A thin converging lens forms an image of a distant mountain at a distance of 38.0 cm from the lens. (a) What is the focal length of the lens? (b) A pine cone is placed 75.0 cm from the lens. Describe the resulting image: its magnification and distance from the lens, and whether it is real or virtual, upright or inverted. (c) The lens glass has an index of refraction of 1.55. The lens is immersed in water, index of refraction 1.33. What is its focal length in water?