Chapter 34 Geometric Optics

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Chapter 34 Geometric Optics"

Transcription

1 Chapter 34 Geometric Optics Lecture by Dr. Hebin Li

2 Goals of Chapter 34 To see how plane and curved mirrors form images To learn how lenses form images To understand how a simple image system works

3 Reflection at a plane surface Light rays from a point radiate in all directions Light rays from an object point reflect from a plane mirror as though they came from the image point

4 Refraction at a plane surface Light rays from an object at P refract as though they came from the image point P.

5 Image formation by a plane mirror Object distance and image distance Sign rule for s: when the object is on the same side of the reflecting or refracting surface as the incoming light, s is positive; otherwise, it is negative Sign rule for s : when the image is on the same side of the reflecting or refracting surface as the outgoing light, s is positive; otherwise, it is negative

6 Characteristics of the image from a plane mirror The image is just as far behind the mirror as the object is in front of the mirror. s = s The lateral magnification is m = y /y. The image is virtual (no real light rays reach the image), erect, reversed, and the same size as the object 1 s + 1 s = 0

7 A flat mirror is simple, but A flat mirror is the simplest imaging optics. Yeah! So simple but wait a minute I love physics!

8 The image is reversed The image formed by a plane mirror is reversed back to front.

9 Image formed by two mirrors The image formed by one surface can be the object for another surface. This property can lead to multiple images. Question: What if the angle is not 90 o?

10 Example: An extended object is placed in front of a flat mirror and an image of the object is formed by the mirror. Which of the following statements is incorrect? (A)The image is erect. (B) The image is a virtual image. (C) The image is reversed left and right. (D)The image has the same size as the object.

11 Spherical mirror with a point object Sign for R: when the center of curvature C is on the same side as the outgoing light, the radius of curvature is positive; otherwise, it is negative.

12 Focal point and focal length The focal length is half of the mirror s radius of curvature: f = R/2. (Lateral magnification)

13 Image of an extended object Figure below shows how to determine the position, orientation and height of the image.

14 Example: A spherical, concave mirror has a radius of curvature of 30 cm. An object of is 90 cm to the left of the vertex of the mirror. The length of the object is 5 cm. Use the graphical method (i.e. use principal rays) to find the location and length of the image. Compare your results by computing the location and length of the image using the object and image relationship equation.

15 Focal point and focal length of a convex mirror For a convex mirror, R is negative.

16 Image formation by a convex mirror The same equations describe the objectimage relationship. f = R/2

17 Graphical methods for mirrors Four principal rays for concave and convex mirrors. Four principal rays cross at the object and image.

18 Concave mirror with various object distances

19 Example: Rear-view Mirror: A mirror on the passenger side of your car is convex and has a radius of curvature with magnitude 18.0 cm. (a)another car is behind your car, 9.00 m from the mirror, and this car is viewed in the mirror by your passenger. If this car is 1.5 m tall, what is the height of the image? (b)what is the image distance? The mirror has a warning attached that objects viewed in it are closer than they appear. Why is this so?

20 Image of a point object at a spherical surface

21 Image of a point object at a spherical surface

22 Example: A Spherical Fish Bowl: A small tropical fish is at the center of a water-filled, spherical fish bowl 28.0 cm in diameter. (a)find the apparent position and magnification of the fish to an observer outside the bowl. The effect of the thin walls of the bowl may be ignored. (b)a friend advised the owner of the bowl to keep it out of direct sunlight to avoid blinding the fish, which might swim into the focal point of the parallel rays from the sun. Is the focal point actually within the pool?

23 Thin converging lens When a beam of rays parallel to the axis passes through a lens and converge to a point, such as a lens is called a converging lens (or positive lens). The points F 1 and F 2 are called focal points. The distance from a focal point to the center of lens is called focal length. The focal length is positive for a converging (positive) lens. Any lens that is thicker at its center than at its edges is a converging lens with positive f.

24 Image formed by a thin converging lens A thin converging lens can form an image of an extended object. The object-image relationship is described as 1 s + 1 s = 1 f The lateral magnification can be calculated as m = s s

25 Types of lenses Shown below are various types of lenses, both converging and diverging. Any lens that is thicker at its center than at its edges is a converging lens with positive f ; and any lens that is thicker at its edges than at its center is a diverging lens with negative f.

26 Thin diverging lens A beam of parallel rays incident on a diverging lens diverges. The focal length of a diverging lens is a negative quantity, so a diverging lens is also called a negative lens. Any lens that is thicker at its edges than at its center is a diverging lens with negative f. The object-image relationship is described by the same equation: 1 s + 1 s = 1 f The lateral magnification can be calculated as m = s s

27 Graphical methods for lenses We can determine the position and size of an image formed by a thin lens by using three principal rays. A ray parallel to the axis A ray through the center of the lens A ray through (or proceeding toward) the first focal point

28 Example: image formation by a converging lens Find the image position and magnification for an object at each of the following distances from a converging lens with a focal length of 20 cm: (a)50 cm; (b)40 cm; (c)15 cm.

29 Example: image formation by a diverging lens A thin diverging lens has a focal length of 20 cm. You want to use this lens to form an erect, virtual image that is 1/3 the height of the object. (a) Where should the object be placed? (b) Where will the image be?

