This is the Grade 10 Science self-learning module for Quarter 2, Module 3: Qualitative Characteristics of Images. It is an Alternative Delivery Mode (ADM) module, First Edition 2020, from DepEd Region I, written by Sofia Q. Casupang. It explains how plane, concave, and convex mirrors and convex and concave lenses form images, and how to describe those images by their location, orientation, size, and type.
On this page 7 sections
What learners will learn
By the end of the module, learners should be able to:
- predict the qualitative characteristics (orientation, type, and magnification) of images formed by plane and curved mirrors and lenses (S10FE-IIg-50); and
- apply ray diagramming techniques in describing the characteristics and position of images formed by mirrors and lenses.
The module has one lesson, Lesson 1: Qualitative Characteristics of Images. It starts with a review of the nature of light from Grades 7 and 8, then moves to reflection, plane mirrors, spherical mirrors, and lenses.
Key ideas: reflection and plane mirrors
The laws of reflection state that:
- the incident ray, the reflected ray, and the normal line to the reflecting surface all lie in the same plane; and
- the angle of incidence is equal to the angle of reflection.
The normal line is an imaginary line perpendicular to the surface. For example, if the angle of incidence is 25 degrees, the angle of reflection is also 25 degrees.
The module describes two types of reflection:
- Specular or regular reflection: light reflects from a smooth surface at a definite angle, like mountains reflected on calm water.
- Diffused or irregular reflection: rough surfaces reflect light in all directions, like mountains reflected on wavy water.
An image in a plane mirror (a flat mirror, like a bathroom mirror) is:
| Characteristic | Plane mirror image |
|---|---|
| Location | Behind the mirror, at the same distance as the object |
| Orientation | Upright |
| Size | Same size as the object |
| Type | Virtual |
Plane mirrors also show left-right reversal: when you raise your left hand, your image seems to raise its right hand. This is why the word AMBULANCE is written reversed on the front of an ambulance, so drivers can read it properly in their rear-view mirrors.
Key ideas: curved mirrors and lenses
Spherical mirrors follow the surface of a sphere. There are two kinds:
- Concave (converging) mirror: its reflecting surface is curved inward and reflects light to one focal point. It is used to focus light.
- Convex (diverging) mirror: its reflecting surface bulges toward the light source and spreads light outward.
Real and virtual images
| Real image | Virtual image |
|---|---|
| Light rays actually meet after reflection | Light rays do not actually meet; they only appear to |
| Can be formed on a screen | Cannot be formed on a screen |
| Inverted compared with the object | Erect compared with the object |
To locate images in curved mirrors, the module uses these points: center of curvature (C), focal point (F), vertex (V), principal axis, focal length (f), and radius of curvature (R). The focal length is one-half the radius of curvature.
Images formed by a concave mirror
| Object location | Image location | Orientation | Size | Type |
|---|---|---|---|---|
| Beyond C | Between C and F | Inverted | Reduced | Real |
| At C | At C | Inverted | Same | Real |
| Between C and F | Beyond C | Inverted | Enlarged | Real |
| At F | No image formed | |||
| Between F and the mirror | Behind the mirror | Upright | Enlarged | Virtual |
A convex mirror always forms an upright, reduced, virtual image, wherever the object is placed.
Convex and concave lenses
| Convex lens | Concave lens | |
|---|---|---|
| Curve | Outward | Inward |
| Light | Converges | Diverges |
| Shape | Thicker at the center | Thinner at the center |
| Focal length | Positive | Negative |
| Image | Real and inverted; virtual, erect, and enlarged in a magnifying glass | Virtual, erect, and diminished |
| Used to correct | Hyperopia (farsightedness) | Myopia (nearsightedness) |
Activities in this module
- What’s In: fill-in-the-blank review of light (photons, vacuum, rays, absorption, transmission).
- What’s New, “Light as Rays”: measure angles of incidence and reflection with a plane mirror, laser pointer, and a paper protractor.
- Enrichment Activity 1, “Multiple Reflection”: count images between two hinged mirrors at 180°, 120°, 90°, 60°, and 45°, leading to the rule N = (360 / angle between the mirrors) − 1.
- Enrichment Activity 2, “Mirror Left-Right Reversal”: observe your image in a plane mirror.
- Enrichment Activity 3, “Image Formed by Curved Mirrors”: use the inner and outer surfaces of a spoon as concave and convex mirrors.
- Assessment 4, “The L-O-S-T Art of Image Description”: describe image Location, Orientation, Size, and Type from ray diagrams.
- What I Can Do: decide whether everyday objects, such as a vehicle side view mirror or a motorcycle headlight, act as concave or convex surfaces.
How to use this module
- Learners: Answer the 15-item pretest first. If you get a perfect score, you may skip the module or continue to enrich your understanding; if you score 14 or below, work through the module. Do each activity and its assessment, then the What I Have Learned summary, What I Can Do, and the 15-item posttest. Write all answers on a separate sheet or in your Science notebook, labeled by activity number and title, and do not write on the module.
