Consider the effects of an object at differing distances from a convex lens. Choose a reasonable focal length for your lens and then analyze the image formed when the object is positioned at four different distances from the lens. You may choose these distances, but they must be according to the rules stated below. At each position, do a ray diagram for the object at that distance-make it as accurate as possible. It should show approximately where the image is located relative to the object, whether the image is real or virtual, and the extent to which it is magnified or demagnified. Then do the calculations to find the image distance q and the magnification m more precisely. Make sure that the calculations agree with the ray diagram. a)The object distance is several times as far as the focal length. b) The object distance is exactly twice as far as the focal length. c) The object distance is close to the focus, but still farther away. d) The object distance is inside the focus.