Physics · Least count, significant figures, Errors in measurements
The accuracy in the measurement of the diameter of hydrogen atom measured as is
The accuracy in the measurement of the diameter of hydrogen atom measured as \( 1.06 \times 10^{-10} \mathrm{m} \) is :
- A. 0 .01
- B. \( 106 \times 10^{-10} \)
- C. \( \frac{1}{106} \)
- D. \( 0.01 \times 10^{-10} \)
Step-by-step solution
The measurement 1.06 × 10⁻¹⁰ m has three significant figures, implying an absolute uncertainty of ±0.01 × 10⁻¹⁰ m (half of the smallest division). Accuracy is often expressed as relative error, which is absolute error divided by the measured value: (0.01 × 10⁻¹⁰) / (1.06 × 10⁻¹⁰) ≈ 0.00943 ≈ 1/106.
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