- Parents and facilitators: Help gather simple materials such as two small mirrors, a protractor, a spoon, and a coin or pencil. Encourage honest use of the answer key, which covers each activity and test.
- Teachers: The pretest and posttest share the same topics, so comparing scores shows how much a learner gained. The answer key appears at the end of the module.
Frequently asked questions
What grade and quarter is this Science module for?
It is for Grade 10 Science, Quarter 2. It is Module 3, titled Qualitative Characteristics of Images.
What competency does this module cover?
It covers S10FE-IIg-50: predicting the orientation, type, and magnification of images formed by plane and curved mirrors and lenses. It also teaches ray diagramming to describe image position and characteristics.
Does the module have an answer key?
Yes. The answer key at the end of the module covers the pretest, posttest, activities, and the summary exercises.
What is the difference between a real and a virtual image?
A real image forms where light rays actually meet, can be shown on a screen, and is inverted. A virtual image forms where rays only appear to meet, cannot be shown on a screen, and is erect.
What kind of image does a convex mirror form?
According to the module, a convex mirror always forms an upright, reduced, virtual image, wherever the object is placed in front of it.
Full text of the module
The text below is a transcription of the PDF above, as printed.
Science Quarter 2 – Module 3: Qualitative Characteristics of Images
10
[illustration: teachers and learners studying outdoors and indoors, with a globe, a lamp, and books]
GOVERNMENT PROPERTY NOT FOR SALE
Copyright and Credits
Science – Grade 10 Alternative Delivery Mode Quarter 2 – Module 3: Qualitative Characteristics of images First Edition, 2020
Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. However, prior approval of the government agency or office wherein the work is created shall be necessary for exploitation of such work for profit. Such agency or office may, among other things, impose as a condition the payment of royalties.
Borrowed materials (i.e., songs, stories, poems, pictures, photos, brand names, trademarks, etc.) included in this module are owned by their respective copyright holders. Every effort has been exerted to locate and seek permission to use these materials from their respective copyright owners. The publisher and authors do not represent nor claim ownership over them.
Published by the Department of Education Secretary: Leonor Magtolis Briones Undersecretary: Diosdado M. San Antonio
Printed in the Philippines by _____________________
Development Team of the Module
Writer: Sofia Q. Casupang
Editors: Ma. Maila C. Justo, Emily P. Tandog
Reviewers: Jaime Campos, Jr., Jerry R. Junio, Elnora T. Raroque, Rodrigo Q. Reyes, Jr., Ellen F. Fernandez, German J. Ferrer Jr., Ma. Criselda G. Ocang, Gina A. Amoyen
Illustrator: Richard C. Paragas
Layout Artist: Reyna H. Talinio, Aiman Bajet
Management Team: Tolentino G. Aquino, Arlene A. Niro, Carmina C. Gutierrez, Gina A. Amoyen, Editha T. Giron, Rustico P. Abalos, Jr., Marilou D. Roldan, Jerry R. Junio
Department of Education – Region I
Office Address: Flores St., Catbangen, City of San Fernando, La Union Telefax: (072) 682-2324; (072) 607-8137 E-mail Address: region1@deped.gov
10
Science
Quarter 2 – Module 3: Qualitative Characteristics of Images
Introductory Message
This Self-Learning Module (SLM) is prepared so that you, our dear learners, can continue your studies and learn while at home. Activities, questions, directions, exercises, and discussions are carefully stated for you to understand each lesson.
The SLM is composed of different parts. Each part shall guide you step-by-step as you discover and understand the lesson prepared for you.
Pretest is provided to measure your prior knowledge on lessons in each SLM. This will tell you if you need to proceed on completing this module or if you need to ask your facilitator or your teacher’s assistance for better understanding of the lesson. At the end of each module, you need to answer the posttest to self-check your learning. Answer keys are provided for each activity and test. We trust that you will be honest in using these.
In addition to the material in the main text, Notes to the Teacher are also provided to our facilitators and parents for strategies and reminders on how they can best help you on your home-based learning.
Please use this module with care. Do not put unnecessary marks on any part of this SLM. Use a separate sheet of paper in answering the exercises and tests. And read the instructions carefully before performing each task.
If you have any questions in using this SLM or any difficulty in answering the tasks in this module, do not hesitate to consult your teacher or facilitator.
Thank you.
What I Need to Know
[illustration: hand touching a circular button icon]
When you look in the mirror, have you noticed something interesting about you and your image in the mirror? You will also learn how mirrors form images. How are light rays reflected from different types of mirrors: plane, spherical concave, and spherical convex mirrors? Did you know that a mirror could create different types of images?
In this module you will get acquainted with the qualitative characteristics of the image that is formed in Plane, Concave and Convex Mirrors. As you go through the pages of this module, you will be able to use the laws of reflection in order to describe and explain how mirrors and lenses form images.
