# Chapter 23. The Reflection of Light: Mirrors

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 Chapter 23 The Reflection of Light: Mirrors

2 Wave Fronts and Rays Defining wave fronts and rays. Consider a sound wave since it is easier to visualize. Shown is a hemispherical view of a sound wave emitted by a pulsating sphere. The rays are perpendicular to the wave fronts (e.g. crests) which are separated from each other by the wavelength of the wave, λ.

3 Wave Fronts and Rays The positions of two spherical wave fronts are shown in (a) with their diverging rays. At large distances from the source, the wave fronts become less and less curved and approach the limiting case of a plane wave shown in (b). A plane wave has flat wave fronts and rays parallel to each other. We will consider light waves as plane waves and will represent them by their rays.

4 The Reflection of Light LAW OF REFLECTION FROM FLAT MIRRORS. The incident ray, the reflected ray, and the normal to the surface all lie in the same plane, and the angle of incidence, θ i, equals the angle of reflection, θ r. θ i = θ r

5 The Reflection of Light In specular reflection, the reflected rays are parallel to each other. In diffuse reflection, light is reflected in random directions. Flat, reflective surfaces, e.g. mirrors, polished metal, surface of a calm pond of water Rough surfaces, e.g. paper, wood, unpolished metal, surface of a pond on a windy day

6 The Formation of Images by a Plane Mirror Your image in a flat mirror has four properties: 1. It is upright. 2. It is the same size as you are. 3. The image is as far behind the mirror as you are in front of it. 4. It is reversed, left <--> right The person s right hand becomes the image s left hand. Emergency vehicles are usually reverse-lettered so the lettering appears normal in the rear view mirror of a car.

7 The Formation of Images by a Plane Mirror A ray of light from the top of the chess piece reflects from the mirror. To the eye, the ray seems to come from behind the mirror. Because none of the rays actually emanate from the image, it is called a virtual image. Each point of an illuminated object emits a continuum of light rays in a range of directions. Two of these rays are shown here.

8 The Formation of Images by a Plane Mirror The geometry used to show that the image distance d i is equal to the object distance d o. Since θ = α by intersecting lines, β 1 = β 2. Thus ABC and BCD are similar triangles. Since the triangles share the common side BC, they are also identical triangles, so d o = d i

9 The Formation of Images by a Plane Mirror Conceptual Example: Full-Length Versus Half-Length Mirrors What is the minimum mirror height necessary for her to see her full image? Start with a mirror which is exactly her height. Since θ i = θ r, the triangles containing DP and CP are identical, thus DP = CP To see up to the top of her head H she only needs section CP, which is 1/2 of CD, since light emitted from H that reflects from DP will not reach her eyes. To see down to her foot F she only needs section BC, which is 1/2 of AC (for similar reasons as above), since light emitted from F that reflects from AB will not reach her eyes. Since BC + CP = (1/2)AD, she only needs a half-length mirror to see her full image.

10 The Formation of Images by a Plane Mirror Conceptual Example: Multiple Reflections A person is sitting in front of two mirrors that intersect at a right angle. The person sees three images of herself. Why are there three, rather than two, images? Image 1 is a single reflection image from Mirror 1. Image 2 is a single reflection image from Mirror 2. Image 3 is a double reflection image from Mirrors 1 and 2.

11 Spherical Mirrors If the inside surface of the spherical mirror is polished, it is a concave mirror. If the outside surface is polished, is it a convex mirror. R is the radius of curvature of the mirror. The law of reflection applies, just as it does for a plane mirror, i.e. the angles of incidence and reflection are measured from the normal to the surface of the mirror at the reflection point. The principal axis of the mirror is a straight line drawn through the center of curvature C and the midpoint of the mirror.

12 Spherical Mirrors Light rays near and parallel to the principal axis are reflected from the concave mirror and converge at the focal point F. The focal length f is the distance between the focal point and the mirror.

