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Physics · UNITS AND MEASUREMENT

हिन्दी

Which of the following measurements has the highest relative error?

  1. A
    Mass = \( 1.02 \pm 0.01 \text{ g} \)
  2. B
    Mass = \( 9.89 \pm 0.01 \text{ g} \)
  3. C
    Length = \( 16.2 \pm 0.1 \text{ cm} \)
  4. D
    Breadth = \( 10.1 \pm 0.1 \text{ cm} \)
View Answer & Solution

Correct answer · Option A

Mass = \( 1.02 \pm 0.01 \text{ g} \)

Explanation

Relative error for \( 1.02 \text{ g} \) is \( \frac{0.01}{1.02} \times 100\% \approx 1\% \), whereas for \( 9.89 \text{ g} \) it is \( \frac{0.01}{9.89} \times 100\% \approx 0.1\% \). Smaller magnitude with same absolute error gives higher relative error.

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