# Light: Geometric Optics (Chapter 23)

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 Light: Geometric Optics (Chapter 23) Units of Chapter 23 The Ray Model of Light Reflection; Image Formed by a Plane Mirror Formation of Images by Spherical Index of Refraction Refraction: Snell s Law 1

2 Units of Chapter 23 Total Internal Reflection; Fiber Optics Thin Lenses; Ray Tracing The Thin Lens Equation; Magnification Combinations of Lenses Lensmaker s Equation 23.1 The Ray Model of Light Light very often travels in straight lines. We represent light using rays, which are straight lines emanating from an object. This is an idealization, but is very useful for geometric optics. 2

3 23.2 Reflection; Image Formation by a Plane Mirror Law of reflection: the angle of reflection (that the ray makes with the normal to a surface) equals the angle of incidence Reflection; Image Formation by a Plane Mirror When light reflects from a rough surface, the law of reflection still holds, but the angle of incidence varies. This is called diffuse reflection. 3

4 23.2 Reflection; Image Formation by a Plane Mirror With diffuse reflection, your eye sees reflected light at all angles. With specular reflection (from a mirror), your eye must be in the correct position Reflection; Image Formation by a Plane Mirror What you see when you look into a plane (flat) mirror is an image, which appears to be behind the mirror. 4

5 23.2 Reflection; Image Formation by a Plane Mirror This is called a virtual image, as the light does not go through it. The distance of the image from the mirror is equal to the distance of the object from the mirror Formation of Images by Spherical Spherical mirrors are shaped like sections of a sphere, and may be reflective on either the inside (concave) or outside (convex). 5

6 23.3 Formation of Images by Spherical Rays coming from a faraway object are effectively parallel Formation of Images by Spherical Parallel rays striking a spherical mirror do not all converge at exactly the same place if the curvature of the mirror is large; this is called spherical aberration. 6

7 23.3 Formation of Images by Spherical If the curvature is small, the focus is much more precise; the focal point is where the rays converge Formation of Images by Spherical Using geometry, we find that the focal length is half the radius of curvature: (23-1) Spherical aberration can be avoided by using a parabolic reflector; these are more difficult and expensive to make, and so are used only when necessary, such as in research telescopes. 7

8 23.3 Formation of Images by Spherical We use ray diagrams to determine where an image will be. For mirrors, we use three key rays, all of which begin on the object: 1. A ray parallel to the axis; after reflection it passes through the focal point 2. A ray through the focal point; after reflection it is parallel to the axis 3. A ray perpendicular to the mirror; it reflects back on itself 23.3 Formation of Images by Spherical 8

9 23.3 Formation of Images by Spherical The intersection of these three rays gives the position of the image of that point on the object. To get a full image, we can do the same with other points (two points suffice for many purposes) Formation of Images by Spherical Geometrically, we can derive an equation that relates the object distance, image distance, and focal length of the mirror: (23-2) 9

10 23.3 Formation of Images by Spherical We can also find the magnification (ratio of image height to object height). (23-3) The negative sign indicates that the image is inverted. This object is between the center of curvature and the focal point, and its image is larger, inverted, and real Formation of Images by Spherical If an object is outside the center of curvature of a concave mirror, its image will be inverted, smaller, and real. 10

11 23.3 Formation of Images by Spherical If an object is inside the focal point, its image will be upright, larger, and virtual Formation of Images by Spherical For a convex mirror, the image is always virtual, upright, and smaller. 11

12 23.3 Formation of Images by Spherical Problem Solving: Spherical 1. Draw a ray diagram; the image is where the rays intersect. 2. Apply the mirror and magnification equations. 3. Sign conventions: if the object, image, or focal point is on the reflective side of the mirror, its distance is positive, and negative otherwise. Magnification is positive if image is upright, negative otherwise. 4. Check that your solution agrees with the ray diagram Index of Refraction In general, light slows somewhat when traveling through a medium. The index of refraction of the medium is the ratio of the speed of light in vacuum to the speed of light in the medium: (23-4) 12