30 The effect of object distance The object distance can have a large effect on the image. 1 s + 1 s = 1 f s = fs s f

31 Example: A lens forms an image of an object. The object is 16.0 cm from the lens. The image is 12.0 cm from the lens on the same side as the object. (a)what is the focal length of the lens? Is it converging or diverging? (b)if the object is 8.50 mm tall, how tall is the image? Is it erect or inverted? (c)draw a principal-ray diagram.

32 An image of an image The image formed by the first lens can act as an object for the second lens.

33 Example: A 1.20-cm-tall object is 50.0 cm to the left of a converging lens of local length 40.0 cm. A second converging lens, this one having a focal length of 60.0 cm, is located cm to the right of the first lens along the same optic axis. (a)find the location and height of the image (call it I 1 ) form by the lens with a focal length of 40.0 cm. (b)i 1 is now the object for the second lens. Find the location and height of the image formed by the second lens.

34 Cameras When a camera is in proper focus, the position of the electronic sensor coincides with the position of the real image formed by the lens Pearson Education Inc.

35 Camera lens basics The focal length f of a camera lens is the distance from the lens to the image when the object is infinitely far away. The effective area of the lens is controlled by means of an adjustable lens aperture, or diaphragm, a nearly circular hole with diameter D. Photographers commonly express the lightgathering capability of a lens in terms of the ratio f/d, called the f-number of the lens: 2016 Pearson Education Inc.

36 The eye The optical behavior of the eye is similar to that of a camera Pearson Education Inc.

37 Defects of vision A normal eye forms an image on the retina of an object at infinity when the eye is relaxed. In the myopic (nearsighted) eye, the eyeball is too long from front to back in comparison with the radius of curvature of the cornea, and rays from an object at infinity are focused in front of the retina Pearson Education Inc.

38 Nearsighted correction The far point of a certain myopic eye is 50 cm in front of the eye. When a diverging lens of focal length f = 48 cm is worn 2 cm in front of the eye, it creates a virtual image at 50 cm that permits the wearer to see clearly Pearson Education Inc.

39 Farsighted correction A converging lens can be used to create an image far enough away from the hyperopic eye at a point where the wearer can see it clearly Pearson Education Inc.

40 Angular size The maximum angular size of an object viewed at a comfortable distance is the angle it subtends at a distance of 25 cm Pearson Education Inc.

41 The magnifier The angular magnification of a simple magnifier is: 2016 Pearson Education Inc.

42 The compound microscope 2016 Pearson Education Inc.

43 The astronomical telescope The figure below shows the optical system of an astronomical refracting telescope Pearson Education Inc.

44 The reflecting telescope The Gemini North telescope uses an objective mirror 8 meters in diameter Pearson Education Inc.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A plane mirror is placed on the level bottom of a swimming pool that holds water (n =

More information

Lecture Outline Chapter 27. Physics, 4 th Edition James S. Walker. Copyright 2010 Pearson Education, Inc.

Lecture Outline Chapter 27. Physics, 4 th Edition James S. Walker. Copyright 2010 Pearson Education, Inc. Lecture Outline Chapter 27 Physics, 4 th Edition James S. Walker Chapter 27 Optical Instruments Units of Chapter 27 The Human Eye and the Camera Lenses in Combination and Corrective Optics The Magnifying

More information

Dr. Todd Satogata (ODU/Jefferson Lab) Monday, April

Dr. Todd Satogata (ODU/Jefferson Lab)  Monday, April University Physics 227N/232N Mirrors and Lenses Homework Optics 2 due Friday AM Quiz Friday Optional review session next Monday (Apr 28) Bring Homework Notebooks to Final for Grading Dr. Todd Satogata

More information

Chapter 2 - Geometric Optics

Chapter 2 - Geometric Optics David J. Starling Penn State Hazleton PHYS 214 The human eye is a visual system that collects light and forms an image on the retina. The human eye is a visual system that collects light and forms an image

More information

Chapter 34: Geometric Optics

Chapter 34: Geometric Optics Chapter 34: Geometric Optics It is all about images How we can make different kinds of images using optical devices Optical device example: mirror, a piece of glass, telescope, microscope, kaleidoscope,

More information

Chapter 36. Image Formation

Chapter 36. Image Formation Chapter 36 Image Formation Real and Virtual Images Real images can be displayed on screens Virtual Images can not be displayed onto screens. Focal Length& Radius of Curvature When the object is very far

More information

CHAPTER 34. Optical Images

CHAPTER 34. Optical Images CHAPTER 34 1* Can a virtual image be photographed? Yes. Note that a virtual image is seen because the eye focuses the diverging rays to form a real image on the retina. Similarly, the camera lens can focus

More information

Chapter 23. Mirrors and Lenses

Chapter 23. Mirrors and Lenses Chapter 23 Mirrors and Lenses Mirrors and Lenses The development of mirrors and lenses aided the progress of science. It led to the microscopes and telescopes. Allowed the study of objects from microbes

More information

Refraction by Spherical Lenses by

Refraction by Spherical Lenses by Page1 Refraction by Spherical Lenses by www.examfear.com To begin with this topic, let s first know, what is a lens? A lens is a transparent material bound by two surfaces, of which one or both the surfaces

More information

Chapter 34 Geometric Optics (also known as Ray Optics) by C.-R. Hu

Chapter 34 Geometric Optics (also known as Ray Optics) by C.-R. Hu Chapter 34 Geometric Optics (also known as Ray Optics) by C.-R. Hu 1. Principles of image formation by mirrors (1a) When all length scales of objects, gaps, and holes are much larger than the wavelength

More information

PHYS 160 Astronomy. When analyzing light s behavior in a mirror or lens, it is helpful to use a technique called ray tracing.

