NEET Physics · Hard

Units & Measurements: Error Analysis MCQ

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

Practice and revisionDetailed answer reviewMobile-friendly flow
Error AnalysisHardQuestion 5043

Question

Positive measurements a and b have small maximum absolute error bounds δa and δb. What is the first-order maximum relative error in their product?
  1. A
    δa/a − δb/b
  2. B
    δa/a × δb/b
  3. C
    δa/a + δb/b
    Correct
  4. D
    (δa + δb)/(a × b)

Correct answer

δa/a + δb/b

Explanation

The first-order maximum relative-error estimate is δa/a + δb/b. This is a worst-case bound approximation, not the root-sum-of-squares rule for independent standard uncertainties.