Opticaldevices that permit the reflection of light
Two types of Mirrors
Planar or spherical
Planemirrors
Will always form an image that has the same size as the object, the light rays incident to it simply bounce back and do not change their direction with respect to how they approach the mirror, the image form is erect or upright
The focal point of a plane mirror does not exist in its real side (same side as the object), it must be in the virtual side that renders the formed image as virtual
When you look directly into a plane mirror, you will see the reflected images of yourself and the objects around you. If you turned the light off in a bathroom to make the room completely dark, the image will disappear. The image will only appear when the light is turned back on
Plane mirrors
Produce images that appear to be as far behind the mirror as the image is in front, the only defect is the reversal effect, the right side of the object appears as the left side appears as the right - the image is flipped from left to right
The letters from the word AMBULANCE were printed backwards and are reversed in sequence so that they appear in the proper orientation and order when seen in a rearview mirror
Size and position of the image formed in a plane mirror
Image is virtual, erect, same size as object and laterally inverted, image distance equals object distance
Curved mirrors
Commonly spherical mirrors, the reflecting surface is part of a large sphere, have a vertex, center of curvature, and principal focus
Concave mirror
Also known as converging mirror, with a surface that curved inward like the inside of a bowl, turns parallel rays into convergent rays
Uses of concave mirrors
Magnifying mirrors for shaving and applying makeup
Reflecting telescopes
Making the beam of light in flashlights and car headlights
Convex mirror
Also known as diverging mirror, with a surface that curves outward, can reflect parallel rays of light so that they apparently meet at a point behind the mirror
Summary of how different mirrors form images
Plane mirror: Same size, erect, virtual
Concave mirror: Enlarged, inverted, real
Convex mirror: Diminished, erect, virtual
Powerofamirror
Inverse of the focal length
Radiusofcurvature
Twice the focal length
Magnificationofamirror
Ratio of image height to object height, or ratio of image distance to object distance
Sign convention for image formation by mirrors
Planemirror: +, no real image, -, N/A, +, not inverted
Convexmirror: -, no realimage, -, +, +, -
Concavemirror: -, +, -, -, +, +
Sign convention for image formation by lenses
Concave or converging lens: -, +, -, -, +, +, -
Convex or diverging lens: -, +, -, +, +, +, -
Thin lens equation
1/f = 1/d0 + 1/di, where f is focal length, d0 is object distance, and di is image distance
Example 1: Concave mirror
Given: h0 = 5 cm, d0 = 50 cm, f = 15 cm. Calculated: di = -21.43 cm, hi = 2.143 cm
Example 2: Diverging lens
Given: h0 = 10 cm, d0 = 30 cm, f = -15 cm. Calculated: di = -10 cm, hi = 3.33 cm
Example 3: Convex mirror
Given: h0 = 5 cm, d0 = 10 cm, f = 15 cm. Calculated: di = -30 cm, hi = 15 cm
Example 4: Converging lens
Given: h0 = 0.10 m, d0 = 0.75 m, f = 0.25 m. Calculated: di = 0.375 m, hi = -0.05 m
Mirrors reflect what the object looks like. In life, how do you reflect or show the positive values of your family to the people you deal with everyday?
Lenses
Clear optical media that allow the penetration of light rays through them, and then bend them
Converginglens
Thicker at the center than at the rim and will "converge" or focus its refracted rays to a single point
Diverginglens
Thinner at the center than at the rim and will "diverge" or scatter its refracted rays from a virtual point
Summary of how lenses form images
Converginglens: Outside focal point - smaller, inverted, real; Between focal point and lens - enlarged, erect, virtual
Diverginglens: Smaller, erect, virtual
Converginglenses concentrate refracted rays to a single point, used to create images for the eyes of individuals suffering from farsightedness. Diverginglenses scatter these rays, a pair is needed to correct the vision of those suffering from nearsightedness
Energy can be transferred from one object to another by work done, heat transfer, or radiation.
The SI unit of energy is the joule (J).
Work done is calculated as force times distance moved in the direction of the force.
Work done is defined as force multiplied by distance moved in the direction of the force.