JEE Physics · Hard

Errors and Measurements: Error — Mixed Formula MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Error — Mixed FormulaHardQuestion 30135

Question

For X = A²B/C³, the percentage error in X when %errors in A, B, C are 1%, 2%, 3% respectively is:
  1. A
    6%
  2. B
    7%
  3. C
    11%
  4. D
    13%
    Correct

Correct answer

13%

Explanation

%error in X = 2×(1%) + 1×(2%) + 3×(3%) = 2 + 2 + 9 = 13%.