Does the distance to a target affect the angle of light refraction when minimizing travel time? Understanding light refraction, refractive index, and optimal light paths.
Context This question explores the relationship between light refraction, the principle of minimizing travel time, and the impact of distance on the angle of refraction. It presents a scenario involving observing a fish underwater and questions whether the angle of refraction changes as the fish moves further away, seemingly contradicting the constant refractive index between air and water. Simple Answer Light bends (refracts) when it goes from one material (like air) to another (like water). This bending happens because light travels at different speeds in different materials. The bending follows a rule called Snell's Law, which depends on the materials but not the distance to the object. The distance to the object you are looking at doesn't change how much the light bends. The fish moving away doesn't change the refractive index between air and water. Detailed Answer The principle of least time, often attributed to Fermat, dictates that light will travel the path that min...