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If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0

Practice Questions

Q1
If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0.1 g/cm³, what is the relative uncertainty in the density?
  1. 0.0125
  2. 0.01
  3. 0.005
  4. 0.02

Questions & Step-by-Step Solutions

If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0.1 g/cm³, what is the relative uncertainty in the density?
  • Step 1: Identify the absolute uncertainty, which is given as ±0.1 g/cm³.
  • Step 2: Identify the measured value of the density, which is 8.0 g/cm³.
  • Step 3: Use the formula for relative uncertainty: relative uncertainty = (absolute uncertainty / measured value).
  • Step 4: Substitute the values into the formula: relative uncertainty = 0.1 g/cm³ / 8.0 g/cm³.
  • Step 5: Perform the division: 0.1 / 8.0 = 0.0125.
  • Step 6: The relative uncertainty is 0.0125.
  • Density and Uncertainty – Understanding how to calculate density and the concept of uncertainty in measurements.
  • Relative Uncertainty – Calculating relative uncertainty as the ratio of absolute uncertainty to the measured value.
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