JEE Physics · Hard

Errors and Measurements: Error — Power Rule MCQ

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

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Error — Power RuleHardQuestion 30150

Question

Kinetic energy E = p²/(2m). If %error in momentum p is 3% and in mass m is 2%, the %error in E is:
  1. A
    8%
    Correct
  2. B
    6%
  3. C
    4%
  4. D
    10%

Correct answer

8%

Explanation

%error in E = 2×(%error in p) + %error in m = 2×3 + 2 = 8%.