JEE Physics · Hard

Errors and Measurements: Percentage Error Comparison MCQ

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

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Percentage Error ComparisonHardQuestion 30168

Question

Which measurement has higher accuracy: (a) 50.00 ± 0.01 cm or (b) 2.00 ± 0.01 cm?
  1. A
    (a)
    Correct
  2. B
    (b)
  3. C
    Equal accuracy
  4. D
    Cannot determine

Correct answer

(a)

Explanation

Accuracy is judged by relative error: (a) 0.01/50.00 = 0.02%; (b) 0.01/2.00 = 0.5%. (a) has smaller relative error, hence higher accuracy.