, 50, 56, 58, 60 Ch 18: P 7, 16, 22, 27, 28, 30, 51, 52, 59, 61 Ch. 17 P17.6. Prepare: The laser beam is an electromagnetic wave that travels with the speed of light.
More informationDr. Quantum. General Physics 2 Light as a Wave 1
Dr. Quantum General Physics 2 Light as a Wave 1 The Nature of Light When studying geometric optics, we used a ray model to describe the behavior of light. A wave model of light is necessary to describe
More informationRay Optics. Lecture 23. Chapter 23. Physics II. Course website:
Lecture 23 Chapter 23 Physics II Ray Optics Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Let s finish talking about a diffraction grating Diffraction Grating Let s improve (more
More informationInterference of Light
Interference of Light Review: Principle of Superposition When two or more waves interact they interfere. Wave interference is governed by the principle of superposition. The superposition principle says
More information2t = (m+ 1 /2) λ = (m+ 1 /2)(λ/n); min, m = 0, 1, 2,... n1 < n2 < n3 2t = m λ = m(λ/n); min, m = 0, 1, 2,... n1 < n2 > n3
PHY1160C Exam #3 July 8, 1997 Possibly useful information: For reflection, θinc = θref For refraction, image equation apparent depth Young s Double Slit: n1 sin θ1 = n2 sin θ2 n = c/v M = h i = d i h o
More informationLecture 39. Chapter 37 Diffraction
Lecture 39 Chapter 37 Diffraction Interference Review Combining waves from small number of coherent sources double-slit experiment with slit width much smaller than wavelength of the light Diffraction
More informationPHYS 1402 DIFFRACTION AND INTERFERENCE OF LIGHT: MEASURE THE WAVELENGTH OF LIGHT
PHYS 1402 DIFFRACTION AND INTERFERENCE OF LIGHT: MEASURE THE WAVELENGTH OF LIGHT I. OBJECTIVE The objective of this experiment is to observe the interference pattern from a double slit and a diffraction
More informationLight, Lenses, Mirrors
Light, Lenses, Mirrors Optics Light is Dual in nature- has both particle and wave properties. Light = range of frequencies of electromagnetic waves that stimulates the eye s retina Facts About Light It
More informationPhysical Optics. 1 st year physics laboratories. University of Ottawa.
Physical Optics 1 st year physics laboratories University of Ottawa https://uottawa.brightspace.com/d2l/home INTRODUCTION Physical optics deals with light as a wave which can bend around obstacles (diffraction)
More informationWaves & Oscillations
Physics 42200 Waves & Oscillations Lecture 42 Review Spring 2013 Semester Matthew Jones Final Exam Date:Tuesday, April 30 th Time:1:00 to 3:00 pm Room: Phys 112 You can bring two double-sided pages of
More informationCollege Physics 150. Chapter 25 Interference and Diffraction
College Physics 50 Chapter 5 Interference and Diffraction Constructive and Destructive Interference The Michelson Interferometer Thin Films Young s Double Slit Experiment Gratings Diffraction Resolution
More informationHigher -o-o-o- Past Paper questions o-o-o- 3.2 Refraction
Higher -o-o-o- Past Paper questions 2000-2010 -o-o-o- 3.2 Refraction 2000 Q27 A student is investigating the effect that a semicircular glass block has on a ray of monochromatic light. She observes that
More informationOPSE FINAL EXAM Fall CLOSED BOOK. Two pages (front/back of both pages) of equations are allowed.
CLOSED BOOK. Two pages (front/back of both pages) of equations are allowed. YOU MUST SHOW YOUR WORK. ANSWERS THAT ARE NOT JUSTIFIED WILL BE GIVEN ZERO CREDIT. ALL NUMERICAL ANSERS MUST HAVE UNITS INDICATED.
More informationLab 12 - Interference-Diffraction of Light Waves
Lab 12 - Interference-Diffraction of Light Waves Equipment and Safety: No special safety equipment is required for this lab. Do not look directly into the laser. Do not point the laser at other people.