13 23.5 Refraction: Snell s Law Light changes direction when crossing a boundary from one medium to another. This is called refraction, and the angle the outgoing ray makes with the normal is called the angle of refraction Refraction: Snell s Law Refraction is what makes objects halfsubmerged in water look odd. 13

14 23.5 Refraction: Snell s Law The angle of refraction depends on the indices of refraction, and is given by Snell s law: (23-5) 23.6 Total Internal Reflection; Fiber Optics If light passes into a medium with a smaller index of refraction, the angle of refraction is larger. There is an angle of incidence for which the angle of refraction will be 90 ; this is called the critical angle: (23-5) 14

15 23.6 Total Internal Reflection; Fiber Optics If the angle of incidence is larger than this, no transmission occurs. This is called total internal reflection Total Internal Reflection; Fiber Optics Binoculars often use total internal reflection; this gives true 100% reflection, which even the best mirror cannot do. 15

16 23.6 Total Internal Reflection; Fiber Optics Total internal reflection is also the principle behind fiber optics. Light will be transmitted along the fiber even if it is not straight. An image can be formed using multiple small fibers. Total Internal Reflection Light - Laser waterfall - total int reflect.asf 16

17 23.7 Thin Lenses; Ray Tracing Thin lenses are those whose thickness is small compared to their radius of curvature. They may be either converging (a) or diverging (b) Thin Lenses; Ray Tracing Parallel rays are brought to a focus by a converging lens (one that is thicker in the center than it is at the edge). 17

18 23.7 Thin Lenses; Ray Tracing A diverging lens (thicker at the edge than in the center) make parallel light diverge; the focal point is that point where the diverging rays would converge if projected back Thin Lenses; Ray Tracing The power of a lens is the inverse of its focal length. (23-7) Lens power is measured in diopters, D. 1 D = 1 m -1 18

19 23.7 Thin Lenses; Ray Tracing Ray tracing for thin lenses is similar to that for mirrors. We have three key rays: 1. This ray comes in parallel to the axis and exits through the focal point. 2. This ray comes in through the focal point and exits parallel to the axis. 3. This ray goes through the center of the lens and is undeflected Thin Lenses; Ray Tracing 19

20 23.7 Thin Lenses; Ray Tracing For a diverging lens, we can use the same three rays; the image is upright and virtual The Thin Lens Equation; Magnification The thin lens equation is the same as the mirror equation: (23-8) 20

21 23.8 The Thin Lens Equation; Magnification The sign conventions are slightly different: 1. The focal length is positive for converging lenses and negative for diverging. 2. The object distance is positive when the object is on the same side as the light entering the lens (not an issue except in compound systems); otherwise it is negative. 3. The image distance is positive if the image is on the opposite side from the light entering the lens; otherwise it is negative. 4. The height of the image is positive if the image is upright and negative otherwise The Thin Lens Equation; Magnification The magnification formula is also the same as that for a mirror: (23-9) The power of a lens is positive if it is converging and negative if it is diverging. 21

22 23.8 The Thin Lens Equation; Magnification Problem Solving: Thin Lenses 1. Draw a ray diagram. The image is located where the key rays intersect. 2. Solve for unknowns. 3. Follow the sign conventions. 4. Check that your answers are consistent with the ray diagram Combinations of Lenses In lens combinations, the image formed by the first lens becomes the object for the second lens (this is where object distances may be negative). 22

23 23.10 Lensmaker s Equation This useful equation relates the radii of curvature of the two lens surfaces, and the index of refraction, to the focal length. (23-10) Summary of Chapter 23 Light paths are called rays Index of refraction: Angle of reflection equals angle of incidence Plane mirror: image is virtual, upright, and the same size as the object Spherical mirror can be concave or convex Focal length of the mirror: 23