PHYS 160 Astronomy. When analyzing light s behavior in a mirror or lens, it is helpful to use a technique called ray tracing. Optics Introduction In this lab, we will be exploring several properties of light including diffraction, reflection, geometric optics, and interference. There are two sections to this lab and they may

More information

Chapter 34. Images. Copyright 2014 John Wiley & Sons, Inc. All rights reserved.

Chapter 34. Images. Copyright 2014 John Wiley & Sons, Inc. All rights reserved. Chapter 34 Images Copyright 34-1 Images and Plane Mirrors Learning Objectives 34.01 Distinguish virtual images from real images. 34.02 Explain the common roadway mirage. 34.03 Sketch a ray diagram for

More information

LIGHT REFLECTION AND REFRACTION

LIGHT REFLECTION AND REFRACTION LIGHT REFLECTION AND REFRACTION 1. List four properties of the image formed by a plane mirror. Properties of image formed by a plane mirror: 1. It is always virtual and erect. 2. Its size is equal to that

More information

The Optics of Mirrors

The Optics of Mirrors Use with Text Pages 558 563 The Optics of Mirrors Use the terms in the list below to fill in the blanks in the paragraphs about mirrors. reversed smooth eyes concave focal smaller reflect behind ray convex

More information

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 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

More information

Chapter 26. The Refraction of Light: Lenses and Optical Instruments

Chapter 26. The Refraction of Light: Lenses and Optical Instruments Chapter 26 The Refraction of Light: Lenses and Optical Instruments 26.1 The Index of Refraction Light travels through a vacuum at a speed c=3. 00 10 8 m/ s Light travels through materials at a speed less

More information

Geometric Optics. Ray Model. assume light travels in straight line uses rays to understand and predict reflection & refraction

Geometric Optics. Ray Model. assume light travels in straight line uses rays to understand and predict reflection & refraction Geometric Optics Ray Model assume light travels in straight line uses rays to understand and predict reflection & refraction General Physics 2 Geometric Optics 1 Reflection Law of reflection the angle

More information

always positive for virtual image

always positive for virtual image Point to be remembered: sign convention for Spherical mirror Object height, h = always positive Always +ve for virtual image Image height h = Always ve for real image. Object distance from pole (u) = always

More information

1) An electromagnetic wave is a result of electric and magnetic fields acting together. T 1)

1) An electromagnetic wave is a result of electric and magnetic fields acting together. T 1) Exam 3 Review Name TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. 1) An electromagnetic wave is a result of electric and magnetic fields acting together. T 1) 2) Electromagnetic

More information

CHAPTER 18 REFRACTION & LENSES

CHAPTER 18 REFRACTION & LENSES Physics Approximate Timeline Students are expected to keep up with class work when absent. CHAPTER 18 REFRACTION & LENSES Day Plans for the day Assignments for the day 1 18.1 Refraction of Light o Snell

More information

University of Rochester Department of Physics and Astronomy Physics123, Spring Homework 5 - Solutions

University of Rochester Department of Physics and Astronomy Physics123, Spring Homework 5 - Solutions Problem 5. University of Rochester Department of Physics and Astronomy Physics23, Spring 202 Homework 5 - Solutions An optometrist finds that a farsighted person has a near point at 25 cm. a) If the eye

More information

Activity 6.1 Image Formation from Spherical Mirrors

Activity 6.1 Image Formation from Spherical Mirrors PHY385H1F Introductory Optics Practicals Day 6 Telescopes and Microscopes October 31, 2011 Group Number (number on Intro Optics Kit):. Facilitator Name:. Record-Keeper Name: Time-keeper:. Computer/Wiki-master:..

More information

There is a range of distances over which objects will be in focus; this is called the depth of field of the lens. Objects closer or farther are

There is a range of distances over which objects will be in focus; this is called the depth of field of the lens. Objects closer or farther are Chapter 25 Optical Instruments Some Topics in Chapter 25 Cameras The Human Eye; Corrective Lenses Magnifying Glass Telescopes Compound Microscope Aberrations of Lenses and Mirrors Limits of Resolution

More information

Converging and Diverging Surfaces. Lenses. Converging Surface

Converging and Diverging Surfaces. Lenses. Converging Surface Lenses Sandy Skoglund 2 Converging and Diverging s AIR Converging If the surface is convex, it is a converging surface in the sense that the parallel rays bend toward each other after passing through the

More information

Physics 228 Lecture 3. Today: Spherical Mirrors Lenses.