13 Spherical Mirrors The focal point F of a concave mirror is halfway between the center of curvature of the mirror C and the mirror at B. f = 1 2 R Proof: Assume θ is small, i.e. that the incoming parallel ray is close to the principal axis. Then, CAB and FAB are approximately right triangles with the same opposite side AB. From CAB, tanθ = AB CB = AB R From FAB, Dividing, tan2θ = AB FB = AB f tanθ tan2θ = AB R AB f = f R 1 But for small θ è tan θ ~ θ and tan 2θ ~ 2θ è è f = 2 R 2θ = f R θ 2θ f

14 Spherical Mirrors Rays that lie close to the principal axis are called paraxial rays. Rays that are far from the principal axis do not converge to a single point. The fact that a spherical mirror does not bring all parallel rays to a single point is known as spherical abberation. Spherical abberation can be minimized by using a mirror whose height is small compared with the radius of curvature.

15 Spherical Mirrors When paraxial light rays that are parallel to the principal axis strike a convex mirror, the rays appear to originate from a focal point behind the mirror. f = 1 2 R R < 0 The negative sign indicates that it is a convex mirror.

16 The Formation of Images by Spherical Mirrors IMAGING WITH CONCAVE MIRRORS To find the image of an object placed in front of a concave mirror, there are several types of rays which are particularly useful è ray tracing: This ray is initially parallel to the principal axis and passes through the focal point. This ray initially passes through the focal point, then emerges parallel to the principal axis. This ray travels along a line that passes through the center and so reflects back on itself.

17 The Formation of Images by Spherical Mirrors If the object is placed between F and C, the image is real, inverted and magnified. If the object is placed at a distance greater than C from the mirror, the image is real, inverted and reduced in size. A real image is one where light is actually passing through the image (it can be projected onto a screen). The principle of reversibility - If the direction of a light ray is reversed, the light retraces its original path.

18 The Formation of Images by Spherical Mirrors When an object is placed between the focal point F and a concave mirror, The image is virtual, upright, and magnified (as in the case of images from flat mirrors, a virtual image is one from which light appears to be emanating but through which light does not pass, e.g. it cannot be projected onto a screen).

19 The Formation of Images by Spherical Mirrors IMAGING WITH CONVEX MIRRORS For convex mirrors the image of an object is always virtual, upright, and reduced in size. Ray 1 is initially parallel to the principal axis and appears to originate from the focal point. Ray 2 heads towards the focal point, emerging parallel to the principal axis. Ray 3 travels toward the center of curvature and reflects back on itself.

20 The Mirror Equation and Magnification So far we have discussed concave and convex mirrors qualitatively and graphically. We now want to derive two simple equations which provide quantitative relationships among the quantities we have defined to describe mirrors, i.e., f = focal length d o d i = object distance = image distance m = magnification

21 The Mirror Equation and Magnification Consider the real image produced from a concave mirror. The two right triangles are similar in each case. h o = d 0 h i d i hi m = = h o minus since inverted d d i o Magnification equation h o = d o f h i f 1 d o + 1 d i = 1 f Mirror equation Both equations are valid for concave and convex mirrors and for real and virtual images.

22 The Mirror Equation and Magnification Summary of Sign Conventions for Spherical Mirrors f f is + for a is for a concave mirror. convex mirror. d o d o is + if the object is in front of the mirror. is if the object is behind the mirror. d i is + if the image object is in front of the mirror (real image). d i is if the image object is behind the mirror (virtualimage). m is + for an image upright with respect to the object. m is - for an image inverted with respect to the object.

23 Example. A Real Image formed by a Concave Mirror. A 2.0 cm high object is placed 7.10 cm from a concave mirror whose radius of curvature is cm. Find the location of the image and its size. Concave mirror: R = cm f = R 2 = = 5.10 cm 1 = 1 d i f 1 = 1 d o d i =18 cm = cm 1 è real image since positive h i = d i d o h o = = 5.1 cm è magnified and inverted

24 The Mirror Equation and Magnification Example. A Virtual Image Formed by a Convex Mirror A convex mirror is used to reflect light from an object placed 66 cm in front of the mirror. The focal length of the mirror is 46 cm in back of the mirror. Find the location of the image and the magnification. Since a convex mirror, the focal length is negative è f = -46 cm d = f i do i = 46 cm 66 cm = cm d i = 27 cm è image is virtual since negative m = d d i o = ( 27 cm) 66 cm = 0.41 è image is upright and reduced

