Catégories : Tous - lenses - reflection - light - spectrum

par Erta Tema Il y a 3 années

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Erta Tema Optics Optics is a branch of physics that studies the behaviour and properties of light, as well as mirrors, lenses, and how we humans/ our eyes perceive light.

Optics is a physics branch that delves into the behavior and properties of light, including its interaction with mirrors and lenses and how the human eye perceives it. Light, detectable on the electromagnetic spectrum, manifests as waves represented by the colors of the rainbow.

Erta Tema    Optics
Optics is a branch of physics that studies the behaviour and properties of light, as well as mirrors, lenses, and how we humans/ our eyes perceive light.

Erta Tema Optics Optics is a branch of physics that studies the behaviour and properties of light, as well as mirrors, lenses, and how we humans/ our eyes perceive light.

Forming Images with Lenses

Understanding the Eye
FOCUSING PROBLEMS

Myopia (Near-sightdness)

Nearsightedness is treated with a diverging lens, which makes up for the eye's over-convergence. The diverging lens produces the image closer to the eye than the object, allowing the nearsighted individual to clearly see it.

Comparison of Normal Vision (Left) and Myopia Vision (Right)

Light is brought to a focus in front of the retina

Distance between retina and lens is too large or the cornea-lens combination converges light to strongly

When an individual has difficulty seeing objects that are far away

Hyperopia (far Sightdness)

How do people correct this vision? What lens is used?

A converging lens is used to correct farsightedness by compensating for the eye's under convergence. The converging lens creates an image that is farther away from the eye than the object, allowing the farsighted individual to clearly see it.

Comparison of Normal Vision (Left) and Hyperopia Vision (Right)

Causes light from all nearby objects to focus behind the retina

Distance between the retina and the eye shape is too small and/or cornea lens combination is too weak

When an individual has difficulty seeing nearby objects

Comparing the eye to a camera

In a camera, the image is focused on FILM or on a DIGITAL SENSOR.  The RETINA at the back of each eye cavity performs the same function as light-sensitive cells. The retina transforms light into an electrical signal that the optic nerve sends to the brain.

A camera has a CONVERGING LENS to refract light to form a sharp image. The eye also has structures, the LENS and CORNEA, that cause light to converge. The cornea is the transparent bulge on top of the pupil that focuses light. Light is refracted more through the cornea than through the lens.

The PUPIL compares to the APERTURE on a camera. This the opening in the iris through which light reaches the eye.

A camera has a DIAPHRAGM that controls the amount of light entering it. The coloured part of the eye, also known as the “IRIS” has this function as it opens and closes around a central hole to let in more or less light.

Structure

Image with all the parts of the structure of eye

Lens

Optic Nerve

Cornea

Iris

Pupil

Retina

Thin Lens Equation and Magnification Equation
Examples of questions and answers
Summary of +/- Sign Convention
Magnification Equation

Image above states what we find out with this equation

Thin Lens Equation

Image above states what we find out with this equation

Images formed by each type of lens
Diverging Lens

Cases

Only Case- Object is at any location

NOTE: 2F and 2F' are always TWICE the distance of f and f' respectively

3) A ray through the optical center (0) passes straight through without being refracted

2) A ray that appears to pass through the secondary principal focus (F) is refracted parallel to the principal axis

1) A ray parallel to the principal axis is refracted as if it had come through the principal focus (F)

Converging Lens

Case 5 - Object inside F

Case 4 - Object at F

Case 3 - Object is between F and 2F

Case 2 - Object is at 2F'

Case 1- Object is beyond 2F'

Rules/Steps

3) A ray through the optical center (O) passes straight through without being refracted

2) A ray through the secondary principal focus (F') is refracted parallel to the principal axis

1) A ray parallel to the principal axis is refracted through the principal focus (F)

Key Ideas/Terminology of Converging vs Diverging Lens
Terminology

Principal Focus "F"

F' - Secondary Principal Focus

F-Primary principal focus

Diverging Lens: Same side of the lens as the incident ray

Converging lens: opposite side of the lens as incident ray

Optical Center: The exact center of the lens "O"

F and F' are equal to length in 'O"

Principal Axis "PA": A line that passes through the center of the lens normal to the lens surfaces

Concave Lens causes parallel rays to diverge away from refraction
Convex lens causes parallel rays to converge at a focus point after refraction
Curved Surface of a lens causes rays to pass through the top and bottom of the lens to be refracted more than rays that pass through the middle of the lens
What are lenses
Lenses are transparent objects causing light to refract

Bending Light Using Refraction

Snell's Law
Examples of word problems
Formula

ni (sin˚i) = nR (sin˚R) or n1 (sin˚1) = n2 (sin˚2)

ni=index of refraction for medium 1 nR= index of refraction for medium 2

Partial and Total Internal Reflection
Total Internal Reflection is a phenomenon where the incident ray is entirely reflected back from the boundary (no refraction occurs)

Key Ideas of Total Internal Reflection -Only occurs when light travels from slow to fast medium -Occurs when angle of incidence is greater than the critical angle

The Critical Angle is the angle of incidence that results in an angle of refraction of 90°

Partial Reflection and Refraction occurs when a wave is travelling between two mediums. Some of the wave is reflected back and the rest is refracted through into the other medium.
Index of Refraction "n"
Examples

