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In a measurement experiment, four quantities a, b, c and d have percentage errors of 1%, 2%, 3% and 4%, respectively. If a derived quantity is given by P = a³ b² / (c d), what is the percentage error in P?
- 10%
- 7%
- 4%
- 14%
Correct answer: 14%
Solution
For P = a^3 b^2 /(c d), %error = 3*1 + 2*2 + 1*3 + 1*4 = 3 + 4 + 3 + 4 = 14%.
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