### Waves and Modern Physics PHY Spring 2012

Waves and Modern Physics PHY 123 - Spring 2012 1st Midterm Exam Wednesday, February 22 Chapter 32 Light: Reflec2on and Refrac2on Units of Chapter 32 Today we will cover: The Ray Model of Light Reflection;

### Convex Mirrors. Ray Diagram for Convex Mirror

Convex Mirrors Center of curvature and focal point both located behind mirror The image for a convex mirror is always virtual and upright compared to the object A convex mirror will reflect a set of parallel

### Lecture PowerPoints. Chapter 23 Physics: Principles with Applications, 7th edition Giancoli

Lecture PowerPoints Chapter 23 Physics: Principles with Applications, 7th edition Giancoli This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching

### Lecture PowerPoints. Chapter 23 Physics: Principles with Applications, 7 th edition Giancoli

Lecture PowerPoints Chapter 23 Physics: Principles with Applications, 7 th edition Giancoli This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching

### Physics I Honors: Chapter 13 Practice Test

Physics I Honors: Chapter 13 Practice Test Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. Which portion of the electromagnetic spectrum

### Geometric 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

### Chapter 23. Ray Optics. Chapter 23. Ray Optics. What is specular reflection? Chapter 23. Reading Quizzes

Chapter 23. Ray Optics Chapter 23. Ray Optics Our everyday experience that light travels in straight lines is the basis of the ray model of light. Ray optics apply to a variety of situations, including

### Geometric Optics Physics Leaving Cert Quick Notes

Geometric Optics Physics Leaving Cert Quick Notes Geometric Optics Properties of light Light is a form of energy. As such it can be converted into other forms of energy. We can demonstrate this using a

### Chapter 17 Light and Image Formation

Chapter 7 Light and Image Formation Reflection and Refraction How is an image in a mirror produced? Reflection and Image Formation In chapter 6 we studied physical optics, which involve wave aspects of

### Lesson 26: Reflection & Mirror Diagrams

Lesson 26: Reflection & Mirror Diagrams The Law of Reflection There is nothing really mysterious about reflection, but some people try to make it more difficult than it really is. All EMR will reflect

### Chapter 34B - Reflection and Mirrors II (Analytical)

Chapter 34B - Reflection and Mirrors II (Analytical) A PowerPoint Presentation by Paul E. Tippens, Professor of Physics Southern Polytechnic State University 2007 Objectives: After completing this module,

### Lab #1: Geometric Optics

Physics 123 Union College Lab #1: Geometric Optics I. Introduction In geometric optics, the ray approximation is combined with the laws of reflection and refraction and geometry to determine the location

### Page 1 Class 10 th Physics LIGHT REFLECTION AND REFRACTION

Page 1 LIGHT Light is a form of energy, which induces the sensation of vision in our eyes and makes us able to see various things present in our surrounding. UNITS OF LIGHT Any object which has an ability

### Reflection 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,

### Geometric Optics. Chapter 34. Goals for Chapter 34. Reflection at a plane surface. Introduction How do magnifying lenses work?

Goals for Chapter 34 Chapter 34 To see how plane and curved mirrors form images To learn how lenses form images Geometric Optics To understand how a camera works To analyze defects in vision and how to

### P222. Optics Supplementary Note # 3: Mirrors Alex R. Dzierba Indiana University. θ θ. Plane Mirrors

P222 Optics Supplementary Note # 3: Mirrors Alex R. Dzierba Indiana University Plane Mirrors Let s talk about mirrors. We start with the relatively simple case of plane mirrors. Suppose we have a source

### SPH3UW Unit 7.8 Multiple Lens Page 1 of 5

SPH3UW Unit 7.8 Multiple Lens Page of 5 Notes Physics Tool box Thin Lens is an optical system with two refracting surfaces. The most simplest thin lens contain two spherical surfaces that are close enough

### MIRRORS AND REFLECTION

MIRRORS AND REFLECTION PART 1 ANGLE OF INCIDENCE, ANGLE OF REFLECTION In this exploration we will compare θ i (angle of incidence) and θ r (angle of reflection). We will also investigate if rays are reversed

### AP 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,

### Light Reflection of Light

Light Reflection of Light 1. (a) What do you understand by the following terms? (i) Light (ii) Diffused light. (b) By giving one example and one use explain or define (i) regular reflection (ii) irregular

