Worksheet: Reflected Images
In this worksheet, we will practice explaining the formation of images by focusing light rays in mirrors that have different radii of curvature.
A light bulb is placed between a plane mirror and a convex mirror that has a radius of curvature of 8.0 cm. The distance from the plane mirror to the vertex of the convex mirror is 30 cm, along the mirror’s optical axis. The plane mirror is located 10 cm from the bulb, also along the convex mirror’s optical axis. The system forms multiple images.
Find the distance from the vertex of the convex mirror to the first image that produced by the convex mirror.
Find the position of the second image formed by the convex mirror.
Some heating coils are located 27.3 cm from the vertex of a concave mirror, along the mirror’s optical axis. The heating element radiates 1.50 kW of infrared radiation and has an area of 100 cm2. Half of the radiated power is reflected and focused by the mirror. If the mirror has a magnification of , what is the intensity of infrared radiation projected by the mirror onto a person standing 3.00 m from the mirror’s vertex, along the mirror’s optical axis?
An object is immersed in water at a distance of 25 cm from the vertex of a glass concave surface with a radius of curvature of 10 cm. Find the magnification of the image produced by reflection from the surface. Use a value of 1.5 for the refractive index of glass and a value of 1.33 for the refractive index of water.
Consider a pair of flat mirrors that are positioned so that an angle of is made between the sides of the mirror in contact with each other. An object is placed between the mirrors on a line that passes through the point where the sides of the mirrors are in contact, equidistant from each mirror. How many images of the object are formed in both mirrors?