33. Geometric Optics

Will an image be formed for an object placed inside the focus of a concave mirror? If so, where will it be formed?

Find the location of the virtual image produced by a convex mirror when the object is placed a distance less than the focal length form the surface of the mirror.

You want to hang a plane mirror on your wall. If you want your entire body to fit into the mirror, what's the maximum height off the ground that the mirror must be? What is the smallest mirror you can buy? Consider yourself to be 1.55 m tall.

Will an image be formed for an object placed inside the focus of a concave mirror? If so, where will it be formed?

Find the location of the virtual image produced by a convex mirror when the object is placed a distance less than the focal length from the surface of the mirror.

You want to hang a plane mirror on your wall. If you want your entire body to fit into the mirror, what's the maximum height off the ground that the mirror must be? What is the smallest mirror you can buy? Consider yourself to be 1.55 m tall.

A red ball is placed at point A in FIGURE P34.44. What are the (x, y) coordinates of each image?

An object 4.0 mm high is placed 18 cm from a convex mirror of radius of curvature 18 cm. Show by ray tracing that the image is virtual, and estimate the image distance.

(II) Show, using a ray diagram, that the lateral magnification m of a convex mirror is m = -dᵢ/dₒ , just as for a concave mirror. [Hint: Consider a ray from the top of the object that reflects at the center of the mirror.]

An object is 12 cm in front of a concave mirror with a focal length of 20 cm. Use ray tracing to locate the image. Is the image upright or inverted?

A fish is swimming in water inside a thin spherical glass bowl of uniform thickness. Assuming the radius of curvature of the bowl is 32.0 cm, locate the image of the fish if the fish is located: (a) at the center of the bowl; (b) 20.0 cm from the side of the bowl between the observer and the center of the bowl. Assume the fish is small.

Draw ray diagrams for the following two cases: (a) A 10-mm-high object 100 mm from a 40-mm-focal-length converging lens. (b) A 10-mm-high object 100 mm from a 40-mm-focal-length convex mirror.