24 Mirror equation: Summary of Chapter 23 Magnification: Real image: light passes through it Virtual image: light does not pass through Summary of Chapter 23 Law of refraction (Snell s law): Total internal reflection occurs when angle of incidence is greater than critical angle: A converging lens focuses incoming parallel rays to a point 24

25 Summary of Chapter 23 A diverging lens spreads incoming rays so that they appear to come from a point Power of a lens: Thin lens equation: Magnification: Homework Chp 23 Problems: # 5, 15, 17, 29, 35, 43, 55, 25

### Light: Geometric Optics

Light: Geometric Optics 23.1 The Ray Model of Light Light very often travels in straight lines. We represent light using rays, which are straight lines emanating from an object. This is an idealization,

### AP Physics: Curved Mirrors and Lenses

The Ray Model of Light Light often travels in straight lines. We represent light using rays, which are straight lines emanating from an object. This is an idealization, but is very useful for geometric

### Light: Geometric Optics

Light: Geometric Optics The Ray Model of Light Light very often travels in straight lines. We represent light using rays, which are straight lines emanating from an object. This is an idealization, but

### Chapter 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:

### Lecture Outline Chapter 26. Physics, 4 th Edition James S. Walker. Copyright 2010 Pearson Education, Inc.

Lecture Outline Chapter 26 Physics, 4 th Edition James S. Walker Chapter 26 Geometrical Optics Units of Chapter 26 The Reflection of Light Forming Images with a Plane Mirror Spherical Mirrors Ray Tracing

### The Law of Reflection

If the surface off which the light is reflected is smooth, then the light undergoes specular reflection (parallel rays will all be reflected in the same directions). If, on the other hand, the surface

### Chapter 26 Geometrical Optics

Chapter 26 Geometrical Optics 26.1 The Reflection of Light 26.2 Forming Images With a Plane Mirror 26.3 Spherical Mirrors 26.4 Ray Tracing and the Mirror Equation 26.5 The Refraction of Light 26.6 Ray

### Chapter 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

### Physics 11 Chapter 18: Ray Optics

Physics 11 Chapter 18: Ray Optics "... Everything can be taken from a man but one thing; the last of the human freedoms to choose one s attitude in any given set of circumstances, to choose one s own way.

### Section 2 Flat Mirrors. Distinguish between specular and diffuse reflection of light. Apply the law of reflection for flat mirrors.

Section 2 Flat Mirrors Objectives Distinguish between specular and diffuse reflection of light. Apply the law of reflection for flat mirrors. Describe the nature of images formed by flat mirrors. Section

### PHYSICS. Chapter 34 Lecture FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E RANDALL D. KNIGHT

PHYSICS FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E Chapter 34 Lecture RANDALL D. KNIGHT Chapter 34 Ray Optics IN THIS CHAPTER, you will learn about and apply the ray model of light Slide 34-2

### Chapter 23. Geometrical Optics (lecture 1: mirrors) Dr. Armen Kocharian

Chapter 23 Geometrical Optics (lecture 1: mirrors) Dr. Armen Kocharian Reflection and Refraction at a Plane Surface The light radiate from a point object in all directions The light reflected from a plane

### Lecture Notes (Reflection & Mirrors)

Lecture Notes (Reflection & Mirrors) Intro: - plane mirrors are flat, smooth surfaces from which light is reflected by regular reflection - light rays are reflected with equal angles of incidence and reflection

### Essential Physics I. Lecture 13:

Essential Physics I E I Lecture 13: 11-07-16 Reminders No lecture: Monday 18th July (holiday) Essay due: Monday 25th July, 4:30 pm 2 weeks!! Exam: Monday 1st August, 4:30 pm Announcements 250 word essay

### The Reflection of Light

King Saud University College of Applied Studies and Community Service Department of Natural Sciences The Reflection of Light General Physics II PHYS 111 Nouf Alkathran nalkathran@ksu.edu.sa Outline Introduction

