Units & Measurements: Advanced Dimensional Analysis MCQ

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Advanced Dimensional AnalysisHardQuestion 5035

Question

A physical quantity P = a²b³/(c√d). If a, b, c, d have errors 1%, 2%, 3%, 4% respectively, the percentage error in P is:

13%

% error in P = 2(%a) + 3(%b) + 1(%c) + (1/2)(%d) = 2(1) + 3(2) + 1(3) + (1/2)(4) = 2 + 6 + 3 + 2 = 13%.