2.2 Spherical Mirrors
Concave and convex surfaces, focal length as half the radius of curvature, and ray diagrams plus the mirror equation for image position and magnification.
8 exercises
2.2 Exercise 2
Under what circumstances will an image be located at the focal point of a spherical lens or mirror?
2.2 Exercise 4
Can an image be larger than the object even though its magnification is negative? Explain.
2.2 Exercise 7
Some telephoto cameras use a mirror rather than a lens. What radius of curvature mirror is needed to replace a 800 mm-focal length telephoto lens?
2.2 Exercise 9
Electric room heaters use a concave mirror to reflect infrared (IR) radiation from hot coils. Note that IR radiation follows the same law of reflection as visible light. Given that the mirror has a radius of curvature of 50.0 cm and produces an image of the coils 3.00 m away from the mirror, where are the coils?
2.2 Exercise 11
What is the focal length of a makeup mirror that produces a magnification of 1.50 when a person’s face is 12.0 cm away? Explicitly show how you follow the steps in the the note.
2.2 Exercise 13
An object 1.50 cm high is held 3.00 cm from a person’s cornea, and its reflected image is measured to be 0.167 cm high. (a) What is the magnification? (b) Where is the image? (c) Find the radius of curvature of the convex mirror formed by the cornea. (Note that this technique is used by optometrists to measure the curvature of the cornea for contact lens fitting. The instrument used is called a ke…
2.2 Exercise 15
Show that, for a flat mirror, , given that the image is the same distance behind the mirror as the distance of the object from the mirror.
2.2 Exercise 19
Two parallel mirrors are facing each other and are separated by a distance of 3 cm. A point object is placed between the mirrors 1 cm from one of the mirrors. Find the coordinates of all the images.
Adapted from University Physics Volume 3 © 2016 Rice University. Licensed under CC BY 4.0. Source: University Physics Volume 3. Imported at revision db44eb9.