In this module, the learners should be able to:
- predict the qualitative characteristics (orientation, type, and magnification) of images formed by plane and curved mirrors and lenses (S10FE-IIg-50); and
- apply ray diagramming techniques in describing the characteristics and position of images formed by mirrors and lenses.
This module allows you to learn in your own space and pace so have fun in reading and learning from this module!
To get the most out of this module, here are few reminders:
- Take your time to read and understand the module very well. Follow the instruction carefully.
- Use a separate sheet or Science notebook for your answers in the activities and assessment. Be sure to label your work by the activity number and title.
- Don’t hesitate to approach or contact your teacher or any knowledgeable person, whenever there’s something you don’t understand. There is also list of references to look into at the last part of this module.
- Before working on the activities, answer the Pretest first. It is a simple multiple-choice test provided at the start to determine how much you know about the content of this module.
- You will find activities to work on. After each activity go over the Assessment that follows as this will help you to have a better understanding of the topic. Pay attention to the items you missed.
- Take the posttest at the end of the module so that you will know how much you have learned.
- Check your answers to each pretest, activities, self-assessment and posttest against the answer key. This will give you an idea how well you understand the lesson. Review the lesson if necessary, until you have achieved a sufficient level of proficiency.
Let’s find out how much you know about the module. After taking pretest, you will find out your score. An answer key is provided at the end of the module.
What I Know
[illustration: hand holding a pencil icon]
Directions: Read carefully each item. Choose the letter that you think best answers the question. Write the answer in your notebook or sheet of paper.
Regular reflection is the _______________ reflection of light on a(n) _______________ surface.
a. even, smooth
b. even or uneven, rough
c. semi-smooth, rough
d. uneven, roughThe image you see on a plane mirror is placed in _________________ direction(s) of real image.
a. five
b. multiple directions
c. the opposite
d. the sameA plane mirror has a/an _________________ reflecting surface.
a. angled
b. concave
c. convex
d. flatDiffuse Reflection is a(n) ________________ reflection of light rays on a _______________ surface.
a. even, smooth
b. even or uneven, semi rough
c. semi-smooth, rough
d. uneven, roughScattering of light occurs when light waves travelling in _______________ direction(s) is/are made to travel in _________________ direction(s).
a. one, many
b. one, ten
c. many, one
d. several, oneWith Regular/Diffuse Reflection, the _____________ of the object will determine the SHARPNESS of reflection.
a. angle
b. color
c. surface
d. a and bAs per the Law of Reflection measured through the normal line, the angle of incidence is ____________ to the angle of reflection.
a. equal
b. greater than
c. less than
d. both a and bA concave mirror may form an image which is _______________. Which one of the following is incorrect?
a. real, erect and magnified
b. real, inverted and diminished
c. real, inverted and magnified
d. real, inverted and same sizeThe image in a convex mirror is always _______________________.
a. real, erect and diminished
b. real, erect and magnified
c. virtual, erect and diminished
d. virtual, inverted and diminishedThe image formed in a plane mirror is _______________________.
a. at the same distance in front of the mirror as the object is in front of the mirror.
b. at a shorter distance in front of the mirror than the distance that the object is in front of the mirror.
c. at the same distance behind the mirror as the object is in front of the mirror.
d. at a shorter distance behind the mirror than the distance the object is in front of the mirror.A typical mirror you look in at a home or in a restroom is a ____________ mirror.
a. concave
b. convex
c. parabolic
d. planeWhat type of lens produces smaller and upright images?
a. concave lens
b. converging lens
c. convex lens
d. cannot be determinedWhat type of lens is thicker at the center as compared to its edges?
a. concave
b. convex
c. parabolic
d. planeThe size of the image is always smaller than the object in ____________________.
a. concave mirror
b. convex mirror
c. plane mirror
d. silver mirrorWhat type of lens is use to correct nearsightedness?
a. concave
b. convex
c. parabolic
d. plane
[callout: Key to answers on page 27]
How was your performance in the pre-assessment? Were you able to answer all the problems?
If you got a perfect score, you can skip this module or still continue to further enrich your understanding. But if your score is 14 and below, you must proceed with the module.
Have fun in learning from this module!
Lesson 1: Qualitative Characteristics of Images
Light is form of energy that you can see! Every day, light waves reflect on objects and into your eyes, which allows you to see the objects. Light also helps you identify objects both near and far.
What’s In
[illustration: hand holding a puzzle piece icon]
In Grade 7, 8, and in the previous modules, you learned about electromagnetic spectrum. One of the most common among these electromagnetic waves is the visible light. Let us start our study of this module by reviewing first the properties and behavior of light when it comes in contact with something.
Directions: Fill in the blanks in the sentence below. Below each paragraph are words corresponding on the properties and behavior of light that you will encounter in this module. Write your answer on a clean sheet of paper.