Physics 228 Lecture 3. Today: Spherical Mirrors Lenses. Physics 228 Lecture 3 Today: Spherical Mirrors Lenses www.physics.rutgers.edu/ugrad/228 a) Santa as he sees himself in a mirrored sphere. b) Santa as he sees himself in a flat mirror after too much eggnog.

More information

Image Formation. Light from distant things. Geometrical optics. Pinhole camera. Chapter 36

Image Formation. Light from distant things. Geometrical optics. Pinhole camera. Chapter 36 Light from distant things Chapter 36 We learn about a distant thing from the light it generates or redirects. The lenses in our eyes create images of objects our brains can process. This chapter concerns

More information

Lenses. Images. Difference between Real and Virtual Images

Lenses. Images. Difference between Real and Virtual Images Linear Magnification (m) This is the factor by which the size of the object has been magnified by the lens in a direction which is perpendicular to the axis of the lens. Linear magnification can be calculated

More information

Chapter 23. Light Geometric Optics

Chapter 23. Light Geometric Optics Chapter 23. Light Geometric Optics There are 3 basic ways to gather light and focus it to make an image. Pinhole - Simple geometry Mirror - Reflection Lens - Refraction Pinhole Camera Image Formation (the

More information

Wonders of Light - Part I

Wonders of Light - Part I 6. Wonders of Light - Part I Light : The fastest physical quantity, which is an electromagnetic radiation travelling with the speed of 3 0 8 m/s. SCHOOL SECTION 25 SCIENCE & TECHNOLOGY MT EDUCARE LTD.

More information

04. REFRACTION OF LIGHT AT CURVED SURFACES

04. REFRACTION OF LIGHT AT CURVED SURFACES CLASS-10 PHYSICAL SCIENCE 04. REFRACTION OF LIGHT AT CURVED SURFACES Questions and Answers *Reflections on Concepts* 1. Write the lens maker s formula and explain the terms in it. A. Lens maker s formula

More information

Chapter 34: Geometrical Optics (Part 2)

Chapter 34: Geometrical Optics (Part 2) Chapter 34: Geometrical Optics (Part 2) Brief review Optical instruments Camera Human eye Magnifying glass Telescope Microscope Optical Aberrations Phys Phys 2435: 22: Chap. 34, 31, Pg 1 The Lens Equation

More information

Lenses- Worksheet. (Use a ray box to answer questions 3 to 7)

Lenses- Worksheet. (Use a ray box to answer questions 3 to 7) Lenses- Worksheet 1. Look at the lenses in front of you and try to distinguish the different types of lenses? Describe each type and record its characteristics. 2. Using the lenses in front of you, look

More information

ii) When light falls on objects, it reflects the light and when the reflected light reaches our eyes then we see the objects.

ii) When light falls on objects, it reflects the light and when the reflected light reaches our eyes then we see the objects. Light i) Light is a form of energy which helps us to see objects. ii) When light falls on objects, it reflects the light and when the reflected light reaches our eyes then we see the objects. iii) Light

More information

!"#$%&$'()(*'+,&-./,'(0' focal point! parallel rays! converging lens" image of an object in a converging lens" converging lens: 3 easy rays" !

!#$%&$'()(*'+,&-./,'(0' focal point! parallel rays! converging lens image of an object in a converging lens converging lens: 3 easy rays ! !"#$%&$'()(*'+,&-./,'(0' converging lens"! +,7$,$'! 8,9/4&:27'473'+,7$,$'! 84#';%4?.4:27' 1234#5$'126%&$'''! @4=,/4$'! 1",'A.=47'>#,*'+,7$,$'473'B4

More information

PHYS:1200 LECTURE 31 LIGHT AND OPTICS (3)

PHYS:1200 LECTURE 31 LIGHT AND OPTICS (3) 1 PHYS:1200 LECTURE 31 LIGHT AND OPTICS (3) In lecture 30, we applied the law of reflection to understand how images are formed using plane and curved mirrors. In this lecture we will use the law of refraction

More information

Determination of Focal Length of A Converging Lens and Mirror

Determination of Focal Length of A Converging Lens and Mirror Physics 41 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) lens and

More information

LIGHT REFLECTION AND REFRACTION

LIGHT REFLECTION AND REFRACTION LIGHT REFLECTION AND REFRACTION REFLECTION OF LIGHT A highly polished surface, such as a mirror, reflects most of the light falling on it. Laws of Reflection: (i) The angle of incidence is equal to the

More information

SUBJECT: PHYSICS. Use and Succeed.

SUBJECT: PHYSICS. Use and Succeed. SUBJECT: PHYSICS I hope this collection of questions will help to test your preparation level and useful to recall the concepts in different areas of all the chapters. Use and Succeed. Navaneethakrishnan.V

More information

Image Formation by Lenses

Image Formation by Lenses Image Formation by Lenses Bởi: OpenStaxCollege Lenses are found in a huge array of optical instruments, ranging from a simple magnifying glass to the eye to a camera s zoom lens. In this section, we will

More information

Geometric Optics Practice Problems. Ray Tracing - Draw at least two principle rays and show the image created by the lens or mirror.

