A physics student is given a single thin diverging lens and asked to create an upright image of a small arrow that is exactly one-half the height of the arrow.
(a) Describe qualitatively where the student must place the arrow relative to the lens so that the desired image characteristics (upright and reduced to one-half size) are obtained.
(b) Explain why placing the arrow farther from the lens than the position identified in part (a) would produce an image that does not satisfy the size requirement.
(c) Describe how the image characteristics would change if the arrow were moved progressively closer to the lens than the position identified in part (a).