# Three-lens systems. In Figure, stick figure O (the object) stands on the common central axis of three

## Question:

Three-lens systems. In 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 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 and different 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 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 O or noninverted (NI), and

(e) On the same side of lens 3 as object O or on the oppositeside.

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