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Chapter 34: Q. 28 (page 991)
Find the focal length of the meniscus polystyrene plastic lens in FIGURE .
The focal length of meniscus polystyrene plastic lens is.
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A -tall diver is standing completely submerged on the bottom of a swimming pool full of water. You are sitting on the end of the diving board, almost directly over her. How tall does the diver appear to be?
A tall object is in front of a converging lens that has afocal length.
Use ray tracing to find the position and height of the image. To do this accurately, use a ruler or paper with a grid. Determine the image distance and image height by making measurements on your diagram.
Calculate the image position and height. Compare with your ray-tracing answers in part .
The place you get your hair cut has two nearly parallel mirrors m apart. As you sit in the chair, your head is m from the nearer mirror. Looking toward this mirror, you first see your face and then, farther away, the back of your head. (The mirrors need to be slightly nonparallel for you to be able to see the back of your head, but you can treat them as parallel in this problem.) How far away does the back of your head appear to be? Neglect the thickness of your head
A dentist uses a curved mirror to view the back side of teeth in the upper jaw. Suppose she wants an upright image with a magnification of 1.5 when the mirror is 1.2 cm from a tooth. Should she use a convex or a concave mirror? What focal length should it have?
A keratometer is an optical device used to measure the radius of curvature of the eye鈥檚 cornea鈥攊ts entrance surface. This measurement is especially important when fitting contact lenses, which must match the cornea鈥檚 curvature. Most light incident on the eye is transmitted into the eye, but some light reflects from the cornea, which, due to its curvature, acts like a convex mirror. The keratometer places a small, illuminated ring of known diameter 7.5 cm in front of the eye. The optometrist, using an eyepiece, looks through the center of this ring and sees a small virtual image of the ring that appears to be behind the cornea. The optometrist uses a scale inside the eyepiece to measure the diameter of the image and calculate its magnification. Suppose the optometrist finds that the magnification for one patient is 0.049. What is the absolute value of the radius of curvature of her cornea?
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