JEE Physics · Hard

Errors and Measurements: Combination Error Concept MCQ

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

Timer-based practiceDetailed answer reviewMobile-friendly flow
Combination Error ConceptHardQuestion 30153

Question

Which expression has the largest percentage error? Given %errors in A, B, C are each 1%.
  1. A
    A + B
  2. B
    AB
  3. C
    A²B
  4. D
    A³B²C
    Correct

Correct answer

A³B²C

Explanation

For a sum, %errors don't simply add like products do. For A³B²C, %error = 3(1)+2(1)+1(1) = 6%. That is the largest.