Geometric Optics Practice Problems. Ray Tracing - Draw at least two principle rays and show the image created by the lens or mirror. Geometric Optics Practice Problems Ray Tracing - Draw at least two principle rays and show the image created by the lens or mirror. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. Practice Problems - Mirrors Classwork

More information

CHAPTER 3 OPTICAL INSTRUMENTS

CHAPTER 3 OPTICAL INSTRUMENTS 1 CHAPTER 3 OPTICAL INSTRUMENTS 3.1 Introduction The title of this chapter is to some extent false advertising, because the instruments described are the instruments of first-year optics courses, not optical

More information

13. Optical Instruments*

13. Optical Instruments* 13. Optical Instruments* Objective: Here what you have been learning about thin lenses is applied to make a telescope. In the process you encounter general optical instrument design concepts. The learning

More information

CHAPTER 3LENSES. 1.1 Basics. Convex Lens. Concave Lens. 1 Introduction to convex and concave lenses. Shape: Shape: Symbol: Symbol:

CHAPTER 3LENSES. 1.1 Basics. Convex Lens. Concave Lens. 1 Introduction to convex and concave lenses. Shape: Shape: Symbol: Symbol: CHAPTER 3LENSES 1 Introduction to convex and concave lenses 1.1 Basics Convex Lens Shape: Concave Lens Shape: Symbol: Symbol: Effect to parallel rays: Effect to parallel rays: Explanation: Explanation:

More information

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

More information

INTRODUCTION THIN LENSES. Introduction. given by the paraxial refraction equation derived last lecture: Thin lenses (19.1) = 1. Double-lens systems

INTRODUCTION THIN LENSES. Introduction. given by the paraxial refraction equation derived last lecture: Thin lenses (19.1) = 1. Double-lens systems Chapter 9 OPTICAL INSTRUMENTS Introduction Thin lenses Double-lens systems Aberrations Camera Human eye Compound microscope Summary INTRODUCTION Knowledge of geometrical optics, diffraction and interference,

More information

mirrors and lenses PHY232 Remco Zegers Room W109 cyclotron building

mirrors and lenses PHY232 Remco Zegers Room W109 cyclotron building mirrors and lenses PHY232 Remco Zegers zegers@nscl.msu.edu Room W109 cyclotron building http://www.nscl.msu.edu/~zegers/phy232.html quiz (extra credit) a ray of light moves from air to a material with

More information

OPTICS DIVISION B. School/#: Names:

OPTICS DIVISION B. School/#: Names: OPTICS DIVISION B School/#: Names: Directions: Fill in your response for each question in the space provided. All questions are worth two points. Multiple Choice (2 points each question) 1. Which of the

More information

An image is being formed by a mirror with a spherical radius of R=+40cm. Draw mirror spherical surface curving to the right!

An image is being formed by a mirror with a spherical radius of R=+40cm. Draw mirror spherical surface curving to the right! Image formation by Reflection at a Spherical Mirror An image is being formed by a mirror with a spherical radius of R=+40cm. Left side of room: Right side of room: Draw mirror spherical surface curving

More information

Name: Lab Partner: Section:

Name: Lab Partner: Section: Chapter 10 Thin Lenses Name: Lab Partner: Section: 10.1 Purpose In this experiment, the formation of images by concave and convex lenses will be explored. The application of the thin lens equation and

More information

Person s Optics Test KEY SSSS

Person s Optics Test KEY SSSS Person s Optics Test KEY SSSS 2017-18 Competitors Names: School Name: All questions are worth one point unless otherwise stated. Show ALL WORK or you may not receive credit. Include correct units whenever

More information

Chapter 23. Light: Geometric Optics

Chapter 23. Light: Geometric Optics Ch-23-1 Chapter 23 Light: Geometric Optics Questions 1. Archimedes is said to have burned the whole Roman fleet in the harbor of Syracuse, Italy, by focusing the rays of the Sun with a huge spherical mirror.

More information

AP Physics Problems -- Waves and Light

AP Physics Problems -- Waves and Light AP Physics Problems -- Waves and Light 1. 1974-3 (Geometric Optics) An object 1.0 cm high is placed 4 cm away from a converging lens having a focal length of 3 cm. a. Sketch a principal ray diagram for

More information

JPN Pahang Physics Module Form 4 Chapter 5 Light. In each of the following sentences, fill in the bracket the appropriate word or words given below.

JPN Pahang Physics Module Form 4 Chapter 5 Light. In each of the following sentences, fill in the bracket the appropriate word or words given below. JPN Pahang Physics Module orm 4 HAPTER 5: LIGHT In each of the following sentences, fill in the bracket the appropriate word or words given below. solid, liquid, gas, vacuum, electromagnetic wave, energy

More information

Topic 4: Lenses and Vision. Lens a curved transparent material through which light passes (transmit) Ex) glass, plastic

Topic 4: Lenses and Vision. Lens a curved transparent material through which light passes (transmit) Ex) glass, plastic Topic 4: Lenses and Vision Lens a curved transparent material through which light passes (transmit) Ex) glass, plastic Double Concave Lenses Are thinner and flatter in the middle than around the edges.

