Final answer:
The question combines knowledge of optics and real-world driving scenarios. The ability to resolve two points, like car headlights, is connected to the inverse square law of light and the resolving power of the eye, which are important concepts in physics.
Step-by-step explanation:
The question refers to the ability of the human eye to resolve two separate points of light, such as headlights, at a distance. While the specific question about when to dim headlights while following a vehicle is more related to driving regulations, the provided information relates to optics and the concept of resolving power in physics. The most relevant aspect here involves the decrease in light intensity with distance, described by the inverse square law, and the resolving power of the human eye, which depends on factors like the pupil size and the wavelength of light.
A practical example of these physics principles is when you are following another car at night. Regulations typically suggest dimming your headlights when you are within a certain distance of the car in front to avoid dazzling the driver. This is a consideration of safety and courtesy that ties the concepts of light intensity and resolving power to real-world driving scenarios. However, the exact distance at which one should dim the headlights might vary by jurisdiction, and the question doesn't provide enough information about local traffic laws to answer that directly.