ch34 - CHAPTER Optical Images 34 1 Can a virtual image be...

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CHAPTER 34 Optical Images 1* · Can a virtual image be photographed? Yes. Note that a virtual image is “seen” because the eye focuses the diverging rays to form a real image on the retina. Similarly, the camera lens can focus the diverging rays onto the film. 2 · Suppose each axis of a coordinate system like the one in Figure 34-4 is painted a different color. One photograph is taken of the coordinate system and another is taken of its image in a plane mirror. Is it possible to tell that one of the photographs is of a mirror image rather than both being photographs of the real coordinate system from different angles? Yes; the mirror image is a left-handed coordinate system. 3 · The image of the point object P in Figure 34-52 is viewed by an eye as shown. Draw a bundle of rays from the object that reflect from the mirror and enter the eye. For this object position and mirror, indicate the region of space in which the eye can see the image. Rays from the source and reflected by the mirror are shown. The reflected rays appear to diverge from the image. The eye can see the image if it is in the region between rays 1 and 2. 4 · A person 1.62 m tall wants to be able to see her full image in a plane mirror. ( a ) What must be the minimum height of the mirror? ( b ) How far above the floor should it be placed, assuming that the top of the person’s head is 15 cm above her eye level? Draw a ray diagram.

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Chapter 34 Optical Images The mirror must be half the height of the person, i.e., 81 cm. The top of the mirror must be 7.5 cm below the top of the head, or 154.5 cm above the floor. The bottom of the mirror must be 73.5 cm above the floor. The ray diagram is shown in the figure. 5* · Two plane mirrors make an angle of 90 ° . Show by considering various object positions that there are three images for any position of an object. Draw appropriate bundles of rays from the object to the eye for viewing each image. Three virtual images are formed, as shown in the adjacent figure. The eye should be to the right and above the mirrors. 6 · ( a ) Two plane mirrors make an angle of 60 ° with each other. Show on a sketch the location of all the images formed of a point object on the bisector of the angle between the mirrors. ( b ) Repeat for an angle of 120 ° . ( a ), ( b ) The object and its images are shown in the figures below. ( a ) ( b ) 7 ·· When two plane mirrors are parallel, such as on opposite walls in a barber shop, multiple images arise because each image in one mirror serves as an object for the other mirror. A point object is placed between parallel mirrors separated by 30 cm. The object is 10 cm in front of the left mirror and 20 cm in front of the right mirror. ( a ) Find the distance from the left mirror to the first four images in that mirror. ( b ) Find the distance from the right mirror to the first four images in that mirror.
Chapter 34 Optical Images ( a ) The first image in the mirror on the left is 10 cm behind the mirror. The mirror on the right forms an image

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ch34 - CHAPTER Optical Images 34 1 Can a virtual image be...

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