More information

Supplementary Notes to. IIT JEE Physics. Topic-wise Complete Solutions

Supplementary Notes to. IIT JEE Physics. Topic-wise Complete Solutions Supplementary Notes to IIT JEE Physics Topic-wise Complete Solutions Geometrical Optics: Focal Length of a Concave Mirror and a Convex Lens using U-V Method Jitender Singh Shraddhesh Chaturvedi PsiPhiETC

More information

Geometric!Op9cs! Reflec9on! Refrac9on!`!Snell s!law! Mirrors!and!Lenses! Other!topics! Thin!Lens!Equa9on! Magnifica9on! Lensmaker s!formula!

Geometric!Op9cs! Reflec9on! Refrac9on!`!Snell s!law! Mirrors!and!Lenses! Other!topics! Thin!Lens!Equa9on! Magnifica9on! Lensmaker s!formula! Geometric!Op9cs! Reflec9on! Refrac9on!`!Snell s!law! Mirrors!and!Lenses! Thin!Lens!Equa9on! Magnifica9on! Lensmaker s!formula! Other!topics! Telescopes! Apertures! Reflec9on! Angle!of!incidence!equals!angle!of!reflec9on!

More information

Laboratory 12: Image Formation by Lenses

Laboratory 12: Image Formation by Lenses Phys 112L Spring 2013 Laboratory 12: Image Formation by Lenses The process by which convex lenses produce images can be described with reference to the scenario illustrated in Fig. 1. An object is placed

More information

Lecture 19 (Geometric Optics I Plane and Spherical Optics) Physics Spring 2018 Douglas Fields

Lecture 19 (Geometric Optics I Plane and Spherical Optics) Physics Spring 2018 Douglas Fields Lecture 19 (Geometric Optics I Plane and Spherical Optics) Physics 262-01 Spring 2018 Douglas Fields Optics -Wikipedia Optics is the branch of physics which involves the behavior and properties of light,

More information

Using Mirrors to Form Images. Reflections of Reflections. Key Terms. Find Out ACTIVITY

Using Mirrors to Form Images. Reflections of Reflections. Key Terms. Find Out ACTIVITY 5.2 Using Mirrors to Form Images All mirrors reflect light according to the law of reflection. Plane mirrors form an image that is upright and appears to be as far behind the mirror as the is in front

More information

Unit 5.B Geometric Optics

Unit 5.B Geometric Optics Unit 5.B Geometric Optics Early Booklet E.C.: + 1 Unit 5.B Hwk. Pts.: / 18 Unit 5.B Lab Pts.: / 25 Late, Incomplete, No Work, No Units Fees? Y / N Essential Fundamentals of Geometric Optics 1. Convex surfaces

More information

LAB 12 Reflection and Refraction

LAB 12 Reflection and Refraction Cabrillo College Physics 10L Name LAB 12 Reflection and Refraction Read Hewitt Chapters 28 and 29 What to learn and explore Please read this! When light rays reflect off a mirror surface or refract through

More information

Lenses. Optional Reading Stargazer: the life and times of the TELESCOPE, Fred Watson (Da Capo 2004).

Lenses. Optional Reading Stargazer: the life and times of the TELESCOPE, Fred Watson (Da Capo 2004). Lenses Equipment optical bench, incandescent light source, laser, No 13 Wratten filter, 3 lens holders, cross arrow, diffuser, white screen, case of lenses etc., vernier calipers, 30 cm ruler, meter stick

More information

The Reflection of Light in Curved Mirrors

The Reflection of Light in Curved Mirrors The Reflection of Light in Curved Mirrors Now that you have had a change to review and reflect upon the nature of light on plane mirrors, it is time to proceed on to the study of curved mirrors. To review,

More information

Part 1 Investigating Snell s Law

Part 1 Investigating Snell s Law Geometric Optics with Lenses PURPOSE: To observe the refraction of light off through lenses; to investigate the relationship between objects and images; to study the relationship between object distance,

More information

Exam 4--PHYS 102--S15

Exam 4--PHYS 102--S15 Name: Class: Date: Exam 4--PHYS 102--S15 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A mirror produces an upright image. The object is 2 cm high; the

More information

Lab 10: Lenses & Telescopes

Lab 10: Lenses & Telescopes Physics 2020, Fall 2010 Lab 8 page 1 of 6 Circle your lab day and time. Your name: Mon Tue Wed Thu Fri TA name: 8-10 10-12 12-2 2-4 4-6 INTRODUCTION Lab 10: Lenses & Telescopes In this experiment, you

More information

UNIT SUMMARY: Electromagnetic Spectrum, Color, & Light Name: Date:

UNIT SUMMARY: Electromagnetic Spectrum, Color, & Light Name: Date: UNIT SUMMARY: Electromagnetic Spectrum, Color, & Light Name: Date: Topics covered in the unit: 1. Electromagnetic Spectrum a. Order of classifications and respective wavelengths b. requency, wavelength,

More information

OPTICS LENSES AND TELESCOPES

OPTICS LENSES AND TELESCOPES ASTR 1030 Astronomy Lab 97 Optics - Lenses & Telescopes OPTICS LENSES AND TELESCOPES SYNOPSIS: In this lab you will explore the fundamental properties of a lens and investigate refracting and reflecting

More information

Physics, Chapter 38: Mirrors and Lenses

Physics, Chapter 38: Mirrors and Lenses University of Nebraska - Lincoln DigitalCommons@University of Nebraska - Lincoln Robert Katz Publications Research Papers in Physics and Astronomy 1-1958 Physics, Chapter 38: Mirrors and Lenses Henry Semat

