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MCQ practice · SSC Physics Board questions · Chapter 1: Physical Quantities and Their Measurements

Sylhet Board 2022

The length of a rod is (12 ± 0.05) cm. What is the relative error of the length measurement?

Think it through first, then pick an option.

  1. a 12.05
  2. b 11.95
  3. c 0.42
  4. d 0.0042
Answer and explanation

Correct answer: d 0.0042

Relative error = 0.05 ÷ 12 = 0.0042.

Why the other options are wrong

  • a 12.05: 12.05 cm is the maximum value; the relative error is a ratio, not a length.
  • b 11.95: 11.95 cm is the minimum value; the relative error is a ratio, not a length.
  • c 0.42: 0.42 is the percentage (0.0042 × 100 %); as a ratio the relative error is 0.0042.