Three-lens systems. In Fig. 34-48, stick figure 0 (the

Chapter 34, Problem 95

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Three-lens systems. In Fig. 34-48, stick figure 0 (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 0, which is at object distance Pl' 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 and different :a.lue~ for distances, which are given in centimeters. The type of lens IS mdIcated 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 by the 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 0 or noninverted (NI), and (e) on the same side of lens 3 as object 0 or on the opposite side.

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