### April 29. Physics 272. Spring Prof. Philip von Doetinchem

Physics 272 April 29 Spring 2014 http://www.phys.hawaii.edu/~philipvd/pvd_14_spring_272_uhm.html Prof. Philip von Doetinchem philipvd@hawaii.edu Phys272 - Spring 14 - von Doetinchem - 411 Summary Object

### 1. You stand two feet away from a plane mirror. How far is it from you to your image? a. 2.0 ft c. 4.0 ft b. 3.0 ft d. 5.0 ft

Lenses and Mirrors 1. You stand two feet away from a plane mirror. How far is it from you to your image? a. 2.0 ft c. 4.0 ft b. 3.0 ft d. 5.0 ft 2. Which of the following best describes the image from

### Understanding Spherical Mirrors

[ Assignment View ] [ Eðlisfræði 2, vor 2007 34. Geometric Optics and Optical Instruments Assignment is due at 2:00am on Wednesday, January 17, 2007 Credit for problems submitted late will decrease to

### (text on screen) VO In diffuse reflection, parallel incident light rays are reflected in different directions.

Physics 1401 Mirrors You ve probably heard the old saying, The end is in sight. Well, that saying applies doubly to our class. Not only do we start the final unit that ends our year of physics but today

### 1 of 9 2/9/2010 3:38 PM

1 of 9 2/9/2010 3:38 PM Chapter 23 Homework Due: 8:00am on Monday, February 8, 2010 Note: To understand how points are awarded, read your instructor's Grading Policy. [Return to Standard Assignment View]

### Determination of Focal Length of A Converging Lens and Mirror

Physics 41- Lab 5 Determination of Focal Length of A Converging Lens and Mirror Objective: Apply the thin-lens equation and the mirror equation to determine the focal length of a converging (biconvex)

### Chapter 30 The Law of Reflection

It follows that each little region of a luminous body, such as the Sun, a candle, or a burning coal, generates its own waves of which that region is the center. Thus in the flame of a candle, having distinguished

### Physics Laboratory: Lenses

Physics Laboratory: Lenses We have already seen how Snell s Law describes the refraction of light as it passes through media with different indices of refraction. Lenses are made of materials that generally

### 1. Reflection, Refraction, and Geometric Optics (Chapters 33 and 34) [ Edit ]

1 of 17 2/8/2016 9:34 PM Signed in as Weida Wu, Instructor Help Sign Out My Courses Course Settings University Physics with Modern Physics, 14e Young/Freedman Instructor Resources etext Study Area ( RUPHY228S16

### Objectives 426 CHAPTER 10 LIGHT AND OPTICAL SYSTEMS

Objectives Explain what is meant by the curvature and focal length of mirrors and lenses. Explain how curvature and focal length are related. Use light rays to trace light from an object to a mirror to

### Graphical construction of images

Physics S4 Graphical construction of images Lesson 159 Developed by (Tomas Odenyo Oloo) 50 minutes Class discussion Subtopic Graphical construction of images Overview Graphical construction of images Overview

### Rutgers Analytical Physics 750:228, Spring 2016 ( RUPHY228S16 )

1 of 13 2/17/2016 5:28 PM Signed in as Weida Wu, Instructor Help Sign Out Rutgers Analytical Physics 750:228, Spring 2016 ( RUPHY228S16 ) My Courses Course Settings University Physics with Modern Physics,

### waves rays Consider rays of light from an object being reflected by a plane mirror (the rays are diverging): mirror object

PHYS1000 Optics 1 Optics Light and its interaction with lenses and mirrors. We assume that we can ignore the wave properties of light. waves rays We represent the light as rays, and ignore diffraction.

### Law of Reflection. The angle of incidence (i) is equal to the angle of reflection (r)

Light GCSE Physics Reflection Law of Reflection The angle of incidence (i) is equal to the angle of reflection (r) Note: Both angles are measured with respect to the normal. This is a construction line

### Thin Lenses Drawing Ray Diagrams

Drawing Ray Diagrams Fig. 1a Fig. 1b In this activity we explore how light refracts as it passes through a thin lens. Eyeglasses have been in use since the 13 th century. In 1610 Galileo used two lenses

### 2) A convex lens is known as a diverging lens and a concave lens is known as a converging lens. Answer: FALSE Diff: 1 Var: 1 Page Ref: Sec.