Light is a natural agent that stimulates sight and make things possible. It is a type of energy known as 1. _____________. It is given out by luminous objects such as the sun, light bulbs and laser. It is made up of little packets of energy called 2. _____________. Light travels as waves. But unlike sound waves, it does not need any material to carry its energy along. This means that light can travel through a 3. _____________ – a completely airless space. Light waves travel out from their source in a straight lines called 4. _____________.
Word bank: electromagnetic radiation | photons | rays | vacuum
These exercises you have answered help you understand the nature of light.
Light behaves in a variety of ways when it comes in contact with water, air, and other matters. When light strikes matter, a part of light is 7. “” into the matter and is transformed into heat energy. If the matter that the light strikes is a transparent material, the light component that was not absorbed within the material is 8. “” through and exits to the outer side of the material. If the surface of the material is smooth (a mirror for example), 9. “” occurs, but if the surface is irregular having pits and protrusions, the light 10. “”.
Absorbed reflection scatters transmitted
These exercises you have answered help you understand the nature of light. In this module, you will do varied activities which will help you comprehend the qualitative characteristics of image formed in Plane Mirror, Concave Mirror, and Convex Mirror.
What’s New
“Light as Rays”
What you need: Plane Mirror Laser pointers Protractor
What you have to do:
a. Put your mirror carefully on the line labelled “mirror.
b. Point your laser along incident ray line.
c. Mark the reflected ray line that represent where the light ray goes after hitting the mirror.
d. Measure the angles between the normal line and incident ray. (Normal line is an imaginary line that is perpendicular to the surface.) Record this in the table. Then measure the angle between the reflected ray and the normal line. Put this result in the table too.
e. Repeat the procedure with all the other incident ray lines.
[chart: diagram; Figure 1. Paper Protractor]
Printed labels: mirror; H, G, F, E, D, C, B, A; incident ray lines; reflected ray lines; normal line.
Figure 1. Paper Protractor
- Using protractor complete the table by writing in the measurement of angle of incidence and angle of reflection. Do this in your activity notebook or a separate sheet of paper.
| Ray | Angle of Incidence | Angle of Reflection |
|---|---|---|
| A | ||
| B | ||
| C | ||
| D | ||
| E | ||
| F | ||
| G | ||
| H |
- Fill in the box in the sentences below. Choose the letter that you think best completes the statement. Do this in your activity notebook or a separate sheet of paper.
(i) Light is a form of energy which travels at a speed _____. a. 3 x 10⁸ m/s b. 8 x 10⁶ m/s
(ii) Reflection occurs when light _____ off an object. a. bounces b. transmitted
(iii) A mirror with a flat reflective surface is called _____. a. concave mirror b. plane mirror
(iv) The angle of incidence (i) is equal to the angle of _____ (r), and the incident ray, the _____ and the reflected ray are all in the same plane. a. normal, incident b. reflection, normal
(v) An image formed by the actual intersection of light rays is called _____. a. real b. virtual
(vi) An image formed by the apparent intersection of rays is called _____. a. real b. virtual
What is It
Reflection of Light in Mirrors
The laws of reflection state that:
- the incident ray, the reflected ray, and the normal line to the reflecting surface all lie in the same plane; and
- the angle of incidence is equal to the angle of reflection.
[chart: diagram; Figure 2. Reflection of a Light ray on a Plane Mirror]
Printed labels: Normal; Incident ray; Reflected ray; a line that is perpendicular to the surface; the ray of light coming from the light source towards a surface; the ray of light which leaves the mirror; Angle of incidence; i; r; Angle of reflection; the angle between the incident ray and normal line; the angle between the reflected ray and normal line; Mirror.
Figure 2. Reflection of a Light ray on a Plane Mirror
Reflection in Plane Mirror
When light hits an object, every part of that object reflects light in all direction. Some of the reflected light reaches our eyes. Thus, we can see an object.
Characteristics of images formed by a plane mirror:
- Image is virtual;
- Same size as the object;
- Same orientation as the object; and
- Same distance from the mirror as the object.
[photo: reflection in a plane mirror, showing two pyramid-shaped objects with flames standing in front of the mirror]
Figure 3. Reflection in a plane Mirror
Types of Reflection of Light
a. Specular/Regular reflection. It is defined as light reflected from a smooth surface at a definite angle.
b. Diffused/Irregular Reflection. It is produced by rough surfaces that tend to reflect light in all directions.
[photo: mountains reflected on calm water]
(a)
[photo: mountains reflected on wavy water]
(b)
Figure 4. (a) Mountains and its reflection on calm water (b) Mountains and its reflection on wavy water
The phenomenon by which a ray of light changes the direction of propagation when it strikes a boundary between different media through which it cannot pass is described as the reflection of light.
If the bundle of light rays is incident upon a smooth surface, then the light rays reflect and remain concentrated in a bundle upon leaving the surface. On the other hand, if the surface is microscopically rough, the light rays will reflect and diffuse in many different directions.
