JEE Physics · Medium

Errors and Measurements: Error — Magnitude MCQ

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

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Error — MagnitudeMediumQuestion 30174

Question

If f = A^m B^n / C^p, the maximum percentage error in f is:
  1. A
    m%A + n%B − p%C
  2. B
    m(%A) + n(%B) + p(%C)
    Correct
  3. C
    (m+n+p)(%A+%B+%C)
  4. D
    m(%A) × n(%B) / p(%C)

Correct answer

m(%A) + n(%B) + p(%C)

Explanation

Maximum percentage error = m×(%error in A) + n×(%error in B) + p×(%error in C). All terms are added.