JEE Physics · Hard

Errors and Measurements: Combined Error — Experiment MCQ

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Combined Error — ExperimentHardQuestion 30194

Question

In Young's modulus experiment, stress = F/A and strain = ΔL/L. If %errors in F, A, ΔL, L are 0.5, 1.0, 2.0, 0.5 respectively, the %error in Y is:
  1. A
    4%
    Correct
  2. B
    3%
  3. C
    2%
  4. D
    5%

Correct answer

4%

Explanation

Y = stress/strain = FL/(AΔL). %error in Y = %F + %A + %L + %ΔL = 0.5 + 1.0 + 0.5 + 2.0 = 4.0%.