Three-lens systems. In the figure, 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 p. Lens 2 is mounted within the middle boxed region, at distance d2 from lens 1. Lens 3 is mounted in the farther boxed region, at distance d23 from lens 2. (see the table below, all distances 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 is 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 or virtual, (d) inverted from object O or noninverted, and (e) on the same side of lens 3 as object O or on the opposite side. Lens 1 P1 1 12 |d2d23 Lens 2 Lens 3 d12 d23 +14.0 C, 9.00 27.0 C, 4.00 9.00 C, 4.00 8 (a) (b) (c) (d) (e) 13 M R/V I/NI Side (a) Number (h) Number Units Units