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A lamp is measured at the distances 0.5, 1, 1.5, 2 and 3 m, and the light that arrives is 400, 100…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A lamp is measured at the distances 0.5, 1, 1.5, 2 and 3 m, and the light that arrives is 400, 100, 44, 25 and 11 lux. Fit a line to the logarithms and find the power in . What law is this?
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Plan. Put the data in a table, take the logarithms, and use the slope.
Check. The slope is , and the constant is about 100 lux at 1 m. So the light is proportional to . This is the inverse square law: when the distance doubles, the light falls to a quarter, because the same light is spread over four times the area.
Answer: . This is the inverse square law of light.
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