Physics for Scientists and Engineers, 4e (Giancoli) Chapter 33 Lenses and Optical Instruments 33.1 Conceptual Questions 1) State how to draw the three rays for finding the image position due to a thin

### Experiment 3 Lenses and Images

Experiment 3 Lenses and Images Who shall teach thee, unless it be thine own eyes? Euripides (480?-406? BC) OBJECTIVES To examine the nature and location of images formed by es. THEORY Lenses are frequently

### Homework 13 chapter 36: 17, 21, 33, 74

http://iml.umkc.edu/physics/wrobel/phy50/homework.htm Homework chapter 6: 7,,, 74 Problem 6.7 A spherical mirror is to be used to form, on a screen located 5 m from the object, an image five times the

### The Thin Convex Lens convex lens focal point thin lens thin convex lens real images

1 The Thin Convex Lens In the previous experiment, we observed the phenomenon of refraction for a rectangular piece of glass. The bending or refraction of the light was observed for two parallel interfaces,

### Lecture 14 Images Chapter 34

Lecture 4 Images Chapter 34 Preliminary topics before mirrors and lenses Law of Reflection Dispersion Snell s Law Brewsters Angle Law of Reflection Dispersion Snell s Law Brewsters Angle Geometrical Optics:Study

### Solution 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

### Crooke s Radiometer. Solar Panels

Physics Light 1 2 E B 3 Crooke s Radiometer Solar Panels 4 5 Pin Hole Camera Object (Candle) Image (Inverted & Size) 6 7 8 Regular Diffuse e.g. mirrors e.g. page 9 Mirror Page 10 Regular Diffuse 11 Plane

### Chapter 36 - Lenses. A PowerPoint Presentation by Paul E. Tippens, Professor of Physics Southern Polytechnic State University

Chapter 36 - Lenses A PowerPoint Presentation by Paul E. Tippens, Professor of Physics Southern Polytechnic State University 2007 Objectives: After completing this module, you should be able to: Determine

### Curved surfaces and lenses

Curved surfaces and lenses (Material taken from: Optics, by E. Hecht, 4th Ed., Ch: 5) One of the important challenges pertaining to the practical aspects of optics is wave shaping, i.e. controlling the

### Physics 25 Exam 3 November 3, 2009

1. A long, straight wire carries a current I. If the magnetic field at a distance d from the wire has magnitude B, what would be the the magnitude of the magnetic field at a distance d/3 from the wire,

### Image Formation by Spherical Mirrors

Image Formation by Spherical Mirrors Project : OSCAR Developer : Dhanya.P Contents 1. Terminologies associated with Spherical/curved mirrors. 2. Rules of reflection for curved mirrors. 3. Mirror Equations

### C) D) As object AB is moved from its present position toward the left, the size of the image produced A) decreases B) increases C) remains the same

1. For a plane mirror, compared to the object distance, the image distance is always A) less B) greater C) the same 2. Which graph best represents the relationship between image distance (di) and object

### Geometric Optics Physics 118/198/212. Geometric Optics

Background Geometric Optics This experiment deals with image formation with lenses. We will use what are referred to as thin lenses. Thin lenses are ordinary lenses like eyeglasses and magnifiers, but

### Lecture 17. Image formation Ray tracing Calculation. Lenses Convex Concave. Mirrors Convex Concave. Optical instruments

Lecture 17. Image formation Ray tracing Calculation Lenses Convex Concave Mirrors Convex Concave Optical instruments Image formation Laws of refraction and reflection can be used to explain how lenses

### Your Comments. Also, that 30/60/90 triangle prism question on the last homework...holy geometry batman!

Your Comments Also, that 30/60/90 triangle prism question on the last homework...holy geometry batman! o thats why I'm always up side down when I look at the inside o my cereal spoon, regardless o how

### Chapter 32. OPTICAL IMAGES 32.1 Mirrors

Chapter 32 OPTICAL IMAGES 32.1 Mirror The point P i called the image or the virtual image of P (light doe not emanate from it) The left-right reveral in the mirror i alo called the depth inverion (the

### Home Work 14. Sol 17. (a) The mirror is concave. (b) f = +20 cm (positive, because the mirror is concave). (c) r = 2f = 2(+20 cm) = +40 cm.

