Important Equations

f = R / 2

o is the object distance

i is the image distance

f is the focal length

y' is the image height

y is the object height

m is the magnification

R is the radius of curvature

Type of Mirrors

Ray Tracing for Diverging Mirrors

Diverging Mirror (convex mirrors)

Converging Mirror (concave Mirror)

For a converging mirrors(for example a convex lens), the focal length is negative, and is the distance at which a beam of collimated light will be focused to a single spot. For a diverging mirrors (for example a concave lens), the focal length is positive.

Ray Tracing for Converging Mirrors

2) An object 10.0 cm high is placed 50.0 cm in front of a concave mirror of 15.0 cm focal length. Find the image by

(a) a ray diagram

(b) the mirror equation.

(c) Is the image real or virtual?

(d) what is the size of the image

3) Find the image with a concave spherical mirror of 10.0 cm focal length if the object is located at

(a) 60.0 cm

(b) 40.0 cm

(c) 20.0 cm

(d) 10.0 cm

4) Find the magnification with a concave spherical mirror of 10.0 cm focal length if the object is located at

(a) 60.0 cm

(b) 40.0 cm

(c) 20.0 cm

(d) 10.0 cm

5) A reflecting Christmas tree ball has a diameter of 8.00 cm. What is the focal length of such an ornament

6) An object 10.0 cm high is placed 30.0 cm in front of a convex mirror of 10.0 cm focal length.

(a) Find the image using a ray diagram

(b) Find the image using the mirror equation

(c) Is the image real or virtual