Two converging lenses having focal lengths of f1 = 11.4 cm and f2 = 20.0 cm are placed d = 50.0 cm apart, as shown in the figure below. The final image is to be located between the lenses, at the position x = 32.7 cm indicated. On the left, an arrow originating from a long horizontal line points upward and is labeled "Object." A vertical, convex lens, labeled "f1," is centered upon the horizontal line and is positioned a distance p to the right of the Object arrow. A second vertical, convex lens, labeled "f2," is positioned a distance d to the right of the left lens, and is also centered upon the horizontal line. A second arrow, labeled "Final image," lies between the two lenses at a distance x from the left lens, originates from the horizontal line, and points downward. (a) How far (in cm) to the left of the first lens should the object be positioned? Your response differs from the correct answer by more than 10%. Double check your calculations. cm (b) What is the overall magnification of the system?
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