Two-lens systems. In the figure, stick figure O (theobject) stands on the common central axis of two thin, symmetriclenses, which are mounted in the boxed regions. Lens 1 is mountedwithin the boxed region closer to O, which is at objectdistance p1. Lens 2 is mounted within thefarther boxed region, at distance d. For this problem,p1 = 10 cm, lens 1 is diverging, d =16 cm, and lens 2 is converging. The distance between the lens andeither focal point is 5.4 cm for lens 1 and 6.9 cm for lens 2. (Youneed to provide the proper sign).
Find (a) the image distance i2for the image produced by lens 2 (the final image produced by thesystem) and (b) the overall lateral magnificationM for the system, including signs. Also, determine whetherthe final image is (c) real or virtual,(d) inverted from object O ornoninverted, and (e) on the same side of lens 2 asobject O or on the opposite side.