Air has a index of refraction of 1.0003

Formula for the index of refraction
The index of refraction is the measure of the bending of a ray of light when passing from one medium into another.
Key Ideas/Terminology
In this IMAGE, we see the light moving from a slow to a fast medium or more to less dense. The light bends AWAY from the normal
In this IMAGE we see the light moving from a fast to a slow medium or less to more dense. The light bends TOWARDS the normal
Angle of Reflection: The angle between the NORMAL and REFRACTED RAY (

***NOTE : Angle of Refraction - Capital R -

Angle of incidence does not equal angle of Refraction

Reflected Ray; The ray that is bent upon entering a second medium
Angle of Incidence: The angle between the NORMAL and an INCIDENT RAY (
Incident Ray: Incoming ray that strikes the boundary
Boundary: The surface between 2 mediums (ex. air and glass)
Vacuum- any particular space that technically has no matter. ***So insignificant that is doesn't affect the speed of life
-Travelling between mediums changes speed and direction of light
Light travels at speed of 3x10^8 m/s (in a vaccum)
What is refraction
Refraction is the bending of light or change in direction of light as it travels from one medium to another

Looking into mirrors and forming images

Curved Mirrors
Convex Mirrors Reflected rays meet at the focus point

Examples of Convex Mirrors in our Everyday lives

Convex mirrors are used in convenience stores as convex mirrors have a wider field of view and can cover a larger area with a single mirror. This makes it easier to monitor the store

Case

Only Case

Rules/steps

3) A ray aimed at F is reflected parallel to the principal axis Green line on image below

2) A ray aimed at C is reflected back upon itself - Blue line on image below

1) A parallel ray that extends from the top of the object to the mirror and is reflected back to the viewer (virtual extension to focal point behind the mirror) - Red Line on image below

gets smaller in size than the object, but as the object approaches the mirror, it grows larger (maximum up to the size of the object).

Image is virtual

Concave Mirrors The reflected rays meet at the focus point

Concave mirrors in our Everyday lives

A Dentist uses concave mirrors to get a magnified effect to see your teeth. Therefore, the image is larger making it easier for the dentist to see

Cases for Concave Mirrors

Case 5 - Object is between F and mirror

Case 4 - Object is at F

Case 3 - Object is between C and F

Case 2 - Object is at C

Case 1 - Object is beyond C

Rules/steps for Concave mirrors

5) Where two reflected rays intersect is where the image will form

4) A ray aimed at the V obeys the laws of reflection (

3) 2nd incident ray passing through the F is reflected, parallel to the PA

2) A ray passing through the C is reflected back onto itself

1) 1st incident ray parallel to the PA is reflected through the F

Characteristics

- Can produce real and virtual images, image can enlarged, smaller, or the same size

Terminology Image of curved mirror shows all the terminology mentioned

Focal Length "f" Distance between F and V

Focal Point "F" Halfway point between C and V

Distance between C and V is the radius

Vertex "V" The point where the principal axis meets the mirror

Principle Axis "PA" The line that passes through the centre of curvature (C) to the midpoint of the mirror

Center of Curvature "C" The centre of the sphere whose surface has been used to make the mirror and all "Normals" meet at C

Characteristics of Images formed S.A.L.T
T: Type Is the image real or virtual
L:Location Is the image in front of the mirror? Behind the mirror?
A: Altitude Is the image upright or inverted (upside down)
S:Size Is the image larger, same, or smaller
Drawing Ray Diagrams
Steps to follow when drawing a Ray Diagram

An image of a ray diagram with all the steps listed above

6) Repeat for each point on the object. Connect the points of the image using a dashed line

5) Using dashed lines, extend both reflected rays behind the mirror until they meet. Label this point

4) Measure the angle of incidence with a protractor. Apply the law of reflection and draw the reflect ray

3) Draw Another incident ray striking the mirror (at an angle) At that point it hits the mirror, draw a normal

2) Draw at least two incident rays (from each point on the object) and draw the reflected ray directly towards the mirror at 90 degrees

1) Draw at least two incident rays (from each point on the object)

Solid lines (in Red) is drawn for a light ray that is reflected from the mirror and into the eye of the viewer
The Dashed line (in Green)is drawn when the ray is behind the mirror to show that the light ray isn't really there but what we see into the mirror/imaginary

Image that corresponds with descriptions of solide and dashed lines

Ray diagrams help is predict how light will behave and how images are formed
The law of Reflection states....
The "Normal" is the perpendicular line to a mirror surface
2. The incident ray, the reflected ray and the normal all lie in the same plane
1. When light bounces off a plane (flat) mirror, the angle of incidence = the angle of reflection

Image shows where the angle of incidence and reflection is and the normal

Discovering Light Properties

What is light?
Properties of Light

The behavior of light: Light travels in straight lines and when emitted from a source to strike an object, it creates an incident light

Visible light is a form of energy that can be detected by the human eye.

When we see objects, we are actually seeing light being reflected

3 Possibilities
Light is reflected "bouced back" (transparent). It can also be described as the law of Reflection (talked more in "Looking into mirrors and forming images"
Light is absorbed (opaque)
Light is transmitted
The light we see is in the form of a wave which can be detected on the electromagnetic spectrum. it can be represented by the colours of the rainbow; Red, Orange, Yellow, Green, Blue, indigo, Violet ; ROYGBIV
If the form is on the right side/shorter wavelengths (green-violet), they have high frequency and high energy.

An example: X-rays are plaed on the placed on the right side of the spectrum as they have high frequency and more energy

If any form of electromagnetic is on the left side; warm colours mostly (longer wavelengths) green-to red then they have low frequency and less energy

An example: Radio waves are placed on the left side of the spectrum as they have low frequency and less energy