Chapter 23 and 24 Flashcards
Ray model of light
Assumes that light travels in straight line paths (rays). When we see an object, light reaches our eyes from each point on the object. Only a small bundle of rays will enter the pupil of the eye. This model explains reflection, refraction, and formation of images by mirrors and lenses
What happens to light when it strikes the surface of an object?
Some of the light is reflected. The rest is absorbed and transformed to thermal energy, or it is transmitted through (if the object is transparent).
Angle of incidence
The angle an incident ray makes with the normal line, which is perpendicular to the surface, as light strikes the surface
Angle of reflection
The angle the reflected ray makes with the normal
Law of reflection
The angle of incidence is equal to the angle of reflection. The incident and reflected rays also lie in the same plane with the normal to the surface.
Diffuse reflection
When light is incident on a rough surface, it is reflected in many directions. The law of reflection still holds at each small section of the surface. When viewing a normal object, different rays of light will reach your eyes at each angle to the object.
Specular reflection
Reflection from a mirror. When a ray of light shines on a mirror, the light won’t reach your eye unless your eye is positioned at the right place (the spot where the law of reflection is satisfied).
Plane mirror
A mirror with a smooth, flat reflecting surface. Each set of diverging rays that reflect from the mirror and enter the eye appear to come from a single point behind the mirror (the image point). An image point corresponds to each point on the object. Our brain interprets the rays as traveling in straight line paths, even though rays from the object travel to and reflect off of the mirror, and then travel to the eyes from there.
Image distance
The perpendicular distance from mirror to image
Object distance
The perpendicular distance from object to mirror
How are object and image distance related in a plane mirror?
They are equal. The image appears to be as far behind the mirror as the object is in front.
Virtual image
When light rays do not actually pass through the image location itself. The image would not appear on paper placed at the location of the image. Our eyes can see real and virtual images as long as the diverging rays enter our eyes. Light rays don’t pass through the image point, they only appear to diverge from that point
Real image
Light does pass through the image and could appear on a white surface placed at the image position. Light rays pass through and diverge from the image point
Convex spherical mirror
When the reflection takes place on the outer surface of the spherical shape so that the center of the mirror surface bulges out toward the viewer. These mirrors are used on cars because they have a wide field of view.
Concave spherical mirror
If the reflecting surface is on the inner surface of the sphere so that the mirror surface curves away from the viewer (like a cave). These mirrors are used to magnify.
How would the rays reflecting on a spherical mirror behave for an object that was very far away?
The rays would be nearly parallel. They would be exactly parallel if the object was infinitely far away.
Focus
The incident and reflective rays on a spherical mirror form a very small angle with each other. The point where they nearly cross is called the focus.
Principal axis of a spherical mirror
The straight line perpendicular to the curved surface at its center. The incoming rays are parallel to the principle axis in a spherical mirror.
Focal point
The point where incident parallel rays come to a focus after reflection. The focal point is also the image point for an object that is infinitely far away along the principal axis.
Focal length
The distance between the focal point and the center of the mirror
Paraxial rays
Rays that make a small angle with the principal axis- we only examine these. They are near the principal axis and are generally parallel to it.
How are the focal length related to the radius of curvature?
The focal length is half the radius of curvature.
Spherical aberration
Rays only approximately come to a perfect focus at the focal point. The more curved the mirror, the worse the approximation, and the more blurred the image. A parabolic reflector will reflect the rays to a perfect focus- these are difficult and expensive to make, and are used in research telescopes
3 types of rays
- Goes out from the object parallel to the axis and reflects through the focal point
- Goes through the focal point and then reflects back parallel to the axis
- Is perpendicular to the mirror, so the ray reflects back on itself and goes through C (the center of curvature).
When drawing rays, make sure that
The angle of incidence is equal to the angle of reflection
When given an object point, how can you find the image point?
Draw the 3 ray types, the point that all 3 intersect is the image point. If the light passes through the image, it’s a real image
If an object is inside the focal point, its image will be
Behind the mirror
Magnification of a mirror
Defined as the height of the image divided by the height of the object. If m is greater than 2, magnification is occurring.
Sign conventions (2)
- The image height is positive if the image is upright and negative if inverted
- Object distance or image distance is positive if the image or object is in front of the mirror. It will be negative if the image or object is behind the mirror
If an object is outside the center of curvature (c) of a concave mirror, its image will be
Inverted, smaller, and real