STANDARD Physics Percentage Error MCQ Question
A physical quantity X is related to four measurable quantities a, b, c and d as given, X = a²b³c⁵/2d⁻². The percentage error in the measurement of a, b, c and d are 1%, 2%, 2% and 4% respectively. What is the percentage error in quantity X?
15%
17%
21%
23%
Correct Answer
Detailed Explanation
The percentage error in X is ΔX/X × 100 = [2(Δa/a) + 3(Δb/b) + 5/2(Δc/c) + 2(Δd/d)] × 100 = 2×1% + 3×2% + 5/2×2% + 2×4% = 21%.
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