[illustration: parallel light rays on a smooth surface reflecting in one direction (a); parallel light rays on a rough surface reflecting in different directions (b)]
Specular Reflection (smooth surface) (a) Diffuse Reflection (rough surface) (b)
Figure 5. (a) Parallel light rays reflect in one direction. (b) Parallel light rays reflect in different directions.
Mirror Left-Right Reversal
If you view an image of yourself in a plane mirror (perhaps a bathroom mirror), you will quickly notice that there is an apparent left-right reversal of the image. That is, if you raise your left hand, you will notice that the image raises what would seem to be its right hand. If you raise your right hand, the image raises what would seem to be its left hand. This is often termed left-right reversal.
[illustration: a woman raising her hand in front of a mirror, her image raising the opposite hand]
Figure 6. Mirror Left-Right Reversal
The letters in front of the ambulance are written laterally. This is because when seen in rear view mirror by another vehicle, the image of the word would get inverted, letting the driver read the word properly so that he can provide way to the ambulance.
[illustration: the word AMBULANCE written normally and mirror-reversed; an ambulance with reversed lettering on its front; the same ambulance seen in a rear-view mirror with the word readable]
Figure 7. Mirror Left-Right Reversal
Reflection on Spherical Mirrors
Most curved mirrors are called spherical mirrors because their shape follows the surface of a sphere.
Two Kinds of Spherical Mirrors:
- The Concave Mirror
- It reflects light inward to one focal point. It is used to focus light.
- Also known as converging mirror has a reflecting surface that is recessed inward (away from the incident light).
[illustration: parallel rays converging at focal point F after reflecting from a concave mirror, labeled “converging” mirror]
Figure 9. Parallel rays converge after reflection on a concave mirror
- The Convex Mirror
- Also known diverging mirror is a curved mirror in which the reflective surface bulges towards the light source.
- Convex mirrors reflect light outwards; therefore they are not used to focus light.
[illustration: parallel rays diverging after reflecting from a convex mirror, with focal point F shown behind the mirror, labeled “diverging” mirror]
Figure 10. Parallel rays diverge after reflection on a convex mirror
There are two types of images formed by reflecting surfaces.
[illustration: ray diagrams; left, an object and its image formed by a concave mirror with labels Object, Image, Center of Curvature, Focal Point, Concave Mirror; right, a virtual image formed by a convex mirror with labels Convex Mirror, Virtual Image, Focal Point, Center of Curvature]
Figure 11. Reflection from Concave and Convex Mirror
| Real Image | Virtual Image |
|---|---|
| 1. A real image is formed when light rays actually meet after reflection. 2. A real image can be formed on a screen. 3. A real image is inverted with respect to the object. e.g. The image of a distance object formed by a concave mirror. | 1. A virtual image is formed when light rays do not actually intersect after reflection, but they appear to diverge from the mirror. 2. A virtual image cannot be formed on a screen. 3. A virtual image is erect with respect to the object. e.g. The image of an object formed by a convex mirror. |
Ray Diagram and Image Formation by Plane Mirror
A plane mirror makes an image of objects in front of the mirror; the image appears to be behind the plane in which the mirror lies. An image is formed by reflection when two or more reflected rays of a point meet at a single point. The image is formed at the point of intersection of the reflected rays.
[chart: diagram; Figure 8. Image Formation by Plane Mirror]
Printed labels: Incident ray; Reflected ray; Incident ray; Reflected ray; Object; Image.
Figure 8. Image Formation by Plane Mirror
| Image Formation by Plane Mirror | |
|---|---|
| Location | Behind the mirror |
| Orientation | Upright |
| Size | Same size as the object |
| Type | Virtual |
Images Formed by Curved Mirrors
In locating the image formed in curved mirror graphically, six important points are considered. The following important points are enumerated below.
- Center of Curvature, C – the center of the sphere whose surface forms the curved mirror
- Focal Point, F – where the light rays meet
- Vertex, V – the point where the principal axis meets the mirror
- Principal Axis – the straight line passing through the center of curvature to the mirror
- Focal Length, f – the distance from the focal point to the vertex
- Radius of Curvature, R – the distance from the vertex to the center of the curvature
[chart: diagram; Figure 12. Curved Mirrors]
Printed labels: Principal Axis; C; F; V; R; f.
Figure 12. Curved Mirrors
Since the focal point is the midpoint of the line segment adjoining the vertex and the center of curvature, the focal length would be one-half the radius of curvature.
