2Units of Chapter 17 The Reflection of Light Ray diagram for plane mirrorSpherical MirrorsRay Tracing and the Mirror Equation
317-1 The Reflection of Light If a stone is dropped into a pond, circular waves emanate from the point where it landed. Rays, perpendicular to the wave fronts, give the direction in which the waves propagate.
417-1 The Reflection of Light As one moves farther from a point wave source, the wave fronts become more nearly flat.
517-1 The Reflection of Light The law of reflection states that the angle of incidence equals the angle of reflection:
617-1 The Reflection of Light Reflection from a smooth surface is called specular reflection, in which parallel light rays are reflected in parallel.This is diffuse reflection, the scattering of light off a rough surface.
8Check Your Understanding A ray of light is incident towards a plane mirror at an angle of 30-degrees with the mirror surface. What will be the angle of reflection?Page 460, # 2, 3, and 5
917. Forming Images with a Plane Mirror Light reflected from an object hits the mirror. Obeying the law of reflection, it enters the eye.
1017. Ray diagram for plane mirror A ray diagram is a diagram that traces the path that light takes in order for a person to view a point on the image of an object.Draw the image of the object10
1117. Forming Images with a Plane Mirror Properties of Mirror Images Produced by Plane Mirrors:• Upright, and Virtual imageLeft-right reversal• Appears to be the same distance behind the mirror that the object is in front of the mirror.• The same size as the object.
13Check Your Understanding If a toddler crawls towards a mirror at a rate of m/s, then at what speed will the toddler and the toddler's image approach each other?A 50 cm tall dog stands 3 m from a plane mirror and looks at its image. What is the image position, height, and type?work on Ch17: Reflection packet12
1417. Spherical MirrorsA spherical mirror has the shape of a section of a sphere. If the outside is mirrored, it is convex; if the inside is mirrored, it is concave.
1517. Spherical MirrorsSpherical mirrors have a central axis (a radius of the sphere) and a center of curvature (the center of the sphere).
1617. Spherical MirrorsParallel rays hitting a spherical mirror come together at the focal point .A convex mirror – focal point is negative (virtual).A concave mirror – focal point is positive (real).
1817. Ray Tracing and the Mirror Equation We use three principal rays in finding the image.The parallel ray (P ray) reflects through the focal point.The focal ray (F ray) reflects parallel to the axis.The center-of-curvature ray (C ray) reflects back along its incoming path.
1917. Ray Tracing and the Mirror Equation These three rays are illustrated here.
2017. Ray Tracing and the Mirror Equation This image shows how these three rays are used to find the image formed by a convex mirror.
2117. Ray Tracing and the Mirror Equation The process is similar for a concave mirror, although there are different results depending on where the object is placed.
2217. Ray Tracing and the Mirror Equation We derive the mirror equation using the ray diagrams:
2317. Ray Tracing and the Mirror Equation do - the distance from the mirror to the objectdi - the distance from the mirror to the imagef - the focal lengthh - the height of the imageh - the height of the objectio