Shiny spheres that are placed on pedestals on a lawn are convex mirrors. One such sphere has a diameter of 40.0 cm. A 12-cm-tall robin sits in a tree that is 1.5 m from the sphere. Where is the image of the robin and how tall is the image?

When an object is placed 24 cm in front of a concave mirror, it produces a real image 12 cm from the mirror. What is the magnification of the image? Is the image upright or inverted?

A dentist uses a small mirror with a radius of 40 mm to locate a cavity in a patient’s tooth. If the mirror is concave and is held 16 mm from the tooth, what is the magnification of the image?

Write a real-life problem that can be modeled by an equation equivalent to the equation

$$5 x = 30$$

. Then solve the equation and write the answer in the context of your real-life problem.

Two plane mirrors are connected at their sides so that they form a $45^{\circ}$ angle between them. A light ray strikes one mirror at an angle of 30° to the normal and then reflects off the second mirror. Calculate the angle of reflection of the light ray off the second mirror.

Draw a ray diagram of a plane mirror to show that if you want to see yourself from your feet to the top of your head, the mirror must be at least half your height.

A ray of light strikes a mirror at an angle of $53^{\circ}$ to the normal. a. What is the angle of reflection? b. What is the angle between the incident ray and the reflected ray?

A ray of light strikes a mirror at an angle of $38^{\circ}$ to the normal. What is the angle that the reflected angle makes with the normal?

A ray of light incident upon a mirror makes an angle of $36^{\circ}$ with the mirror. What is the angle between the incident ray and the reflected ray?

How can you prove to someone that an image is a real image?

What is meant by the normal to a surface?

Would spherical aberration be less for a mirror whose height, compared to its radius of curvature, is small or large? Explain.

A 6.0-cm-tall object is placed 16.4 cm from a convex mirror. If the image of the object is 2.8 cm tall, what is the radius of curvature of the mirror?

A concave mirror produces a virtual image that is three times as tall as the object. (a) If the object is 22 cm in front of the mirror, what is the image distance? (b) What is the focal length of this mirror?