More informationMidterm II Physics 9B Summer 2002 Session I
Midterm II Physics 9B Summer 00 Session I Name: Last 4 digits of ID: Total Score: ) Two converging lenses, L and L, are placed on an optical bench, 6 cm apart. L has a 0 cm focal length and is placed to
More informationChapter 24. Wave Optics
Chapter 24 Wave Optics Wave Optics The wave nature of light is needed to explain various phenomena Interference Diffraction Polarization The particle nature of light was the basis for ray (geometric) optics
More informationThe sources must be coherent. This means they emit waves with a constant phase with respect to each other.
CH. 24 Wave Optics The sources must be coherent. This means they emit waves with a constant phase with respect to each other. The waves need to have identical wavelengths. Can t be coherent without this.
More informationExperiment 1: Diffraction from a Single Slit
012-05880D Slit Accessory Experiment 1: Diffraction from a Single Slit Purpose Theory EQUIPMENT REQUIRED track and from the Basic Optics System (OS-8515) Diode Laser (OS-8525) Single Slit Disk (OS-8523)
More informationindex of refraction-light speed
AP Physics Study Guide Chapters 22, 23, 24 Reflection, Refraction and Interference Name Write each of the equations specified below, include units for all quantities. Law of Reflection Lens-Mirror Equation
More informationOptics Vac Work MT 2008
Optics Vac Work MT 2008 1. Explain what is meant by the Fraunhofer condition for diffraction. [4] An aperture lies in the plane z = 0 and has amplitude transmission function T(y) independent of x. It is
More informationHomework Set 3 Due Thursday, 07/14
Homework Set 3 Due Thursday, 07/14 Problem 1 A room contains two parallel wall mirrors, on opposite walls 5 meters apart. The mirrors are 8 meters long. Suppose that one person stands in a doorway, in
More informationPhysical Optics. You can observe a lot just by watching. Yogi Berra ( )
Physical Optics You can observe a lot just by watching. Yogi Berra (1925-2015) OBJECTIVES To observe some interference and diffraction phenomena with visible light. THEORY In a previous experiment you
More informationPHYSICS 213 PRACTICE EXAM 3*
PHYSICS 213 PRACTICE EXAM 3* *The actual exam will contain EIGHT multiple choice quiz-type questions covering concepts from lecture (16 points), ONE essay-type question covering an important fundamental
More informationDiffraction. Single-slit diffraction. Diffraction by a circular aperture. Chapter 38. In the forward direction, the intensity is maximal.
Diffraction Chapter 38 Huygens construction may be used to find the wave observed on the downstream side of an aperture of any shape. Diffraction The interference pattern encodes the shape as a Fourier
More informationPhysics 123 Optics Review
Physics 123 Optics Review I. Definitions & Facts concave converging convex diverging real image virtual image real object virtual object upright inverted dispersion nearsighted, farsighted near point,
More informationPhysics Midterm I
Phys121 - February 6, 2009 1 Physics 121 - Midterm I Last Name First Name Student Number Signature Tutorial T.A. (circle one): Ricky Chu Firuz Demir Maysam Emadi Alireza Jojjati Answer ALL 10 questions.