Location, Orientation, Size, and Type of Image Formed in Concave Mirror
| Location of Object | Image: Location | Image: Orientation (upright or Inverted) | Image: Sized (same, reduced or enlarged) | Image: Type (real or virtual) |
|---|---|---|---|---|
| A. Beyond Center of Curvature [illustration: ray diagram, object beyond C] | Between C and F | Inverted | Reduced | Real |
| B. At the Center of Curvature [illustration: ray diagram, object at C] | At C | Inverted | Same | Real |
| D. At the Focus [illustration: ray diagram, object at F] | No Image Formed |
Location, Orientation, Size, and Type of Image Formed in Convex Mirror
| Location of Object | Image: Location | Image: Orientation (upright or Inverted) | Image: Sized (same, reduced or enlarged) | Image: Type (real or virtual) |
|---|---|---|---|---|
| A. Anywhere you put the object in front of a convex mirror. [illustration: ray diagram, object in front of a convex mirror] | Anywhere you put the object in front of a convex mirror. | Upright | Reduced | Virtual |
Difference Between Convex and Concave Lens
| BASIS FOR COMPARISON | CONVEX LENS | CONCAVE LENS |
|---|---|---|
| Meaning | Convex lens refers to the lens which merges the light rays at a particular point, that travels through it. | Concave lens can be identified as the lens which disperses the light rays around, that hits the lenses. |
| Figure | [illustration: convex lens outline] | [illustration: concave lens outline] |
| Curve | Outward | Inward |
| Light | Converges | Diverges |
| Center and Edges | Thicker at the center, as compared to its edges. | Thinner at the center as compared to its edges. |
| Focal Length | Positive | Negative |
| Image | Real and Inverted image. Also produces virtual, erect and enlarged image in a magnifying glass. | Virtual, erect and diminished image. |
| Objects | Appear closer and larger | Appear smaller and farther. |
| Used to | Correct hyperopia | Correct myopia. |
What’s More
Here are some enrichment activities for you to work on to strengthen the basic concepts you have learned from our mini-lesson and to validate your observations in the activity part.
Enrichment Activity 1 “Multiple Reflection”
A mirror reflects everything in front of it including another mirror. If you place two mirrors at an angle, you increase the number of reflected images you can see. Depending on the angle you choose, you can see a number of unbroken reflections and one or more composite or partial reflections. What would you think would happen if an object was reflected by plane mirrors three times? Four times? Five times?
What you need:
- Science notebook or answer sheet
- A pencil or some other object, such as a pen, one peso coin or paper clip
- 2 plane mirrors
- Paper
- Protractor
What you have to do:
- Take two plane mirrors and place them together with the shiny sides facing one another. Tape them along the side to form a hinged door.
- Take a piece of paper or cardboard. Using a protractor, measure and mark angles (by drawing a line) of 180°, 120°, 90°, 60°, 45°
- Place the hinged mirrors at each of these angles and put an object (it could be a coin, a pencil, an eraser, or some other item you may have at your desk) between them as close to the mirrors as possible.
- Count the number of images you see and record your observations in the observation table.
- When you are finished, answer the following questions in your worksheet.
Assessment 1
Direction: Use a separate sheet for your answers.
- Observation Table
| Angle (degrees) | Number of Images |
|---|---|
| 180° | |
| 120° | |
| 90° | |
| 60° | |
| 45° |
What happened to the number of images you saw as you changed the angle from 60° to 45° between the mirrors?
- a. as angle decreased, more reflections will occur
- b. as angle decreased, fewer reflections will occur
What happened to the number of images you saw as you changed the angle from 90° degrees to 120°?
- a. as angle decreased, more reflections will occur
- b. as angle decreased, fewer reflections will occur
Can you now make a statement about how the angles between the mirrors determine the number of images that will be produced?
- A. N = (360/angle between the mirror) -1
- B. N = (360/angle between the mirror) +1
Enrichment Activity 2 “Mirror Left-Right Reversal”
- Stand in front of a plane mirror.
- Raise your left hand.
[illustration: woman standing in front of a plane mirror raising her left hand; the mirror shows her reflection raising the right hand]
Figure 14. Mirror Left-Right Reversal
Assessment 2
Direction: Answer the following questions on your answer sheet.
Is your image exactly the same size as you are?
- A. image is exactly the same
- B. image is virtual
What hand does your image raise?
- A. right hand
- B. left hand
Is your image erect or inverted? Is it real or virtual?
- B. inverted, real
- B. erect, virtual
[transcriber’s note: both answer choices for item 3 are printed as “B.”]
Enrichment Activity 3 “Image Formed by Curved Mirrors”
- Get a spoon. This can serve as your mirror.
- Look at the concave surface of the spoon. Place the mirror vey near your face.
- Bring the spoon on arm length distance away from you.
- Look now at the convex surface of the spoon. Observe your image as you bring the spoon farther form you.
[photo: spoon held near the face, showing the image from the outer side of a spoon and the image from the inner side of a spoon]
Figure 15. Image in Spherical Mirror
Assessment 3
Directions: Answer the following questions. Use a separate sheet.
Describe your image as you look at your face on the concave surface of the spoon.
- A. erect, virtual
- B. inverted, real
Describe your image after you bring the spoon on arm length distance away from you using the concave surface of the spoon.
- A. appear as real image
- B. appear as virtual image
Describe your image as you look at your face on the convex surface of the spoon.
