Final answer:
To keep an image focused on the screen after the light bulb is moved farther from a converging lens, the screen should be adjusted by moving it farther away from the lens along the optical axis to accommodate the increased image distance.
Step-by-step explanation:
To keep the image of the light bulb focused on the screen after moving the light bulb farther from the lens, the screen must be adjusted along the optical axis away from the lens. This is because the new distance of the light bulb from the lens is greater than the focal length, resulting in an increase in the image distance following the lens maker's equation 1/f = 1/do + 1/di (where f is the focal length, do is the object distance, and di is the image distance).
Using ray tracing techniques or the thin lens equation, we can determine the new position of the screen. If the light bulb is moved farther away from the lens, the rays coming from it would need more distance to converge to a focus point to form a real image. By moving the screen back, we're accommodating for the fact that the rays now focus farther from the lens than before.
An example of a well-focused image creation involves a light bulb placed at a particular distance from a lens with a specified focal length, like 0.75 m from a lens of 0.50-m focal length, projecting a real image as depicted in Figure 2.28. The ray tracing accurately predicts the location and size of the image formed on the screen. When the object is moved farther away, the screen must also be moved farther from the lens to maintain a focused image.