medium · Act science
A physicist observes the relationship between the distance from a light source (d) and the intensity of light (I). The recorded data is: Distance (m) | Intensity (W/m^2) 1.0 | 120.0 2.0 | 30.0 3.0 | 13.3 4.0 | 7.5 Which mathematical model best represents the relationship between I and d?
- The intensity I is inversely proportional to the distance, following the model I propto (1)/(d).
- The intensity I decreases linearly by 37.5 W/m^2 for every 1 meter increase in distance.
- The intensity I follows an exponential decay model where I never reaches a value of zero.
- The intensity I is inversely proportional to the square of the distance, I propto (1)/(d^2).
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