(10.3/10.4) Mirror and Magnification Equations (12.2) Thin Lens and Magnification Equations.

Slides:

Advertisements

Similar presentations

Introduction to Mirrors

Advertisements

Lenses. Transparent material is capable of causing parallel rays to either converge or diverge depending upon its shape.

Geometric Optics Chapter Thin Lenses; Ray Tracing Parallel rays are brought to a focus by a converging lens (one that is thicker in the center.

Optics Review #1 LCHS Dr.E.

14-3: Curved Mirrors.

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.

Curved Mirrors.

Curved Mirrors Chapter 13 Section 3. Mirror Terminology  Ccenter of curvature  Rradius of curvature.

1 Converging Lenses  If we think of a double convex lens as consisting of prisms, we can see how light going through it converges at a focal point (assuming.

Ch. 18 Mirrors and Lenses Milbank High School. Sec Mirrors Objectives –Explain how concave, convex, and plane mirrors form images. –Locate images.

PH 103 Dr. Cecilia Vogel Lecture 5. Review  Refraction  Total internal reflection  Dispersion  prisms and rainbows Outline  Lenses  types  focal.

26.6 Lenses. Converging Lens Focal length of a converging lens is real and considered positive.

Curved Mirrors. Two types of curved mirrors 1. Concave mirrors – inwardly curved inner surface that converges incoming light rays. 2. Convex Mirrors –

Magnification and Mirror Equations

Print: 8 Demo:.

Thin Lenses If the thickness of the lens is small compared to the object and image distances we can neglect the thickness (t) of the lens. All thin lenses.

Goal: To understand how mirrors and lenses work

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.

Abigail Lee. Lenses refract light in such a way that an image of the light source is formed. With a converging lens, paraxial rays that are parallel to.

Ch. 14 Light and Reflection. Flat Mirrors Simplest mirror Object’s image appears behind the mirror Object’s distance from the mirror is represented as.

Mirror equation How can we use ray diagrams to determine where to place mirrors in a telescope/ We need to know where the image will be formed, so that.

Magnifications in Mirrors & Lenses.  A measure of how much larger or smaller an image is compared with the object itself. Magnification = image height.

Textbook sections 26-3 & 26-4 Physics 1161: Lecture 21 Curved Mirrors.

Chapter 14 Light and Reflection

Light: Geometric Optics Chapter Ray Model of Light Light travels in a straight line so a ray model is used to show what is happening to the light.

8. Thin lenses Thin lenses are those whose thickness is small compared to their radius of curvature. They may be either converging or diverging. 1) Types.

Optics Review #1 LCHS Dr.E. When a light wave enters a new medium and is refracted, there must be a change in the light wave’s (A) color (B) frequency.

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:

Images formed by lenses. Convex (converging) lenses, f>0.

Properties of Reflective Waves Curved Mirrors. Image close to a concave mirror appear:

Curved Mirrors Chapter 14, Section 3 Pg

Mirror and Magnification Equations

Mirror Equation Ray diagrams are useful for determining the general location and size of the image formed by a mirror. However, the mirror equation and.

Unit 3 – Light & Optics. v  There are five (5) different situations, depending on where the object is located.

Thin Lens Optics Physics 11. Thin Lens Optics If we have a lens that has a small diameter when compared to the focal length, we can use geometrical optics.

Lesson 4 Define the terms principal axis, focal point, focal length and linear magnification as applied to a converging (convex) lens. Define the power.

Today’s agenda: Death Rays. You must know when to run from Death Rays. Refraction at Spherical Surfaces. You must be able to calculate properties of images.

24 Geometric Optics Water drop as a converging lens.

Ray Diagrams for Lenses. Convex (Converging) Lenses There are two Focal points One in Front and one Behind Focal point is ½ way between Center of Curvature.

The Thin Lens Equation. Let’s us predict mathematically the properties of an image produced by a lens.

Unit 3: Light.  Symbols used: ◦ Ho- height of the object ◦ Hi- height of the image ◦ m-magnification ◦ do (or p)- distance between object and vertex.

Thin Lens Chapter Bending of Light Any transparent object that is curved with affect the path of light rays. Ex: o Glass bottle full of water will.

Plane Mirror: a mirror with a flat surface

Lenses General Physics Java Applets. Images in Lenses S ize, A ttitude, L ocation, T ype Size –Is the image bigger, smaller or the same size as the object?

Mirrors.  Recall: images formed by curved mirrors depend on position of image  Images could be: Real or virtual Upright or inverted Smaller or larger.

Physics 212 Lecture 27, Slide 1 Physics 212 Lecture 27: Mirrors.

Mirrors. Types of mirror There are two types of mirror Plane (flat) Curved Concave (curves in) Convex (curves out)

How Does a Lens Work? Light travels slower in the lens material than in the air around it. This means a linear light wave will be bent by the lens due.

