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Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker...

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Today’s Topic: Ray Diagrams Intro to & Converging Learning Goal: Students will be able to describe the resulting image of light once it passes through a converging lens. What is a focal point? What happens at the focal point of a converging lens? What happens at the focal point of a diverging lens?
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Page 1: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Today’s Topic:

Ray Diagrams – Intro to & Converging Learning Goal:

Students will be able to describe the

resulting image of light once it passes

through a converging lens. What is a focal point?

What happens at the focal point of a

converging lens?

What happens at the focal point of a diverging

lens?

Page 2: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Homework

Complete the Snell’s Law Worksheet

(One Day Late)

Complete The Law of Reflection packet

(Four Days Late)

Page 3: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Upcoming Test

Your last test will take place on Thursday,

June 4th (a week from yesterday).

Topics covered will include:

Color

The Law of Reflection

Refraction

Snell’s Law

Ray Diagrams (Converging & Diverging)

Page 4: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Recap A converging lens, or a convex lens, is

thicker in the middle, and causes rays of

light that are initially parallel to CONVERGE

at a single point called the focal point.

Focal point

Page 5: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Principal Axis

• F

Converging Lens

Page 6: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Principal Axis

Light rays that come in parallel to the principle

axis converge at the focal point.

• F

Converging Lens

Page 7: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Recap A diverging lens, or a concave lens, is

thinner in the middle, causing the rays of

light to appear to originate from a single

point.

F F

Page 8: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

• F

Principal Axis

Light rays that come in parallel to the principle

axis diverge from the focal point.

Diverging Lens

Page 9: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Images All visible objects emit or reflect light rays in

all directions.

Page 10: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Images Our eyes detect these light rays.

Page 11: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Images We see images when light rays converge in

our eyes.

Page 12: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Mirrors and Lenses It is possible to see images in mirrors and

lenses as well.

object

image

Page 13: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Reflecting Light Light from an object bounces off of a

mirror, obey the law of reflection, and our

eyes see these reflections.

However, these rays almost appear to be

coming from behind the mirror.

The object we see

“behind” the mirror

is called an image.

Page 14: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Reflecting Light However, things start

to get a little strange

once we bend the

mirror.

By bending the

mirror, the image can

appear in a different

location or different

size.

Page 15: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Ray Diagrams By constructing a ray diagram, we can

determine where the image is located,

and what it will look like.

A ray diagram is a diagram showing rays

that can be drawn to determine the size

and location of an image formed by a

mirror or lens.

Page 16: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Ray Diagrams A ray diagram looks something like this:

Let’s take a step back and see this.

Page 17: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Key Features of a Lens Like a wave, lenses have some key

features we need to learn.

The principal axis of a lens is the line

joining the centers of curvature of its

surfaces.

Page 18: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Key Features of a Lens

The focal point (for a converging lens) is

the point where a beam of light parallel to

the principal axis converges.

Page 19: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Key Features of a Lens

The focal length is the distance between

the center of the lens and its focal point.

Page 20: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Key Features of a Lens

This is a less scary example of a completed

ray diagram.

Let’s learn the rules in constructing one of

these things.

We’re only going to focus on converging

lenses today.

Page 21: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Ray Tracing Rules To create a ray diagram, you will need to

draw two of the three following rays:

Ray 1: A ray parallel to the principal axis

that passes through the focal point on the

opposite side

F F

Page 22: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Ray Tracing Rules Ray 2: A ray that passes through the

center of the lens that is undeflected.

F F

Page 23: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Ray Tracing Rules Ray 3: A ray that passes through the

focal point in front of the lens that

emerges parallel to the principal axis

after refracted by the lens.

F F

Page 24: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Putting It All Together Draw the image where the rays intersect!

• F object

Converging

Lens

image • F

Page 25: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Image Descriptions Images can be described with three

classifications:

A real image is an image where the light

from the object actually converges to

form an image which can be seen on a

screen.

A virtual image is an image that appears

to be in a location where light does not

really reach.

Page 26: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Lens Effects Mirrors and security

mirrors produce

virtual images – the

light does not really

reach behind the

glass, it only

appears to do so.

The projector is producing a real image – it

can be seen on a screen.

Page 27: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

Image Descriptions Images can be described with three

classifications:

An upright image has the same vertical

direction as the object.

An inverted image is flipped upside-

down.

Magnification: The image is larger (than

the object), smaller, or the same size.

Page 28: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

More Examples

Describe the image formed above. Real

Inverted

Same Size

F F

Page 29: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

More Examples

Describe the image formed above. Real

Inverted

Larger By moving the object closer to the lens, the

image is now magnified.

F F

Page 30: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

More Examples

Let’s bring the object even closer! Uh oh.

In this case the rays are diverging – they do

not intersect on that side of the lens.

F F

this distance is increasing

Page 31: Ray Diagrams Intro to & Converging...2015/05/29  · A converging lens, or a convex lens, is thicker in the middle, and causes rays of light that are initially parallel to CONVERGE

More Examples

But if we extend the rays backwards…

The image will form here. This is a virtual

image. This configuration is how a magnifying glass works.

F F


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