Final answer:
The question discusses the physics behind the resolving power of the human eye, particularly in the context of distinguishing car headlights at a distance. This concept is tied to the Rayleigh criterion and involves the wavelength of light and pupil diameter. Actual headlight dimming distances are standardized by road safety laws.
Step-by-step explanation:
The question relates to the resolving power of the human eye and how it applies specifically to seeing car headlights at a distance. The main consideration is the eye's ability to distinguish between two points that are close together, a concept that's often related to the Rayleigh criterion in optics. This principle uses the wavelength of light and the diameter of the pupil to determine the smallest angular separation at which two points of light can be distinguished as separate.
To answer the original question about dimming headlights, we need to apply the concept of resolving power to a practical situation on the road. Typically, the distance for dimming headlights is standardized for driving safety, and does not directly relate to the physics of the resolving power of the eye. However, in physics problems, we can calculate the resolving power using given parameters such as pupil size and wavelength. For instance, we can use the Rayleigh criterion to find the angle between just-resolvable points of light and then calculate the farthest distance at which car headlights can be resolved as separate sources of light.