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If the density of a substance is calculated as 8.0 g/cm³ with an uncertainty of

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Question: If the density of a substance is calculated as 8.0 g/cm³ with an uncertainty of ±0.2 g/cm³, what is the relative uncertainty?

Options:

  1. 0.025
  2. 0.02
  3. 0.005
  4. 0.01

Correct Answer: 0.02

Solution: 

Relative uncertainty = (absolute uncertainty / density) = 0.2 / 8.0 = 0.025.

If the density of a substance is calculated as 8.0 g/cm³ with an uncertainty of

Practice Questions

Q1
If the density of a substance is calculated as 8.0 g/cm³ with an uncertainty of ±0.2 g/cm³, what is the relative uncertainty?
  1. 0.025
  2. 0.02
  3. 0.005
  4. 0.01

Questions & Step-by-Step Solutions

If the density of a substance is calculated as 8.0 g/cm³ with an uncertainty of ±0.2 g/cm³, what is the relative uncertainty?
  • Step 1: Identify the absolute uncertainty, which is given as ±0.2 g/cm³.
  • Step 2: Identify the density value, which is given as 8.0 g/cm³.
  • Step 3: Use the formula for relative uncertainty: relative uncertainty = (absolute uncertainty / density).
  • Step 4: Substitute the values into the formula: relative uncertainty = 0.2 g/cm³ / 8.0 g/cm³.
  • Step 5: Calculate the result: 0.2 divided by 8.0 equals 0.025.
  • Density Calculation – Understanding how to calculate density and its associated uncertainties.
  • Relative Uncertainty – The concept of relative uncertainty as a measure of the uncertainty of a measurement relative to the size of the measurement itself.
  • Absolute Uncertainty – The fixed amount of uncertainty in a measurement, which is used to calculate relative uncertainty.
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