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Question 5035
NEET Physics · Hard

Units & Measurements: Advanced Dimensional Analysis MCQ

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Advanced Dimensional AnalysisHardQuestion 5035

Question

For P = a²b³/(c√d), the maximum percentage errors in positive inputs a, b, c and d are 1%, 2%, 3% and 4%. Find the first-order maximum percentage error in P.
  1. A
    14%
  2. B
    13%
    Correct
  3. C
    12%
  4. D
    15%

Correct answer

13%

Explanation

% 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%.

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