More informationOptics: Laser Light Show Student Advanced Version
Optics: Laser Light Show Student Advanced Version In this lab, you will explore the behavior of light. You will observe reflection and refraction of a laser beam in jello, and use a diffraction pattern
More informationChapter 24. Wave Optics
Chapter 24 Wave Optics hitt1 An upright object is located a distance from a convex mirror that is less than the mirror's focal length. The image formed by the mirror is (1) virtual, upright, and larger
More informationPhysical or wave optics
Physical or wave optics In the last chapter, we have been studying geometric optics u light moves in straight lines u can summarize everything by indicating direction of light using a ray u light behaves
More informationPhysics 214 Midterm Fall 2003 Form A
1. A ray of light is incident at the center of the flat circular surface of a hemispherical glass object as shown in the figure. The refracted ray A. emerges from the glass bent at an angle θ 2 with respect
More informationMathematics of Rainbows
Mathematics of Rainbows MATH 171 Freshman Seminar for Mathematics Majors J. Robert Buchanan Department of Mathematics 2010 What is a Rainbow? A rainbow is created by water, sunlight, and the principles
More informationIntermediate Physics PHYS102
Intermediate Physics PHYS102 Dr Richard H. Cyburt Assistant Professor of Physics My office: 402c in the Science Building My phone: (304) 384-6006 My email: rcyburt@concord.edu My webpage: www.concord.edu/rcyburt
More informationIntroduction: Experiment 1: Wave Properties of Light
Natural Order Properties of Light Lab Introduction: In this lab we will explore the wave and particle nature of light. In the first experiment we will measure the diffraction pattern of light as it passes
More informationControl of Light. Emmett Ientilucci Digital Imaging and Remote Sensing Laboratory Chester F. Carlson Center for Imaging Science 8 May 2007
Control of Light Emmett Ientilucci Digital Imaging and Remote Sensing Laboratory Chester F. Carlson Center for Imaging Science 8 May 007 Spectro-radiometry Spectral Considerations Chromatic dispersion
More informationAll forms of EM waves travel at the speed of light in a vacuum = 3.00 x 10 8 m/s This speed is constant in air as well
Pre AP Physics Light & Optics Chapters 14-16 Light is an electromagnetic wave Electromagnetic waves: Oscillating electric and magnetic fields that are perpendicular to the direction the wave moves Difference
More informationReflections from a thin film
Reflections from a thin film l Part of the wave reflects from the top surface and part from the bottom surface l The part that reflects from the top surface has a 180 o phase change while the part that
More informationIf these are waves of light then we could say that constructive interference
What You Need to Know: In the past two labs weve been thinking of light as a particle that reflects off of a surface or refracts into a medium. Now we are going to talk about light as a wave. If you take
More informationLIGHT & OPTICS. Fundamentals of Physics 2112 Chapter 34 1
LIGHT & OPTICS Fundamentals of Physics 22 Chapter 34 Chapter 34 Images. Two Types of Images 2. Plane Mirrors 3. Spherical Mirrors 4. Images from Spherical Mirrors 5. Spherical Refracting Surfaces 6. Thin
More informationCAUTION: NEVER LOOK DIRECTLY INTO THE LASER BEAM.
LABORATORY 12 PHYSICAL OPTICS I: INTERFERENCE AND DIFFRACTION Objectives To be able to explain demonstrate understanding of the dependence of a double slit interference pattern on slit width, slit separation
More informationInterference and Diffraction of Light
Name Date Time to Complete h m Partner Course/ Section / Grade Interference and Diffraction of Light Reflection by mirrors and refraction by prisms and lenses can be analyzed using the simple ray model
More informationChapter 12 Notes: Optics
Chapter 12 Notes: Optics How can the paths traveled by light rays be rearranged in order to form images? In this chapter we will consider just one form of electromagnetic wave: visible light. We will be
More informationOPTICS MIRRORS AND LENSES
Downloaded from OPTICS MIRRORS AND LENSES 1. An object AB is kept in front of a concave mirror as shown in the figure. (i)complete the ray diagram showing the image formation of the object. (ii) How will
More informationFormulas of possible interest
Name: PHYS 3410/6750: Modern Optics Final Exam Thursday 15 December 2011 Prof. Bolton No books, calculators, notes, etc. Formulas of possible interest I = ɛ 0 c E 2 T = 1 2 ɛ 0cE 2 0 E γ = hν γ n = c/v
More informationPhys 104: College Physics EXAM 3