- A. erect, virtual
- B. inverted, real
Describe your image after you bring the spoon on arm length distance away from you using the convex surface of the mirror.
- A. appear as real
- B. appear as virtual
Assessment 4 “The L-O-S-T Art of Image Description in Spherical Mirrors”
The following figures below show the ray diagrams for the formation of image by a concave and convex mirror for various positions of the object. Use a Table below to summarize the characteristics and location of the images formed. Use a separate sheet for your answers.
| Location of Object | Image: Location | Image: Orientation (upright or Inverted) | Image: Sized (same, reduced or enlarged) | Image: Type (real or virtual) |
|---|---|---|---|---|
| CONCAVE | ||||
| a. Between the Center of Curvature and Focus [chart: ray diagram of a concave mirror; object placed between C and F; labels: Object, Image, C, F] | ||||
| b. Between Focal Point and Mirror [chart: ray diagram of a concave mirror; object placed between F and the mirror; labels: Object, Image, C, F] | ||||
| CONVEX | ||||
| a. Between F and V in front of the Mirror [chart: ray diagram of a convex mirror; labels: Image, Object, C, F] |
What I Have Learned
Great job! You are almost done with this module. Let’s summarize what you have learned from the lesson and activities by answering the following in a separate sheet.
A. Below are the qualitative characteristics of images. Determine whether it is REAL or VIRTUAL type of images:
- _____ is upright.
- _____ is inverted.
- _____ is behind the mirror.
- _____ is formed by convex mirror.
- _____ can be projected onto a screen.
- _____ is inverted with the respect to the object.
- _____ is on the same side of the mirror as object.
- _____ rays of light do not actually pass through the image.
- _____ can be larger, smaller, or the same size as the object.
- _____ rays of light actually converge and pass through the image.
B. Identify whether the following is PLANE, CONCAVE or a CONVEX MIRROR
- _____ forms images that are either behind the mirror or on the same side as the object.
- _____ forms images that are always the same distance from the mirror as the object.
- _____ forms images that are either smaller/same size/larger than the object.
- _____ forms images that are the same size as the object only.
- _____ forms images that have left to right reversal.
- _____ forms images that are either real or virtual.
- _____ forms images that are upright or inverted.
- _____ forms images that are behind the mirror.
- _____ forms images that are always reduced.
- _____ forms images that are always upright.
- _____ forms images that are only virtual.
- _____ forms real or virtual images.
- _____ forms only virtual images.
- _____ is flat, smooth mirror.
- _____ is a curved mirror.
C. Identify whether the following is CONCAVE or a CONVEX LENS
In the _____, the curve faces inward.
In the _____, the curve faces outward.
_____ is a diverging lens that spreads out the light.
_____ is thicker at the center, as compared to its edges.
_____ is thinner at the center, as compared to its edges.
_____ is use for correction of nearsightedness or myopia.
_____ is use for correction of farsightedness or hyperopia.
_____ is a converging lens which converges the refracted rays.
_____ is called negative lens because of its negative focal length nature.
_____ is called positive lens because of its positive focal length nature.
What I Can Do
Think whether the given objects below act as a CONCAVE or CONVEX.
| Number | Object | Types of Mirror |
|---|---|---|
| 1 | Vehicle side view mirror | |
| 2 | Water glass surface | |
| 3 | Head light of motorcycle | |
| 4 | Tube lights | |
| 5 | Inner surface of glasses | |
| 6 | Lunch plates | |
| 7 | Calling bell | |
| 8 | Surface of pens | |
| 9 | Globe | |
| 10 | Surface of steel flask |
Assessment
Posttest
Directions: Read carefully each item. Choose the letter that you think best answers the question. Write the answer in your notebook or sheet of paper.
The reflection by the rough surfaces that tend to reflect light in all directions is called _______________.
- a. diffused reflection
- b. glossy reflection
- c. regular reflection
- d. specular reflection
The image you see in a plane mirror called a _______________ image because it is not a real, physical object.
- a. imaginary
- b. physical
- c. reflected
- d. virtual
When the image of an object is seen in a plane mirror the image is _______________
- a. real and inverted
- b. real and upright
- c. virtual and inverted
- d. virtual and upright
Diffuse Reflection is produced by _______________ surfaces that tend to reflect light
in all directions.
- a. rough
- b. semi rough
- c. semi smooth
- d. smooth
Out of the following which one is diverging on negative lens?
- a. concave lens
- b. convex lens
- c. parabolic lens
- d. plane lens
The center of curvature is denoted by letter _______________.
- a. c
- b. C
- c. o
- d. O
If the angle of incidence between the incident ray and the normal line is 25 degrees, what is the angle of reflection?
- a. 65 degrees
- b. 45 degrees
- c. 35 degrees
- d. 25 degrees
When the image is seen in the concave mirror, the image will _______________.
