An object is 8.5 cm away from a thin convex lens with focal length of f1 = 3.1 cm. 8.0 cm away from the first convex lens is a second convex lens on the same optical axis with focal length of f2 = 2.1 cm. a) Draw a principal ray diagram for the optical system including the different focal lengths, image and object distances. b) Describe the nature (real or virtual) and orientation of the final image relative to the object. c) Calculate the position of the final image after the two lenses and its magnification.

An object is 8.5 cm away from a thin convex lens with focal length of f1 = 3.1 cm. 8.0 cm away from the first convex lens is a second convex lens on the same optical axis with focal length of f2 = 2.1 cm. a) Draw a principal ray diagram for the optical system including the different focal lengths, image and object distances. b) Describe the nature (real or virtual) and orientation of the final image relative to the object. c) Calculate the position of the final image after the two lenses and its magnification.