Phys 14: College Physics Key Name I. VERY SHORT ANSWER: EXAM 3 FRIDAY, APRIL 16, 21 1) 3 A cat plays with a butterfly at dawn and looks directly up at light from the sun rising in the east that has been
More informationInterference of Light
Lecture 22 Chapter 22 Physics II Wave Optics: Interference of Light Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Wave Motion Interference Models of Light (Water waves are Easy
More informationInterference of Light
Interference of Light Young s Double-Slit Experiment If light is a wave, interference effects will be seen, where one part of wavefront can interact with another part. One way to study this is to do a
More informationTEAMS National Competition High School Version Photometry 25 Questions
TEAMS National Competition High School Version Photometry 25 Questions Page 1 of 14 Telescopes and their Lenses Although telescopes provide us with the extraordinary power to see objects miles away, the
More informationOptics and Images. Lenses and Mirrors. Matthew W. Milligan
Optics and Images Lenses and Mirrors Light: Interference and Optics I. Light as a Wave - wave basics review - electromagnetic radiation II. Diffraction and Interference - diffraction, Huygen s principle
More informationChapter 82 Example and Supplementary Problems
Chapter 82 Example and Supplementary Problems Nature of Polarized Light: 1) A partially polarized beam is composed of 2.5W/m 2 of polarized and 4.0W/m 2 of unpolarized light. Determine the degree of polarization
More information4.5 Images Formed by the Refraction of Light
Figure 89: Practical structure of an optical fibre. Absorption in the glass tube leads to a gradual decrease in light intensity. For optical fibres, the glass used for the core has minimum absorption at
More informationChapter 18 Ray Optics
Chapter 18 Ray Optics Chapter Goal: To understand and apply the ray model of light. Slide 18-1 Chapter 18 Preview Looking Ahead Text p. 565 Slide 18-2 Wavefronts and Rays When visible light or other electromagnetic
More information22.4. (a) (b) (c) (d)
mλl 22.2. Because ym = increasing λ and L increases the fringe spacing. Increasing d decreases the fringe d spacing. Submerging the experiment in water decreases λ and decreases the fringe spacing. So
More informationChapter 7: Geometrical Optics
Chapter 7: Geometrical Optics 7. Reflection at a Spherical Surface L.O 7.. State laws of reflection Laws of reflection state: L.O The incident ray, the reflected ray and the normal all lie in the same
More informationLesson Plan Outline for Rainbow Science
Lesson Plan Outline for Rainbow Science Lesson Title: Rainbow Science Target Grades: Middle and High School Time Required: 120 minutes Background Information for Teachers and Students Rainbows are fascinating
More informationUniversity Physics (Prof. David Flory) Chapt_37 Monday, August 06, 2007
Name: Date: 1. If we increase the wavelength of the light used to form a double-slit diffraction pattern: A) the width of the central diffraction peak increases and the number of bright fringes within
More informationChapter 38. Diffraction Patterns and Polarization
Chapter 38 Diffraction Patterns and Polarization Diffraction Light of wavelength comparable to or larger than the width of a slit spreads out in all forward directions upon passing through the slit This
More informationCfE Higher Physics. Particles and Waves
Wallace Hall Academy CfE Higher Physics Particles and Waves Exam Questions Part 2 P&W: Exam Questions Part 2 Version 2013 Contents Section 5: Interference and Diffraction 1 Section 6: Refraction of Light
More informationOptics Final Exam Name
Instructions: Place your name on all of the pages. Do all of your work in this booklet. Do not tear off any sheets. Show all of your steps in the problems for full credit. Be clear and neat in your work.
More information25-1 Interference from Two Sources
25-1 Interference from Two Sources In this chapter, our focus will be on the wave behavior of light, and on how two or more light waves interfere. However, the same concepts apply to sound waves, and other
More informationPhys102 Lecture 21/22 Light: Reflection and Refraction
Phys102 Lecture 21/22 Light: Reflection and Refraction Key Points The Ray Model of Light Reflection and Mirrors Refraction, Snell s Law Total internal Reflection References 23-1,2,3,4,5,6. The Ray Model
More informationTEAMS National Competition High School Version Photometry Solution Manual 25 Questions
TEAMS National Competition High School Version Photometry Solution Manual 25 Questions Page 1 of 15 Photometry Questions 1. When an upright object is placed between the focal point of a lens and a converging
More information