More information

INDEX OF REFRACTION index of refraction n = c/v material index of refraction n

INDEX OF REFRACTION index of refraction n = c/v material index of refraction n INDEX OF REFRACTION The index of refraction (n) of a material is the ratio of the speed of light in vacuuo (c) to the speed of light in the material (v). n = c/v Indices of refraction for any materials

More information

WAVES: LENSES QUESTIONS

WAVES: LENSES QUESTIONS WAVES: LENSES QUESTIONS LIGHT (2016;1) Tim was looking into a convex mirror ball in his garden. Standing behind a small plant, he noticed that when he looked at the reflection of the plant in the convex

More information

H-'li+i Lensmaker's Equation. Summary / =

H-'li+i Lensmaker's Equation. Summary / = Lensmaker's equation *! 23-10 Lensmaker's Equation A useful equation, known as the lensmaker's equation, relates the focal length of a lens to the radii of curvature Rx and R2 of its two surfaces and its

More information

Division C Optics KEY Captains Exchange

Division C Optics KEY Captains Exchange Division C Optics KEY 2017-2018 Captains Exchange 1.) If a laser beam is reflected off a mirror lying on a table and bounces off a nearby wall at a 30 degree angle, what was the angle of incidence of the

More information

VISUAL PHYSICS ONLINE DEPTH STUDY: ELECTRON MICROSCOPES

VISUAL PHYSICS ONLINE DEPTH STUDY: ELECTRON MICROSCOPES VISUAL PHYSICS ONLINE DEPTH STUDY: ELECTRON MICROSCOPES Shortly after the experimental confirmation of the wave properties of the electron, it was suggested that the electron could be used to examine objects

More information

Optics B. Science Olympiad North Regional Tournament at the University of Florida DO NOT WRITE ON THIS BOOKLET. THIS IS AN TEST SET.

Optics B. Science Olympiad North Regional Tournament at the University of Florida DO NOT WRITE ON THIS BOOKLET. THIS IS AN TEST SET. Optics B Science Olympiad North Regional Tournament at the University of Florida 1 DO NOT WRITE ON THIS BOOKLET. THIS IS AN TEST SET. Part I: General Body Knowledge Questions 2 1) (3 PTS) For much of the

More information

Section 1: Sound. Sound and Light Section 1

Section 1: Sound. Sound and Light Section 1 Sound and Light Section 1 Section 1: Sound Preview Key Ideas Bellringer Properties of Sound Sound Intensity and Decibel Level Musical Instruments Hearing and the Ear The Ear Ultrasound and Sonar Sound

More information

Instructions. To run the slideshow:

Instructions. To run the slideshow: Instructions To run the slideshow: Click: view full screen mode, or press Ctrl +L. Left click advances one slide, right click returns to previous slide. To exit the slideshow press the Esc key. Optical

More information

Image Formation Fundamentals

Image Formation Fundamentals 03/04/2017 Image Formation Fundamentals Optical Engineering Prof. Elias N. Glytsis School of Electrical & Computer Engineering National Technical University of Athens Imaging Conjugate Points Imaging Limitations

More information

Exam 4--PHYS 102--S15

Exam 4--PHYS 102--S15 Name: Class: Date: Exam 4--PHYS 02--S5 Multiple Choice Identify the choice that best completes the statement or answers the question.. A mirror produces an upright image. The object is 8 cm high and to

More information

Human Eye Model OS-8477A

Human Eye Model OS-8477A Instruction Manual 02-3032A Human Eye Model OS-8477A 800-772-8700 www.pasco.com Table of Contents Contents Quick Start............................................................ Introduction...........................................................

More information

Lens Principal and Nodal Points

Lens Principal and Nodal Points Lens Principal and Nodal Points Douglas A. Kerr, P.E. Issue 3 January 21, 2004 ABSTRACT In discussions of photographic lenses, we often hear of the importance of the principal points and nodal points of

More information

Geometric optics & aberrations

Geometric optics & aberrations Geometric optics & aberrations Department of Astrophysical Sciences University AST 542 http://www.northerneye.co.uk/ Outline Introduction: Optics in astronomy Basics of geometric optics Paraxial approximation

More information

2.710 Optics Spring 09 Problem Set #3 Posted Feb. 23, 2009 Due Wednesday, March 4, 2009

2.710 Optics Spring 09 Problem Set #3 Posted Feb. 23, 2009 Due Wednesday, March 4, 2009 MASSACHUSETTS INSTITUTE OF TECHNOLOGY 2.710 Optics Spring 09 Problem Set # Posted Feb. 2, 2009 Due Wednesday, March 4, 2009 1. Wanda s world Your goldfish Wanda happens to be situated at the center of

More information

Chapter 23 Study Questions Name: Class:

Chapter 23 Study Questions Name: Class: Chapter 23 Study Questions Name: Class: Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. When you look at yourself in a plane mirror, you

More information

Geometric Optics. This equation is known as the mirror equation or the thin lens equation, depending on the setup.