### Chapter 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

### Ch. 25 The Reflection of Light

Ch. 25 The Reflection of Light 25. Wave fronts and rays We are all familiar with mirrors. We see images because some light is reflected off the surface of the mirror and into our eyes. In order to describe

### 1. What is the law of reflection?

Name: Skill Sheet 7.A The Law of Reflection The law of reflection works perfectly with light and the smooth surface of a mirror. However, you can apply this law to other situations. For example, how would

### PH 222-2A Spring 2015

PH 222-2A Spring 2015 Images Lectures 24-25 Chapter 34 (Halliday/Resnick/Walker, Fundamentals of Physics 9 th edition) 3 Chapter 34 Images One of the most important uses of the basic laws governing light

### Chapter 3: Mirrors and Lenses

Chapter 3: Mirrors and Lenses Chapter 3: Mirrors and Lenses Lenses Refraction Converging rays Diverging rays Converging Lens Ray tracing rules Image formation Diverging Lens Ray tracing Image formation

### Unit 11 Light and Optics Holt Chapter 14 Student Outline Light and Refraction

Holt Chapter 14 Student Outline Light and Refraction Variables introduced or used in chapter: Quantity Symbol Units Speed of light frequency wavelength angle Object Distance Image Distance Radius of Curvature

### LIGHT & 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

### INTRODUCTION REFLECTION AND REFRACTION AT BOUNDARIES. Introduction. Reflection and refraction at boundaries. Reflection at a single surface

Chapter 8 GEOMETRICAL OPTICS Introduction Reflection and refraction at boundaries. Reflection at a single surface Refraction at a single boundary Dispersion Summary INTRODUCTION It has been shown that

### Light and Lenses Notes

Light and Lenses Notes Refraction The change in speed and direction of a wave Due to change in medium Must cross boundary at an angle other than 90 o, otherwise no change in direction I R (unlike reflection)

### Ray Optics. Ray model Reflection Refraction, total internal reflection Color dispersion Lenses Image formation Magnification Spherical mirrors

Ray Optics Ray model Reflection Refraction, total internal reflection Color dispersion Lenses Image formation Magnification Spherical mirrors 1 Ray optics Optical imaging and color in medicine Integral

### Refraction at a single curved spherical surface

Refraction at a single curved spherical surface This is the beginning of a sequence of classes which will introduce simple and complex lens systems We will start with some terminology which will become

### Chapter 5 Mirrors and Lenses

Chapter 5 Notes: Mirrors and Lenses Name: Block: The Ray Model of Light The ray model of light represents light as a line, or ray, indicating the path of a beam of light. Light travels in straight lines

### Optics INTRODUCTION DISCUSSION OF PRINCIPLES. Reflection by a Plane Mirror

Optics INTRODUCTION Geometric optics is one of the oldest branches of physics, dealing with the laws of reflection and refraction. Reflection takes place on the surface of an object, and refraction occurs

### Refraction and Lenses. Honors Physics

Refraction and Lenses Honors Physics Refraction Refraction is based on the idea that LIGHT is passing through one MEDIUM into another. The question is, WHAT HAPPENS? Suppose you are running on the beach

### Recap: 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

### What is it? How does it work? How do we use it?

What is it? How does it work? How do we use it? Dual Nature http://www.youtube.com/watch?v=dfpeprq7ogc o Electromagnetic Waves display wave behavior o Created by oscillating electric and magnetic fields

### 3. Confirm Does the law of reflection apply to rough surfaces? Explain. Diffuse Reflection

Light Key Concepts How does light reflect from smooth surfaces and rough surfaces? What happens to light when it strikes a concave mirror? Which types of mirrors can produce a virtual image? Reflection

### Chapter 5: Light and Vision CHAPTER 5: LIGHT AND VISION

CHAPTER 5: LIGHT AND VISION These notes have been compiled in a way to make it easier or revision. The topics are not in order as per the syllabus. 5.1 Mirrors and Lenses 5.1.1 Image Characteristics Image

### Ray Diagrams. Ray Diagrams Used for determining location, size, orientation, and type of image

Ray Diagrams Reflection for concave mirror: Any incident ray traveling parallel to the principal axis on the way to the mirror will pass through the focal point upon reflection. Any incident ray passing

### The Lens. Refraction and The Lens. Figure 1a:

Lenses are used in many different optical devices. They are found in telescopes, binoculars, cameras, camcorders and eyeglasses. Even your eye contains a lens that helps you see objects at different distances.