Home Work 14 14-1 More mirrors. Object O stands on the central axis of a spherical or plane mirror. For this situation, each problem in the Table refers to (a) the type of mirror, (b) the focal distance

### Lenses. Types of Lenses (The word lens is derived from the Latin word lenticula, which means lentil. A lens is in the shape of a lentil.

Lenses Notes_10_ SNC2DE_09-10 Types of Lenses (The word lens is derived from the Latin word lenticula, which means lentil. A lens is in the shape of a lentil. ) Most lenses are made of transparent glass

### Light ASSIGNMENT EDULABZ. A pin hole... is based on the principle that light travels in... lines.

Light ASSIGNMENT 1. Fill in the blank spaces, by choosing the correct words from the list given below : List : large, high, moon, umbra, light, camera, transparent, straight, pass, curvature, convex, shaving,

### Chapter 22: Mirrors and Lenses

Chapter 22: Mirrors and Lenses How do you see sunspots? When you look in a mirror, where is the face you see? What is a burning glass? Make sure you know how to:. Apply the properties of similar triangles;

### A STUDY OF LENSES INTRODUCTION. LAB LIGH.1 From Laboratory Manual of Elementary Physics, Westminster College

A STUDY OF LENSES LAB LIGH.1 From Laboratory Manual of Elementary Physics, Westminster College INTRODUCTION A lens is a piece of transparent material bounded by two curved surfaces or a curved surface

### RAY OPTICS II 7.1 INTRODUCTION

7 RAY OPTICS II 7.1 INTRODUCTION This chapter presents a discussion of more complicated issues in ray optics that builds on and extends the ideas presented in the last chapter (which you must read first!)

### Lab 9. Optics. 9.1 Introduction

Lab 9 Name: Optics 9.1 Introduction Unlike other scientists, astronomers are far away from the objects they want to examine. Therefore astronomers learn everything about an object by studying the light

### Chapter 17: Light and Image Formation

Chapter 17: Light and Image Formation 1. When light enters a medium with a higher index of refraction it is A. absorbed. B. bent away from the normal. C. bent towards from the normal. D. continues in the

### Procedure: 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

### Physics 9 th Standard Chapter 10 LENS Fill in the blanks 1. A transparent material which is thicker in the middle and thinner at the edges is called

Physics 9 th Standard Chapter 10 LENS Fill in the blanks 1. A transparent material which is thicker in the middle and thinner at the edges is called convex lens 2. An object should be placed at twice the

### EXPERIMENT 6 OPTICS: FOCAL LENGTH OF A LENS

EXPERIMENT 6 OPTICS: FOCAL LENGTH OF A LENS The following website should be accessed before coming to class. Text reference: pp189-196 Optics Bench a) For convenience of discussion we assume that the light

### Thin Lenses. Physics 102 Workshop #7. General Instructions

Thin Lenses Physics 102 Workshop #7 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

### REFLECTION AND PLANAR MIRRORS

REFLECTION AND PLANAR MIRRORS by Kirby Morgan REFLECTION AND PLANAR MIRRORS 1. Introduction.............................................. 1 2. Law of Reflection a. Light Waves Can be Represented by Rays...............

### Lecture Notes for Chapter 34: Images

Lecture Notes for hapter 4: Images Disclaimer: These notes are not meant to replace the textbook. Please report any inaccuracies to the professor.. Spherical Reflecting Surfaces Bad News: This subject

### LIGHT REFLECTION AND REFRACTION

QUESTION BANK IN SCIENCE CLASS-X (TERM-II) 10 LIGHT REFLECTION AND REFRACTION CONCEPTS To revise the laws of reflection at plane surface and the characteristics of image formed as well as the uses of reflection

### HOMEWORK 4 with Solutions

Winter 996 HOMEWORK 4 with Solutions. ind the image of the object for the single concave mirror system shown in ig. (see next pages for worksheets) by: (a) measuring the radius R and calculating the focal

