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Chapter 34: Q5Q (page 1037)
When a T. rex pursues a jeep in the movie Jurassic Park, we see a reflected image of the T. rex via a side-view mirror, on which is printed the (then darkly humorous) warning: “Objects in mirror are closer than they appear.” Is the mirror flat, convex, or concave?
The mirror is convex.
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50 through 57 55, 57 53 Thin lenses. Object stands on the central axis of a thin symmetric lens. For this situation, each problem in Table 34-6 gives object distance p (centimeters), the type of lens (C stands for converging and D for diverging), and then the distance (centimeters, without proper sign) between a focal point and the lens. Find (a) the image distance localid="1662982946717" and (b) the lateral magnification m of the object, including signs. Also, determine whether the image is (c) real or virtual , (d) inverted from object or non inverted , and (e) on the same side of the lens as object or on the opposite side.
Isaac Newton, having convinced himself (erroneously as it turned out) that chromatic aberration is an inherent property of refracting telescopes, invented the reflecting telescope, shown schematically in Fig. 34-59. He presented his second model of this telescope, with a magnifying power of 38, to the Royal Society (of London), which still has it. In Fig. 34-59, incident light falls, closely parallel to the telescope axis, on the objective mirror. After reflection from the small mirror (the figure is not to scale), the rays form a real, inverted image in the focal plane (the plane perpendicular to the line of sight, at focal point F). This image is then viewed through an eyepiece. (a) Show that the angular magnification for the device is given by Eq. 34-15:
the focal length of the objective is a mirror and
is that of the eyepiece.
(b) The 200 in. mirror in the reflecting telescope at Mt. Palomar in California has a focal length of 16.8 m. Estimate the size of the image formed by this mirror when the object is a meter stick 2.0 km away. Assume parallel incident rays. (c) The mirror of a different reflecting astronomical telescope has an effective radius of curvature of 10 m (“effective” because such mirrors are ground to a parabolic rather than a spherical shape, to eliminate spherical aberration defects). To give an angular magnification of 200, what must be the focal length of the eyepiece?
58 through 67 61 59 Lenses with given radii. An object stands in front of a thin lens, on the central axis. For this situation, each problem in Table 34-7 gives object distance , index of refraction n of the lens, radius of the nearer lens surface, and radius of the farther lens surface. (All distances are in centimeters.) Find (a) the image distance and (b) the lateral magnification m of the object, including signs. Also, determine whether the image is (c) real or virtual , (d) inverted from the object or non-inverted , and (e) on the same side of the lens as object or on the opposite side
58 through 67 61 59 Lenses with given radii. An object stands in front of a thin lens, on the central axis. For this situation, each problem in Table 34-7 gives object distance , index of refraction n of the lens, radius localid="1662989860522" of the nearer lens surface, and radius localid="1662988669866" of the farther lens surface. (All distances are in centimeters.) Find (a) the image distance and (b) the lateral magnification m of the object, including signs. Also, determine whether the image is (c) real localid="1662988718474" or virtual localid="1662988727007" , (d) inverted localid="1662988740117" from object or non-inverted localid="1662989876683" , and (e) on the same side of the lens as objector on the opposite side.
Figure 34-27 is an overhead view of a mirror maze based on floor sections that are equilateral triangles. Every wall within the maze is mirrored. If you stand at entrance , (a) which of the maze monsters , , and hiding in the maze can you see along the virtual hallways extending from entrance ; (b) how many times does each visible monster appear in a hallway; and (c) what is at the far end of a hallway?
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