Images in Concave Mirrors. Properties  The mirror has a reflecting surface that curves inward.  When you look at objects in the mirror, the image appears.

Slides:



Advertisements
Similar presentations
Learning Outcome Draw a ray diagram to find the position, nature and size of the image produced by a concave and convex mirrors.
Advertisements

Light, Reflection, & Mirrors
CURVED MIRRORS-Concave and Convex
TOC 1 Physics 212 and 222 Reflection and Mirrors What do we see? Law of Reflection Properties of Spherical Mirrors Ray Tracing Images and the Equations.
→ ℎ
Light and Optics Mirrors and Lenses. Types of Mirrors Concave mirrors – curve inward and may produce real or virtual images. Convex mirrors – curve outward.
14-3: Curved Mirrors.
Plain Mirror Style SNC2D
 Mirrors that are not flat are called curved mirrors.  Depending on whether the reflective coating is on the inside or outside of the curve will decide.
Reflection from Curved Mirrors. 2 Curved mirrors The centre of the mirror is called the pole. A line at right angles to this is called the principal axis.
Reflection of Light. When light rays hit an object, they change direction. The type of surface the light encounters determines the type of reflection.
Curved Mirrors.
air water As light reaches the boundary between two media,
Concave Mirrors Can Form Real Inverted Images. Topic4.4 (Pages ) TODAY WE WILL... Have a quick review about plane mirrors, and the terms of a concave.
Mirrors Physics 202 Professor Lee Carkner Lecture 22.
Curved Mirrors. Two types of curved mirrors 1. Concave mirrors – inwardly curved inner surface that converges incoming light rays. 2. Convex Mirrors –
Physics 110G Light TOC 1 What do we see? Law of Reflection Properties of Spherical Mirrors Ray Tracing Images and the Equations.
Reflection Physics Department, New York City College of Technology.
Curved Mirrors and Ray Diagrams SNC2D. Concave Mirrors A concave mirror is a curved mirror with the reflecting surface on the inside of the curve. The.
10.3 Images in Concave Mirrors. Concave Mirror Unlike a plane mirror, a curved mirror produces an image that is a different size, shape, and/or orientation.
Curved Mirrors The most common type of curved mirror is a spherical mirror A spherical mirror has the shape of a section from the surface of a sphere.
Spherical Mirrors Spherical mirror – a section of a sphere of radius R and with a center of curvature C R C Mirror.
Images in Concave Mirrors. Properties  The mirror has a reflecting surface that curves inward.  When you look at objects in the mirror, the image appears.
SPHERICAL MIRRORS. Curved Mirrors  Curved mirrors are also called spherical mirrors because they are part of a sphere (ball)  a portion of the sphere.
Ray Model A useful model under certain circumstances to explain image formation. Ray Model: Light travels in straight-line paths, called rays, in ALL.
There are some mirrors that distort the reflected image. Cosmetic mirrors magnify things, and other mirrors make things look smaller.
Curved Mirrors. Types of curved mirrors: Concave mirror –A mirror whose reflecting surface curves inward – Converging mirror Convex mirror –A mirror whose.
Grade 10 Applied Science – Curved Mirrors
Chapter 25 The Reflection of Light: Mirrors. LAW OF REFLECTION The incident ray, the reflected ray, and the normal to the surface all lie in the same.
Curved Mirrors: Locating Images in Concave & Convex Mirrors.
Reflection Regular reflection occurs when parallel light rays strike a smooth surface and reflect in the same direction. Diffuse reflection occurs when.
Plane Mirror Suppose we had a flat , plane mirror mounted vertically. A candle is placed 10 cm in front of the mirror. WHERE IS THE IMAGE OF THE CANDLE.
PROOF OF d i = d o ii rr 11 22 . DESCRIPTION OF d i = d o  Ray of light leaves base & strikes mirror at  i (reflected at same  )  Angles.
Concave and Convex Mirrors
Geometric Optics This chapter covers how images form when light bounces off mirrors and refracts through lenses. There are two different kinds of images:
Section 5.3 Images in Curved Mirrors 1.  Concave mirrors have a reflecting surface that curves inward like the inside of a spoon.  Some common uses:
Plain Mirror Style SNC2D. Angles – What’s It All Mean?
Light and Reflection Curved Mirrors. Concave Spherical Mirrors Concave spherical mirror – an inwardly curved, spherical mirrored surface that is a portion.
Properties of Reflective Waves Curved Mirrors. Image close to a concave mirror appear:
Curved Mirrors Chapter 14, Section 3 Pg
Ray Diagrams Basics Mirror Equations
Chapter 7 Light and Geometric Optics
Lesson 3.  describe, quantitatively, the phenomena of reflection  use ray diagrams to describe an image formed by thin lenses and curved mirrors.
the turning back of an electromagnetic wave at the surface of a substance INCIDENT RAY REFLECTED RAY.
Concave Mirrors Reflection, Image Height, and Distance.
Plane Mirror: a mirror with a flat surface
Reflection & Mirrors. Reflection The turning back of an electromagnetic wave (light ray) at the surface of a substance. The turning back of an electromagnetic.
The amount of reflection depends on how different the media are.
LIGHT.
Unit 8 – Curved Mirrors. Unit 8 – Concave Spherical Mirror Concave spherical mirror: a mirror whose reflecting surface is a segment of the inside of a.
Unit 6: Lenses and Mirrors 313 Fall Agenda 11/30/15 Review Unit 5 Exam: – Learning Target Check Begin Quarter 2 Project.
Reflection Regular reflection occurs when parallel light rays strike a smooth surface and reflect in the same direction. Diffuse reflection occurs when.
Calculate distances and focal lengths using the mirror equation for concave and convex spherical mirrors. Draw ray diagrams to find the image distance.
Drawing Ray Diagrams for Plane Mirrors
Reflection Regular reflection occurs when parallel light rays strike a smooth surface and reflect in the same direction. Diffuse reflection occurs when.
Mirrors.
Reflection of Light Reflection – the turning back of an electromagnetic wave at the surface of a substance.
Millions of light rays reflect from objects and enter our eyes – that ’ s how we see them! When we study the formation of images, we will isolate just.
Curved Mirrors
Reflections in Mirrors
Light in Curved Mirrors
Images formed by Mirrors
CURVED MIRRORS.
Curved Mirrors There are concave mirrors that are curved inward
Plain Mirror Style SNC2D
4.4 Concave and Convex Mirrors
Millions of light rays reflect from objects and enter our eyes – that’s how we see them! When we study the formation of images, we will isolate just a.
Millions of light rays reflect from objects and enter our eyes – that’s how we see them! When we study the formation of images, we will isolate just a.
Millions of light rays reflect from objects and enter our eyes – that’s how we see them! When we study the formation of images, we will isolate just a.
Light, Reflection, & Mirrors
Presentation transcript:

