A converging lens of focal length f1 = +22.5 cm is placed at a distance d = 60.0 cm to the left of a diverging lens of focal length f2 = −30.0 cm. An object is placed on the common optical axis of the two lenses with its base 45.0 cm to the left of the converging lens. (The thin-lens approximation may be assumed to hold.) (a) Calculate the location of the final image and its overall magnification with respect to the object. (b) Draw a ray diagram, to scale, illustrating the positions of the object, intermediate image and final image. Draw at least two key rays through each lens to locate the positions of each image. (c) Is the final image real or virtual? Is it erect or inverted?
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