### Conceptual Physics 11 th Edition

Conceptual Physics 11 th Edition Chapter 28: REFLECTION & REFRACTION This lecture will help you understand: Reflection Principle of Least Time Law of Reflection Refraction Cause of Refraction Dispersion

### The image is virtual and erect. When a mirror is rotated through a certain angle, the reflected ray is rotated through twice this angle.

1 Class XII: Physics Chapter 9: Ray optics and Optical Instruments Top Concepts 1. Laws of Reflection. The reflection at a plane surface always takes place in accordance with the following two laws: (i)

### PHY 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

### 12:40-2:40 3:00-4:00 PM

Physics 294H l Professor: Joey Huston l email:huston@msu.edu l office: BPS3230 l Homework will be with Mastering Physics (and an average of 1 hand-written problem per week) Help-room hours: 12:40-2:40

### 9. RAY OPTICS AND OPTICAL INSTRUMENTS

9. RAY OPTICS AND OPTICAL INSTRUMENTS 1. Define the terms (a) ray of light & (b) beam of light A ray is defined as the straight line path joining the two points by which light is travelling. A beam is

### Light: Geometric Optics

Light: Geometric Optics Regular and Diffuse Reflection Sections 23-1 to 23-2. How We See Weseebecauselightreachesoureyes. There are two ways, therefore, in which we see: (1) light from a luminous object

### IJSO Training: Light and Colour Mini-experiment Refractive Index and Snell s Law

IJSO Training: Light and Colour Mini-experiment Refractive Index and Snell s Law Objective In this experiment, you are required to determine the refractive index of an acrylic trapezoid (or any block with

### Reflection and Refraction

Reflection and Refraction Theory: Whenever a wave traveling in some medium encounters an interface or boundary with another medium either (or both) of the processes of (1) reflection and (2) refraction

### Geometrical Optics. Name ID TA. Partners. Date Section. Please do not scratch, polish or touch the surface of the mirror.

Geometrical Optics Name ID TA Partners Date Section Please do not scratch, polish or touch the surface of the mirror. 1. Application of geometrical optics: 2. Real and virtual images: One easy method to

### Mirrors and Lenses - Ch 23 websheet 23.1

Name: Class: _ Date: _ ID: A Mirrors and Lenses - Ch 23 websheet 23. Multiple Choice Identify the choice that best completes the statement or answers the question.. What type of mirror is used whenever

### Optics Worksheet. Chapter 12: Optics Worksheet 1

Optics Worksheet Triangle Diagram: This represents a triangular prism. We want to follow the path of a light ray striking one of the surfaces as it passes through the prism and exits one of the other surfaces.

### normal angle of incidence increases special angle no light is reflected

Reflection from transparent materials (Chapt. 33 last part) When unpolarized light strikes a transparent surface like glass there is both transmission and reflection, obeying Snell s law and the law of

### Reflection and Image Formation by Mirrors

Purpose Theory a. To study the reflection of light Reflection and Image Formation by Mirrors b. To study the formation and characteristics of images formed by different types of mirrors. When light (wave)

### Light Refraction. 7. For the three situations below, draw a normal line and measure and record the angles of incidence and the angles of refraction.

