95, 96, 99 Three-lens systems. In Fig. 34-49, stick figure O (the object) stands on the

Chapter 34, Problem 95

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95, 96, 99 Three-lens systems. In Fig. 34-49, stick figure O (the object) stands on the common central axis of three thin, symmetric lenses, which are mounted in the boxed regions. Lens 1 is mounted within the boxed region closest to O, which is at object distance p1. Lens 2 is mounted within the middle boxed region, at distance d12 from lens 1. Lens 3 is mounted in the farthest boxed region, at distance d23 from lens 2. Each problem in Table 34-10 refers to a different combination of lenses anddifferent values for distances, which are given in centimeters. The type of lens is indicated by C for converging and D for diverging; the number after C or D is the distance between a lens and either of the focal points (the proper sign of the focal distance is not indicated). Find (a) the image distance i3 for the (final) image produced by lens 3 (the final image produced bythe system) and (b) the overall lateral magnification M for the system, including signs. Also, determine whether the final image is (c) real (R) or virtual (V), (d) inverted (I) from object O or noninverted (NI), and (e) on the same side of lens 3 as object O or on the opposite side. 1 2d123d23 Figure 34-49 95 through 100.Table 34-10 95 through 100: Three-Lens Systems. See the setup for these problems. (a) (b) (c) (d) (e) p1 Lens 1 d12 Lens 2 d23 Lens 3 i3 M R/V I/NI Side 95 12 C, 8.0 28 C, 6.0 8.0 C, 6.0 96 4.0 D, 6.0 9.6 C, 6.0 14 C, 4.0 97 18 C, 6.0 15 C, 3.0 11 C, 3.0 98 2.0 C, 6.0 15 C, 6.0 19 C, 5.0 99 8.0 D, 8.0 8.0 D, 16 5.1 C, 8.0 100 4.0 C, 6.0 8.0 D, 4.0 5.7 D, 12