Thin Lenses. Two Types of Lenses Converging – Thicker in the middle than on the edges FOCAL LENGTH (+) POSITIVE Produces both real and virtual images.

Reflection & Mirrors Topic 13.3 (3 part lesson).

Lenses Topic 13.4.

Mirror Equations Lesson 4.

06 – Concave or Converging Mirrors

Curved Mirror Equations

13.4 The Lens Equation.

Refraction at Spherical Surfaces.

Free-Response-Questions

MIRROR EQUATIONS.

Unit 8, Lesson 7 Convex Lenses.

Equations with Lenses SNC2D.

Mirrors Physics Mr. Berman.

Thin Lens Equation 1

Lens Equation Word Problems

Presentation transcript:

(10.3/10.4) Mirror and Magnification Equations (12.2) Thin Lens and Magnification Equations

Mirror and Magnification Equations The characteristics of an image can be predicted by using two equations: ◦ Mirror Equation:  Allows us to determine the focal point, distance of the image, or the distance of the object  Must know two of the three variables in order to solve the third ◦ Magnification Equation:  Allows us to determine the height of the object or the height of the image.  This equation is usually used following the mirror equation

Mirror Equation The mirror equation is seen below ◦ d o represents the distance of the object ◦ d i represents the distance of the image ◦ f represents focal length

Mirror Equation If the image distance d i is negative, then the image is behind the mirror (a virtual image)

Example 1: A concave mirror has a focal length of 12 cm. An object with a height of 2.5 cm is placed 40.0 cm in front of the mirror. Calculate the image distance using GRASP. Is the image in front of the mirror or behind? How do you know?

Given: f = 12 cm h o = 2.5 cm d o = 40.0 cm Required: d i = ? Analysis: = 1 d o d i f 1 = d i f d o

Example 1: A concave mirror has a focal length of 12 cm. An object with a height of 2.5 cm is placed 40.0 cm in front of the mirror. Calculate the image distance. Is the image in front of the mirror or behind? How do you know? Use GRASP … Given: f = 12 cm h o = 2.5 cm d o = 40.0 cm Required: d i = ? Analysis: = 1 d o d i f 1 = d i f d o Solution: 1 = d i 12cm 40.0cm 1 = d i 120cm 120cm 1 = 7 d i 120 cm d i = 120 cm 7 d i = cm d i = 17 cm Paraphrase The image is 17 cm from the mirror. The sign is positive so the image is in front of the mirror.

Magnification Equation The magnification (m) tells you the size, or height of the image relative to the object, using object and image distances. ◦ Therefore, in order to use this equation the distance of the object and image must be known.

Magnification Equation If the image height h i is negative, the image is inverted relative to the object.

Example 2: A concave mirror has a focal length of 12 cm. An object with a height of 2.5 cm is placed 40.0 cm in front of the mirror. The image distance has been calculated to be cm. What is the height of the image? Is the image inverted? Explain.

Use GRASP … Given: f = 12 cm h o = 2.5 cm d o = 40.0 cm d i = cm Required: h i = ? Analysis: h i = - di h o d o

Example 2: A concave mirror has a focal length of 12 cm. An object with a height of 2.5 cm is placed 40.0 cm in front of the mirror. The image distance has been calculated to be cm. What is the height of the image? Is the image inverted? Explain. Use GRASP … Given: f = 12 cm h o = 2.5 cm d o = 40.0 cm d i = cm Required: h i = ? Analysis: h i = - di h o d o Solution: h i = cm 2.5 cm 40.0cm h i = ( cm) (2.5 cm) 40.0cm h i = cm h i = -1.1 cm Paraphrase The height of the image is 1.1 cm. The sign is negative, so the image is inverted.

Example 3: A convex surveillance mirror in a convenience store has a focal length of m. A customer, who is 1.7 m tall, is standing 4.5 m in front of the mirror. ◦ a) Calculate the image distance. ◦ b) Calculate the image height. Answers: d i = m h i = 0.14 m

Thin Lens and Magnification Equations There are two ways to determine characteristics of images formed by lenses: ◦ Using ray diagrams ◦ Using algebra! The Thin Lens and Magnification Equations are the same as the mirror equations.

Thin Lens and Magnification Equations Lens Terminology d 0 = distance from object to the optical centre d i = distance from the image to the optical centre h 0 = height of the object h i = height of the image f = principal focal length of the lens

Thin Lens Equation Sign conventions: d 0 is always positive d i is positive for real images and negative for virtual images. f is positive for converging lenses and negative for diverging lenses.

Magnification Equation Sign conventions: - Object and image heights are positive when measured upward and negative when measured downward. - Magnification is positive for an upright image and negative for an inverted image. - Magnification has no units.

Example 1: A diverging lens has a focal length of 10.0 cm. A candle is located 36 cm from the lens. What type of image will be formed? Where will it be located? Use GRASP.

Additional Problems Questions 1-5 on page 427 Questions 1-7 on page 436 Questions 1-4 on page 500