Geometric Optics. This equation is known as the mirror equation or the thin lens equation, depending on the setup. Geometric Optics Purpose (Write the purposes at the beginning of each problem.) Problem 1: find the focal length of a concave mirror to verify the mirror equation; Problem 2: find the focal length of a

More information

Exemplar for Internal Achievement Standard Level 2

Exemplar for Internal Achievement Standard Level 2 Exemplar for internal assessment resource Physics 2.2A for Achievement Standard 91169 Exemplar for Internal Achievement Standard 91169 Level 2 This exemplar supports assessment against: Achievement Standard

More information

Basic Optics System OS-8515C

Basic Optics System OS-8515C 40 50 30 60 20 70 10 80 0 90 80 10 20 70 T 30 60 40 50 50 40 60 30 70 20 80 90 90 80 BASIC OPTICS RAY TABLE 10 0 10 70 20 60 50 40 30 Instruction Manual with Experiment Guide and Teachers Notes 012-09900B

More information

Supermacro Photography and Illuminance

Supermacro Photography and Illuminance Supermacro Photography and Illuminance Les Wilk/ReefNet April, 2009 There are three basic tools for capturing greater than life-size images with a 1:1 macro lens --- extension tubes, teleconverters, and

More information

Practice Problems for Chapter 25-26

Practice Problems for Chapter 25-26 Practice Problems for Chapter 25-26 1. What are coherent waves? 2. Describe diffraction grating 3. What are interference fringes? 4. What does monochromatic light mean? 5. What does the Rayleigh Criterion

More information

MIRRORS - INTRODUCTION

MIRRORS - INTRODUCTION 1 2 3 4-5 6 7 8-9 10 11 12-17 18 19 20 CONTENTS LIGHT - INTRODUCTION REFLECTION MIRRORS - INTRODUCTION MIRRORS A PERISCOPE REFLECTION - SURFACES CONCAVE AND CONVEX MIRRORS REFRACTION A MIRAGE LENSES THE

More information

TOPICS Recap of PHYS110-1 lecture Physical Optics - 4 lectures EM spectrum and colour Light sources Interference and diffraction Polarization

TOPICS Recap of PHYS110-1 lecture Physical Optics - 4 lectures EM spectrum and colour Light sources Interference and diffraction Polarization TOPICS Recap of PHYS110-1 lecture Physical Optics - 4 lectures EM spectrum and colour Light sources Interference and diffraction Polarization Lens Aberrations - 3 lectures Spherical aberrations Coma, astigmatism,

More information

Physics 3340 Spring Fourier Optics

Physics 3340 Spring Fourier Optics Physics 3340 Spring 011 Purpose Fourier Optics In this experiment we will show how the Fraunhofer diffraction pattern or spatial Fourier transform of an object can be observed within an optical system.

More information

Lecture 4: Geometrical Optics 2. Optical Systems. Images and Pupils. Rays. Wavefronts. Aberrations. Outline

Lecture 4: Geometrical Optics 2. Optical Systems. Images and Pupils. Rays. Wavefronts. Aberrations. Outline Lecture 4: Geometrical Optics 2 Outline 1 Optical Systems 2 Images and Pupils 3 Rays 4 Wavefronts 5 Aberrations Christoph U. Keller, Leiden University, keller@strw.leidenuniv.nl Lecture 4: Geometrical

More information

Reflectors vs. Refractors

Reflectors vs. Refractors 1 Telescope Types - Telescopes collect and concentrate light (which can then be magnified, dispersed as a spectrum, etc). - In the end it is the collecting area that counts. - There are two primary telescope

More information

( ) = + ANSWERS TO EVEN NUMBERED CONCEPTUAL QUESTIONS

( ) = + ANSWERS TO EVEN NUMBERED CONCEPTUAL QUESTIONS Mirrors and Lenses 39 7. A concave mirror forms inverted, real images of real objects located outside the focal oint ( > f ), and uright, magnified, virtual images of real objects located inside the focal

More information

PHYS 1020 LAB 7: LENSES AND OPTICS. Pre-Lab

PHYS 1020 LAB 7: LENSES AND OPTICS. Pre-Lab PHYS 1020 LAB 7: LENSES AND OPTICS Note: Print and complete the separate pre-lab assignment BEFORE the lab. Hand it in at the start of the lab. Pre-Lab Start by reading the entire prelab and lab write-up.

More information

In our discussion of the behavior of light in the two previous Chapters, we

In our discussion of the behavior of light in the two previous Chapters, we Of the many optical devices we discuss in this Chapter, the magnifying glass is the simplest. Here it is magnifying part of page 722 of this Chapter, which describes how the magnifying glass works according

More information

Chapter 18 OPTICAL ELEMENTS

Chapter 18 OPTICAL ELEMENTS GOALS Chapter 18 OPTICAL ELEMENTS When you have mastered the content of this chapter, you will be able to achieve the following goals: Definitions Define each of the following terms and use it in an operational

More information

OPTICS I LENSES AND IMAGES

OPTICS I LENSES AND IMAGES APAS Laboratory Optics I OPTICS I LENSES AND IMAGES If at first you don t succeed try, try again. Then give up- there s no sense in being foolish about it. -W.C. Fields SYNOPSIS: In Optics I you will learn

More information