- a. always be real
- b. always be virtual
- c. be either real or virtual
- d. will always be magnified
When the image is seen in the convex mirror, the image will _______________.
- a. always be real
- b. always be virtual
- c. be either real or virtual
- d. will always be magnified
The focal length is equal to the half of the _______________.
- a. center of curvature
- b. principal axis
- c. radius of curvature
- d. none of the above
The focal length is denoted by the letter _______________.
- a. f
- b. F
- c. P
- d. p
A spherical mirror with reflecting surface curved inwards is called _______________.
- a. concave mirror
- b. convex mirror
- c. curved mirror
- d. none of the above
The distance from the focal point to the vertex is called _______________.
- a. center of curvature
- b. focal length
- c. focal point
- d. vertex
Which lens is used to magnify objects and refract light? This type of lens is curved outward.
- a. concave lens
- b. convex lens
- c. parabolic lens
- d. plane lens
Which describes a concave lens?
- a. more transparent in the middle
- b. thinner in the middle than on the edges
- c. thinner on the edges than in the middle
- d. triangular in shape.
[transcriber’s note: this page is printed upside down; the text below is transcribed in reading order after rotating the page]
Answer Key
What’s In
- electromagnetic radiation
- photons
- vacuum
- rays
- absorbed
- transmitted
- reflection
- scatters
Assessment
| Item | Pretest | Post Test |
|---|---|---|
| 1 | A | A |
| 2 | C | D |
| 3 | D | D |
| 4 | D | A |
| 5 | A | A |
| 6 | C | B |
| 7 | A | D |
| 8 | A | C |
| 9 | A | B |
| 10 | C | C |
| 11 | D | B |
| 12 | A | A |
| 13 | B | B |
| 14 | B | B |
| 15 | A | B |
What’s New
| Ray | Angle of Incidence | Angle of Reflection |
|---|---|---|
| A | 80 | 80 |
| B | 70 | 70 |
| C | 60 | 60 |
| D | 50 | 50 |
| E | 40 | 40 |
| F | 30 | 30 |
| G | 20 | 20 |
| H | 10 | 10 |
- (i) a. 3×10^8 m/s
(ii) a. bounces
(iii) b. plane mirror
(iv) a. reflection, normal
(v) a. real
(vi) b. virtual
What’s More
Assessment 1
| Angle (degrees) | Number of Images |
|---|---|
| 180 | 1 |
| 120 | 2 |
| 90 | 3 |
| 60 | 5 |
| 45 | 7 |
- As angle decreased, more reflections will occur
- As angle increased, fewer reflections will occur
- N = (360/angle between the mirror) – 1
Assessment 2
- Image is exactly the same
- Right hand
- Erect, virtual
Assessment 3
- Inverted, real
- Appear as real image
- erect, virtual
- Appear as virtual
What’s More
Assessment 4
| Location of Object | Image: Location | Image: Orientation (upright or inverted) | Image: Sized (same, reduced or enlarged) | Image: Type (real or virtual) |
|---|---|---|---|---|
| CONCAVE | ||||
| [illustration: ray diagram of a concave mirror; labels: Object, Image, F, C] a. Between the Center of Curvature and Focus | Beyond C | Inverted | Enlarged | Real |
| [illustration: ray diagram of a concave mirror; labels: Object, Image, F, C] b. Between Focal Point and Mirror | Behind the Mirror | Upright | Enlarged | Virtual |
| CONVEX | ||||
| [illustration: ray diagram of a convex mirror; labels: Object, Image, F, C] c. Between F and V in front of the Mirror | Between F and V | Upright | Reduced | Virtual |
What I Have Learned
A.
- Virtual
- Real
- Virtual
- Virtual
- Real
- Real, Virtual
- Real
- Virtual
- Real
- Real
B.
- Concave
- Plane
- Concave
- Plane
- Plane
- Concave
- Concave
- Concave
- Convex
- Plane, Convex
- Plane, Convex
- Concave
- Plane, Convex
- Plane
- Concave, Convex
C.
- Concave lens
- Convex lens
- Concave lens
- Convex lens
- Concave lens
- Concave lens
- Convex lens
- Convex lens
- Concave lens
- Convex lens
What I Can Do
- Convex
- Convex
- Concave
- Convex
- Concave
- Concave
- Convex
- Convex
- Convex
- Convex
References
Book:
Science Learner’s Material for Grade 10, First Edition, 2015
Electronic Sources:
http://aven.amritalearning.com/index.php?sub=101&brch=299&sim=1511&cnt=3501
https://www.asc.ohio-state.edu/humanic.1/p1201lecture15.pdf
http://dev.physicslab.org/Document.aspx?doctype=3&filename=GeometricOptics_PlaneMirrors.xml
http://hyperphysics.phy-astr.gsu.edu/hbase/geoopt/mirray.html
http://dev.physicslab.org/Document.aspx?doctype=3&filename=GeometricOptics_PlaneMirrors.xml
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