Name: Light Refraction Read from Lesson 1 of the Refraction and Lenses chapter at The Physics Classroom: http://www.physicsclassroom.com/class/refrn/u14l1a.html http://www.physicsclassroom.com/class/refrn/u14l1b.html

### Review 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

### Conceptual Physics Fundamentals

Conceptual Physics Fundamentals Chapter 14: PROPERTIES OF LIGHT This lecture will help you understand: Reflection Refraction Dispersion Total Internal Reflection Lenses Polarization Properties of Light

### LECTURE 17 MIRRORS AND THIN LENS EQUATION. Instructor: Kazumi Tolich

LECTURE 17 MIRRORS AND THIN LENS EQUATION Instructor: Kazumi Tolich Lecture 17 2 18.6 Image formation with spherical mirrors Concave mirrors Convex mirrors 18.7 The thin-lens equation Sign conventions

### TEAMS 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

### Experiment 3: Reflection

Model No. OS-8515C Experiment 3: Reflection Experiment 3: Reflection Required Equipment from Basic Optics System Light Source Mirror from Ray Optics Kit Other Required Equipment Drawing compass Protractor

### Light, 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

### TEAMS National Competition Middle School Version Photometry 25 Questions

TEAMS National Competition Middle School Version Photometry 25 Questions Page 1 of 13 Telescopes and their Lenses Although telescopes provide us with the extraordinary power to see objects miles away,

### Figure 27a3See Answer T5. A convex lens used as a magnifying glass.

F1 Figure 27a (in Answer T5) shows a diagram similar to that required, but with different dimensions. The object is between the first focus and the lens. The image is erect and virtual. The lateral magnification

### Topic 7. Ray (Geometrical) Optics

Topic 7. Ray (Geometrical) Optics Reflection and Refraction Geometrical optics is that branch of optics which treats light as made up of rays that move in straight lines until they encounter an interface

University of Nebraska - Lincoln DigitalCommons@University of Nebraska - Lincoln Calculus-Based General Physics Instructional Materials in Physics and Astronomy 1975 Lenses and Mirrors Follow this and

### Reflection and Refraction. Geometrical Optics

Reflection and Refraction Geometrical Optics Reflection Angle of incidence = Angle of reflection The angle of incidence,i, is always equal to the angle of reflection, r. The incident ray, reflected ray

### The path of light is bent. Refraction and Lenses 4/26/2016. The angle of incidence equals the angle of reflection. Not so for refraction.

The path of light is bent. Refraction and Lenses These are not photographs, but rather computer generated graphics based on the artist s understanding of the index of refraction. The angle of incidence

### Discover how to solve this problem in this chapter.

A 2 cm tall object is 12 cm in front of a spherical mirror. A 1.2 cm tall erect image is then obtained. What kind of mirror is used (concave, plane or convex) and what is its focal length? www.totalsafes.co.uk/interior-convex-mirror-900mm.html

### Waves & Oscillations

Physics 42200 Waves & Oscillations Lecture 40 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.

### AP* 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

### Name Section Date. Experiment Reflection and Refraction

Name Section Date Introduction: Experiment Reflection and Refraction The travel of light is often represented in geometric optics by a light ray, a line that is drawn to represent the straight-line movement

### Inaugural University of Michigan Science Olympiad Invitational Tournament. Optics

Inaugural University of Michigan Science Olympiad Invitational Tournament Test length: 50 Minutes Optics Team number: Team name: Student names: Instructions: Do not open this test until told to do so.

### REFLECTION & REFRACTION

REFLECTION & REFRACTION OBJECTIVE: To study and verify the laws of reflection and refraction using a plane mirror and a glass block. To see the virtual images that can be formed by the reflection and refraction

### Place a straw in the glass of water and record your observations in each case.

Refraction Investigations You will find the Refraction slideshow notes helpful as you complete these investigations. How Refraction Affects What We See: Part 1 You probably won t find anyone who is not

### Physics 11 - Waves Extra Practice Questions

Physics - Waves xtra Practice Questions. Wave motion in a medium transfers ) energy, only ) mass, only. both mass and energy. neither mass nor energy. single vibratory disturbance that moves from point