### Unit 3 Lesson 3 Mirrors and Lenses How do mirrors and lenses work?

Big Idea: Visible light is the small part of the electromagnetic spectrum that is essential for human vision Unit 3 Lesson 3 Mirrors and Lenses How do mirrors and lenses work? Copyright Houghton Mifflin

### Chapter 36. Image Formation

Chapter 36 Image Formation CHAPTER OUTLINE 36. Images Formed by Flat Mirrors 36.2 Images Formed by Spherical Mirrors 36.3 Images Formed by Refraction 36.4 Thin Lenses 36.5 Lens Aberrations 36.6 The Camera

### Solution Derivations for Capa #13

Solution Derivations for Capa #13 1) A super nova releases 1.3 10 45 J of energy. It is 1540 ly from earth. If you were facing the star in question, and your face was a circle 7 cm in radius, how much

### Chapter 23. The Refraction of Light: Lenses and Optical Instruments

Chapter 23 The Refraction of Light: Lenses and Optical Instruments Lenses Converging and diverging lenses. Lenses refract light in such a way that an image of the light source is formed. With a converging

### PROPERTIES OF THIN LENSES. Paraxial-ray Equations

PROPERTIES OF THIN LENSES Object: To measure the focal length of lenses, to verify the thin lens equation and to observe the more common aberrations associated with lenses. Apparatus: PASCO Basic Optical

### Which type of electromagnetic radiation would be used to take the photograph? ... (1)

Q. After a person is injured a doctor will sometimes ask for a photograph to be taken of the patient s bone structure, e.g. in the case of a suspected broken arm. (i) Which type of electromagnetic radiation

### Physics 1653 Final Exam - Review Questions

Chapter 22 Reflection & Refraction Physics 1653 Final Exam - Review Questions 1. The photon energy for light of wavelength 500 nm is approximately A) 1.77 ev B) 3.10 ev C) 6.20 ev D) 2.48 ev E) 5.46 ev

### 9/16 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

### GEOMETRICAL OPTICS. Lens Prism Mirror

GEOMETRICAL OPTICS Geometrical optics is the treatment of the passage of light through lenses, prisms, etc. by representing the light as rays. A light ray from a source goes in a straight line through

### Size Of the Image Nature Of the Image At Infinity At the Focus Highly Diminished, Point Real and Inverted

CHAPTER-10 LIGHT REFLECTION AND REFRACTION Light rays; are; electromagnetic in nature, and do not need material medium for Propagation Speed of light in vacuum in 3*10 8 m/s When a light ray falls on a

### It bends away from the normal, like this. So the angle of refraction, r is greater than the angle of incidence, i.

Physics 1403 Lenses It s party time, boys and girls, because today we wrap up our study of physics. We ll get this party started in a bit, but first, you have some more to learn about refracted light.

### Lesson 29: Lenses. Double Concave. Double Convex. Planoconcave. Planoconvex. Convex meniscus. Concave meniscus

Lesson 29: Lenses Remembering the basics of mirrors puts you half ways towards fully understanding lenses as well. The same sort of rules apply, just with a few modifications. Keep in mind that for an

### OPTICAL IMAGES DUE TO LENSES AND MIRRORS *

1 OPTICAL IMAGES DUE TO LENSES AND MIRRORS * Carl E. Mungan U.S. Naval Academy, Annapolis, MD ABSTRACT The properties of real and virtual images formed by lenses and mirrors are reviewed. Key ideas are

### Winter 2016 Math 213 Final Exam. Points Possible. Subtotal 100. Total 100

Winter 2016 Math 213 Final Exam Name Instructions: Show ALL work. Simplify wherever possible. Clearly indicate your final answer. Problem Number Points Possible Score 1 25 2 25 3 25 4 25 Subtotal 100 Extra

### Class 10 Reflection and refraction of Light

Class 10 Reflection and refraction of Light Light is the form of energy having both wave and particle nature. Speed of light in vacuum is 3 lakhs km/s Reflection of Light by plane and Spherical Mirrors

### Physics I Honors: Chapter 14 Practice Test - Refraction of Light

Physics I Honors: Chapter 14 Practice Test - Refraction of Light Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. Refraction is the bending

