Mirrors Plane and Spherical. Plane Mirrors Flat mirrors. Which type of image? Virtual We perceive the image at point I where the ray extensions intersect.

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Presentation transcript:

Mirrors Plane and Spherical

Plane Mirrors Flat mirrors. Which type of image? Virtual We perceive the image at point I where the ray extensions intersect

Clifton Bluhm Real Penny Image of Penny

Curved Mirrors

Curved Reflectors

Principle Axis Focal Point Focal Length (cm)

Diameter = 305 m (1000 ft) Built = 1963 Location = Puerto Rico Arecibo Radio Telescope

Focal Length of a Spherical Mirror R – Radius of Curvature

Ray Tracing We will predict the image that will be formed by a mirror or lens using ray tracing. We typically care about three ‘special’ rays: 1.Two rays that go through the focal points 2.The ray that go through the center of the object

Spherical Mirrors and Ray Tracing The focal point of a concave mirror The focal point of a convex mirror Slide 18-32

Three Sets of Special Rays for a Concave Mirror Slide 18-33

A Real Image Formed by a Concave Mirror Slide 18-34

Slide 18-35

Three Sets of Special Rays for a Convex Mirror Slide 18-36

Ray Tracing for a Convex Mirror Slide 18-37

Images and Mirrors Real images will form on the side of the mirror where the object is located Virtual images will form on the opposite side

The Thin-Lens Equation – This works for both mirrors and lenses Thin-lens equation (also works for mirrors) relating object and image distance to focal length Slide 19-10

Sign Conventions for Lenses and Mirrors Slide 19-11

Magnification Slide A random place for this slide but it needs to go somewhere. The next slide shows the different values from this equation.

Ray Tracing: Virtual Images Slide 18-27

Sample Problem A convex mirror has a focal length of -10 cm. An object of 4 cm high is placed 20 cm in front of the mirror. 1.Find the position and size of the image. 2.Describe the nature of the image.