### Optics Part 1. Vern Lindberg. March 5, 2013

Optics Part 1 Vern Lindberg March 5, 2013 This section of the course deals with geometrical optics refraction, reflection, mirrors, lenses, and aberrations. Physical optics, interference, diffraction,

### Home Lab 7 Refraction, Ray Tracing, and Snell s Law

Home Lab Week 7 Refraction, Ray Tracing, and Snell s Law Home Lab 7 Refraction, Ray Tracing, and Snell s Law Activity 7-1: Snell s Law Objective: Verify Snell s law Materials Included: Laser pointer Cylindrical

### Waves & Oscillations

Physics 42200 Waves & Oscillations Lecture 41 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

### OPTICS: Solutions to higher level questions

OPTICS: Solutions to higher level questions 2015 Question 12 (b) (i) Complete the path of the light ray through the section of the lens. See diagram: (ii) Draw a ray diagram to show the formation of a

### PHYSICS 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

### Reflection and Refraction of Light

PC1222 Fundamentals of Physics II Reflection and Refraction of Light 1 Objectives Investigate for reflection of rays from a plane surface, the dependence of the angle of reflection on the angle of incidence.

### Refraction of Light. light ray. rectangular plastic slab. normal rectangular slab

Refraction of Light light ray light box single slit rectangular plastic slab What is the light path for a ray aligned with the normal? What is the light path for rays not aligned with the normal? light

### A concave mirror is a converging mirror because parallel rays will. A convex mirror is a diverging mirror because parallel rays will

Ray Diagrams Convex Mirror A concave mirror is a converging mirror because parallel rays will. A convex mirror is a diverging mirror because parallel rays will. Quick Activity obtain a ray box and a curved

### Lesson 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

### arxiv: v1 [physics.class-ph] 11 Feb 2012

arxiv:202.2404v [physics.class-ph] Feb 202 Refractive index of a transparent liquid measured with a concave mirror Introduction Amitabh Joshi and Juan D Serna 2 Department of Physics, Eastern Illinois

### On Fig. 7.1, draw a ray diagram to show the formation of this image.

1- A small object is placed 30 cm from the centre of a convex lens of focal length 60 cm An enlarged image is observed from the other side of the lens (a) On Fig 71, draw a ray diagram to show the formation

### Physics 1230: Light and Color. Projects

Physics 1230: Light and Color Chuck Rogers, Charles.Rogers@colorado.edu Matt Heinemann, Matthew.Heinemann@colorado.edu www.colorado.edu/physics/phys1230 Exam 2 tomorrow, here. HWK 6 is due at 5PM Thursday.

### Light. Form of Electromagnetic Energy Only part of Electromagnetic Spectrum that we can really see

Light Form of Electromagnetic Energy Only part of Electromagnetic Spectrum that we can really see Facts About Light The speed of light, c, is constant in a vacuum. Light can be: REFLECTED ABSORBED REFRACTED

### PHYS 219 Spring semester Lecture 19: Mirrors. Ron Reifenberger Birck Nanotechnology Center Purdue University

PHYS 219 Spring semester 2016 Lecture 19: Mirrors Ron Reifenberger Birck Nanotechnology Center Purdue University PHYS 219 Test II Wednesday; March 30, 2016 6:30 PM PHYS 203 Lecture 19 1 a) Interaction

### Optics of Vision. MATERIAL TO READ Web: 1.

Optics of Vision MATERIAL TO READ Web: 1. www.physics.uoguelph.ca/phys1070/webst.html Text: Chap. 3, pp. 1-39 (NB: pg. 3-37 missing) Chap. 5 pp.1-17 Handbook: 1. study guide 3 2. lab 3 Optics of the eye

### Physics 228 Spring 2016 Analytical Physics IIB Lecture 2: Snell s Law Total Internal Reflection Images from Mirrors

Physics 228 Spring 2016 Analytical Physics IIB www.physics.rutgers.edu/ugrad/228 Lecture 2: Snell s Law Total Internal Reflection Images from Mirrors Recitations start this week, with quiz. Also: Labs