### Optics and Geometry. with Applications to Photography Tom Davis tomrdavis@earthlink.net http://www.geometer.org/mathcircles November 15, 2004

Optics and Geometry with Applications to Photography Tom Davis tomrdavis@earthlink.net http://www.geometer.org/mathcircles November 15, 2004 1 Useful approximations This paper can be classified as applied

### 15 Imaging ESSENTIAL IDEAS. How we see images. Option C. Understanding the human eye

Option C 15 Imaging ESSENTIAL IDEAS The progress of a wave can be modelled using the ray or the wavefront. The change in wave speed when moving between media changes the shape of the wave. Optical microscopes

### PHYSICS 262 GEOMETRIC OPTICS

PHYSICS 262 GEOMETRIC OPTICS Part I Position and Size of Image: Cardinal Points If the indices of refraction of all elements are known, together with the positions and radii of curvature of all surfaces,

### Multiple Element Optical Systems

O4 ultiple Element Optical Systems Introduction Optical elements and systems irrors Lenses Systems Instruments O4. Introduction In this section we will be presented with a series of examples to illustrate

### radiation1 1the larger the objective diameter, the greater the ability to resolve fine detail on the object. You will find a discussion of

F1 The ray diagram for a simple astronomical refracting telescope is shown in Figure 23. The focal points of the f o f e objective and the eyepiece F e, F are normally made to o θ o θ coincide so that

### Turnbull High School Physics Department. CfE. National 4 /National. Physics. Unit 1: Waves and Radiation. Section 3: Light

Turnbull High School Physics Department CfE National 4 /National 5 Physics Unit 1: Waves and Radiation Section 3: Light Name: Class: 1 National 5 Unit 1: Section 3 I can state the law of reflection and

### 7/06 Geometric Optics GEOMETRIC OPTICS JUPITER THROUGH A REPLICA OF GALILEO'S TELESCOPE

GEOMETRIC OPTICS JUPITER THROUGH A REPLICA OF GALILEO'S TELESCOPE The four Galilean moons of Jupiter (from left: Europa, Callisto, Io and Ganymede): a 6 sec exposure taken on Nov. 28, 2002 at approximately

### PHY 171. Homework 5 solutions. (Due by beginning of class on Wednesday, February 8, 2012)

PHY 171 (Due by beginning of class on Wednesday, February 8, 2012) 1. Consider the figure below which shows four stacked transparent materials. In this figure, light is incident at an angle θ 1 40.1 on

### (c) eruption of volcanoes (d) none of these 5. A solar eclipse can occur only on a

5 LIGHT I. Tick ( ) the most appropriate answer. 1. Light causes the (a) sensation of heat (b) sensation of sound (c) sensation of sight (d) sensation of touch 2. Objects which emit light of their own

### Image Formation by Plane and Spherical Mirrors

Name School Date Purpose Image Formation by Plane and Spherical Mirrors To become familiar with the nature of the images formed by plane and spherical mirrors. To learn to distinguish between real and

### Ray Tracing: the Law of Reflection, and Snell s Law

Ray Tracing: the Law of Reflection, and Snell s Law Each of the experiments is designed to test or investigate the basic ideas of reflection and the ray-like behavior of light. The instructor will explain

### THIN SPHERICAL LENSES

THIN SPHERICAL LENSES by M. Brandl MISN-0-223. Introduction... 2. Descartes ormula for a Thin Lens a. The ormula... b. Conditions for Validity of Descartes ormula...2 converging THIN SPHERICAL LENSES C

### Question 2: The radius of curvature of a spherical mirror is 20 cm. What is its focal length?

Question 1: Define the principal focus of a concave mirror. ANS: Light rays that are parallel to the principal axis of a concave mirror converge at a specific point on its principal axis after reflecting

### CIRCLE COORDINATE GEOMETRY

CIRCLE COORDINATE GEOMETRY (EXAM QUESTIONS) Question 1 (**) A circle has equation x + y = 2x + 8 Determine the radius and the coordinates of the centre of the circle. r = 3, ( 1,0 ) Question 2 (**) A circle

### How Do Lenses and Mirrors Affect Light?

Essential Question How Do Lenses and Mirrors Affect Light? What reflective surfaces do you see in your classroom? What are the different properties of these surfaces that make some reflections better than