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A body has a measured mass of 5.00 ± 0.05 kg and a measured volume of 1.00 ± 0.05 m³. What is the maximum possible percentage error in its density?
- 6%
- 3%
- 10%
- 5%
Correct answer: 6%
Solution
For density = mass/volume, the maximum fractional error adds: (dm/m)+(dV/V) = 0.05/5.00 + 0.05/1.00 = 0.01 + 0.05 = 0.06 = 6%.
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