Images in Concave Mirrors

Properties  The mirror has a reflecting surface that curves inward.  When you look at objects in the mirror, the image appears distorted.

Ray Diagram  You can apply the same rules of reflection for a plane mirror by thinking of the curved surface as many small, flat mirrors. Small, flat mirrors

 If you draw the normal for each of the small mirrors, they will all meet at one point called the centre of curvature (C) of the mirror. Centre of curvature

 The thick, horizontal normal that touches the centre of the mirror is called the principal axis. It helps you locate the positions of objects that are in front of the mirror. The point at which the principal axis cuts the mirror is called the vertex (V). C Principal axis vertex

 If an incident ray passes through the centre of curvature, the angle of reflection will be zero since it passes over the normal and reflects back on itself. C

 When the incident ray is put parallel to the principal axis, it intersects the principal axis at a point called the focal point (F).  The focal length is the distance between the vertex of a mirror and the focal point.  When the incident ray is put parallel to the principal axis, it intersects the principal axis at a point called the focal point (F).  The focal length is the distance between the vertex of a mirror and the focal point. Focal point Rays parallel to principal axis Focal length

 When drawing a ray diagram to predict the position of an image, it is helpful to draw the object so that the bottom is on the principal axis.  This means that the bottom of the image will be on the principal axis too.  Use the laws of reflection to draw 2 incident rays.  Trace back the reflected rays to locate the image point for the top of the object.  When drawing a ray diagram to predict the position of an image, it is helpful to draw the object so that the bottom is on the principal axis.  This means that the bottom of the image will be on the principal axis too.  Use the laws of reflection to draw 2 incident rays.  Trace back the reflected rays to locate the image point for the top of the object.