### Problems set # 13 Physics 169 May 12, 2015

Prof. Anchordoqui Problems set # 3 Physics 69 May 2, 205. Consider a ray of light traveling in vacuum from point P to P 2 by way of the point Q on a plane miror as shown in Fig.. Show that Fermat s principle

### 6 Refraction of Light at Curved Surfaces

Chapter 6 Refraction of Light at Curved Surfaces It is a common observation that some people use spectacles for reading. The watch repairer uses a small magnifying glass to see tiny parts of a watch. Have

### Behavior of Light: Shadows One Light Bulb. Draw the kissing rays. The rays that just clear the barrier. Lig ght. Ba arrier.

Science Olympiad Optics Color and Shadows The Electromagnetic Spectrum. Behavior of Light: Shadows One Light Bulb Use rays to predict what one would observe if there was one light source. Draw the kissing

### Lecture 7 Notes: 07 / 11. Reflection and refraction

Lecture 7 Notes: 07 / 11 Reflection and refraction When an electromagnetic wave, such as light, encounters the surface of a medium, some of it is reflected off the surface, while some crosses the boundary

### Course Updates. Reminders: 1) Assignment #13 due Monday. 2) Mirrors & Lenses. 3) Review for Final: Wednesday, May 5th

Coure Update http://www.phy.hawaii.edu/~varner/phys272-spr0/phyic272.html Reminder: ) Aignment #3 due Monday 2) Mirror & Lene 3) Review for Final: Wedneday, May 5th h R- R θ θ -R h Spherical Mirror Infinite

### 12:40-2:40 3:00-4:00 PM

Physics 294H l Professor: Joey Huston l email:huston@msu.edu l office: BPS3230 l Homework will be with Mastering Physics (and an average of 1 hand-written problem per week) Help-room hours: 12:40-2:40

### Physics 1230 Light and Color Fall 2012 M. Goldman. Practice Exam #1 Tuesday, Sept 25, Your full name: Last First and middle.

Physics 1230 Light and Color Fall 2012 M. Goldman Practice Exam #1 Tuesday, Sept 25, 2012 This exam will be worth 100 points. There are 10 multiple choice questions worth 4 points each and 3 problems worth

### Physics 23 Fall 1988

Lab 3 - Geometrical Optics Physics 23 Fall 1988 Theory This laboratory is an exercise in geometrical optics, the reflection and refraction of light when it strikes the surface between air and glass, or

### Physics Themed 1516 Williams. Mirrors & Reflective Optics

Physics Themed 1516 Williams Mirrors & Reflective Optics 1 2 Flat Ray Tracing Exercise The black dot represents where an image from the "tip of the flickering flame" would appear to be to any observer

### Thick Lenses and the ABCD Formalism

Thick Lenses and the ABCD Formalism Thursday, 10/12/2006 Physics 158 Peter Beyersdorf Document info 12. 1 Class Outline Properties of Thick Lenses Paraxial Ray Matrices General Imaging Systems 12. 2 Thick

### Ray Optics. Lecture 23. Chapter 34. Physics II. Course website:

Lecture 23 Chapter 34 Physics II Ray Optics Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Today we are going to discuss: Chapter 34: Section 34.1-3 Ray Optics Ray Optics Wave

### Reflection and Refraction

Relection and Reraction Object To determine ocal lengths o lenses and mirrors and to determine the index o reraction o glass. Apparatus Lenses, optical bench, mirrors, light source, screen, plastic or

### MEFT / Quantum Optics and Lasers. Suggested problems from Fundamentals of Photonics Set 1 Gonçalo Figueira

MEFT / Quantum Optics and Lasers Suggested problems from Fundamentals of Photonics Set Gonçalo Figueira. Ray Optics.-3) Aberration-Free Imaging Surface Determine the equation of a convex aspherical nonspherical)