An object is placed to the left of two converging lenses, as shown in (Figure 1). Lens 1 has a focal length f and lens 2 has a focal length 2f. The lenses are separated by a distance of 6f. An object of height h is then placed a distance of 2f to the left of lens 1. Calculate the following quantities in terms of f and h (specify the positions relative to lens 2): (a) the position of the image produced by lens 1; (b) the position of the final image produced by the combination of lenses; (c) the magnification of the lens combination; (d) the height and orientation (upright or inverted) of the final image.
A)
Start solving the problem by constructing a sketch of the lens system and indicating the focal points of each lens. Write down the thin-lens equation. Express your answer in terms of the focal length f, the object So and image Si distances, if needed.