Steps…  The first ray put through the top of the object, parallel to the principal axis (it will pass through the focal point)  Second ray: through top of object and through focal point, it should be parallel to principal axis.  Third ray: drawn through the centre point to the top of the object (should reflect back on itself)  The first ray put through the top of the object, parallel to the principal axis (it will pass through the focal point)  Second ray: through top of object and through focal point, it should be parallel to principal axis.  Third ray: drawn through the centre point to the top of the object (should reflect back on itself)

You try it!!  Follow 10.2 and draw a ray diagram for an object that is between the focal point and the mirror. List the characteristics of the image.  Follow 10.3 and draw a ray diagram for an object that is between the centre of curvature and the focal point. List the characteristics of the image  Follow 10.4 and draw a ray diagram for an object that is behind the centre of curvature and the focal point. List the characteristics of the image  Follow 10.2 and draw a ray diagram for an object that is between the focal point and the mirror. List the characteristics of the image.  Follow 10.3 and draw a ray diagram for an object that is between the centre of curvature and the focal point. List the characteristics of the image  Follow 10.4 and draw a ray diagram for an object that is behind the centre of curvature and the focal point. List the characteristics of the image

Mirror and Magnification Equations  You can predict the characteristics of an image using 2 equations: the mirror equation and the magnification equation.  Mirror equation: allows you to calculate the location of the image. 1 = f d i d o  Magnification: tells you the size/height of the image relative to the object. m = h i = -d i h o d o  You can predict the characteristics of an image using 2 equations: the mirror equation and the magnification equation.  Mirror equation: allows you to calculate the location of the image. 1 = f d i d o  Magnification: tells you the size/height of the image relative to the object. m = h i = -d i h o d o

Example:  Problem: A concave mirror has a focal length of 12cm. An object with a height of 2.5cm is placed 40.0cm in front of the mirror. Calculate the distance and height.  A) mirror equation: 1 = f d i d o (rearrange the formula) 1 = d i f d o (substitute) 1 = d i 12cm 40.0cm (solve) d i = 17.14cm  Problem: A concave mirror has a focal length of 12cm. An object with a height of 2.5cm is placed 40.0cm in front of the mirror. Calculate the distance and height.  A) mirror equation: 1 = f d i d o (rearrange the formula) 1 = d i f d o (substitute) 1 = d i 12cm 40.0cm (solve) d i = 17.14cm

 The image is 17cm from the mirror. It is a positive number, so it will be in front of the mirror.  B) Magnification: m = h i = -d i h o d o __ h i__ = cm 40.0 h i = -1.07cm The height is 1.1cm. The image height is negative, so the image is inverted.  The image is 17cm from the mirror. It is a positive number, so it will be in front of the mirror.  B) Magnification: m = h i = -d i h o d o __ h i__ = cm 40.0 h i = -1.07cm The height is 1.1cm. The image height is negative, so the image is inverted.

You Try It!!!  P. 427 # 1-5  P. 430 # 3-8  P. 427 # 1-5  P. 430 # 3-8

Curved Mirrors - CONCAVE 1.Draw object at desired length away from the mirror 2.Draw a ray parallel to your axis until it hits your mirror. 3. Reflect this ray through your focal point

4. Draw a new light ray that goes through the focal point FIRST before it hits the mirror 5.Reflect this ray parallel to your axis. 6. At the point of intersection of your reflected rays is the top of your new object

CONCAVE Finished Product

Curved Mirrors - CONVEX 1.Draw object in front of your convex mirror 2.Draw a ray parallel to your axis until it hits your mirror. 3.The reflected ray needs to be extended into the virtual side of your mirror, through the focal point.

4.Draw a new light ray that would go through the focal point if it could. Stop the ray when it hits in the mirror. 5.Reflect this ray parallel to your axis 6. At the point of intersection of your reflected rays is the top of your new object

CONVEX – Finished Product

SEATWORK FOR TODAY Complete a Plain Mirror Ray Diagram for any slanted object Complete a Concave Ray Diagram for an object of your choice. Complete a Convex ray diagram for an object of your choice.