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The percentage errors in quantities P,Q,R and S are 0.5 %, 1%, 3% and 1.5 % respectively in the measurement of a physical quantity A = P³Q²/√RS. The maximum percentage error in the value of A will be -
- 8.5 %
- 6.0 %
- 7.5 %
- 6.5 %
Correct answer: 6.5 %
Solution
The maximum percentage error in a calculated quantity is determined by summing the percentage errors of the individual components, weighted by their respective powers in the formula. For A = P³Q²/√RS, the contributions from P, Q, R, and S lead to a total maximum percentage error of 6.5%.
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