Research a method used for grinding, polishing, and testing mirrors used in reflecting telescopes. You may report either on methods used by amateur astronomers who make their own telescope optics, or on a method used by a project at a national laboratory. Prepare a one-page report describing the method, and present it to the class.

A 4.0-cm-tall object is placed 12.0 cm from a convex mirror. If the image of the object is 2.0 cm tall, and the image is located at -6.0 cm, what is the focal length of the mirror? Draw a ray diagram to answer the question. Use the mirror equation and the magnification equation to verify your answer.

A production-line inspector wants a mirror that produces an image that is upright with a magnification of 7.5 when it is located 14.0 mm from a machine part. a. What kind of mirror would do this job? b. What is its radius of curvature?

A magician uses a concave mirror with a focal length of 8.0 m to make a 3.0-m-tall hidden object, located 18.0 m from the mirror, appear as a real image that is seen by his audience. Draw a scale ray diagram to find the height and location of the image.

A convenience store uses a surveillance mirror to monitor the store’s aisles. Each mirror has a radius of curvature of 3.8 m. a. What is the image position of a customer who stands 6.5 m in front of the mirror? b. What is the image height of a customer who is 1.7 m tall?

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?

A ball is positioned 22 cm in front of a spherical mirror and forms a virtual image. If the spherical mirror is replaced with a plane mirror, the image appears 12 cm closer to the mirror. What kind of spherical mirror was used?

A convex mirror is needed to produce an image one-half the size of an object and located 36 cm behind the mirror. What focal length should the mirror have?

Explain how the law of reflection applies to diffuse reflection.

A concave mirror has a radius of curvature of 26.0 cm. An object that is 2.4 cm tall is placed 30.0 cm from the mirror. a. Where is the image position? b. What is the image height?

What is the radius of curvature of a concave mirror that magnifies an object by a factor of -3.2 when the object is placed 20 cm from the mirror?

A light ray strikes a plane mirror at an angle of $28^{\circ}$ to the normal. If the light source is moved so that the angle of incidence increases by $34^{\circ}$, what is the new angle of reflection?

An object is located 4.4 cm in front of a concave mirror with a 24.0-cm radius. Locate the image using the mirror equation.

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?