Error PropagationMediumQuestion 5017
Question
A cube has a maximum mass error of 1% and edge-length error of 2%. What is the first-order maximum percentage error in density?
- A1%
- B5%
- C7%Correct
- D9%
Correct answer
7%
Explanation
Density ρ = m/V = m/l³. % error in ρ = % error in m + 3 × % error in l = 1% + 3×2% = 7%.