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

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Question: If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0.5 g/cm³, what is the range of possible values for the density?

Options:

  1. 7.5 to 8.5 g/cm³
  2. 8.0 to 8.5 g/cm³
  3. 8.0 to 9.0 g/cm³
  4. 7.0 to 9.0 g/cm³

Correct Answer: 7.5 to 8.5 g/cm³

Solution: 

Range = (8.0 - 0.5) to (8.0 + 0.5) = 7.5 to 8.5 g/cm³.

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 ±0.5 g/cm³, what is the range of possible values for the density?
  1. 7.5 to 8.5 g/cm³
  2. 8.0 to 8.5 g/cm³
  3. 8.0 to 9.0 g/cm³
  4. 7.0 to 9.0 g/cm³

Questions & Step-by-Step Solutions

If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0.5 g/cm³, what is the range of possible values for the density?
  • Step 1: Identify the measured density value, which is 8.0 g/cm³.
  • Step 2: Identify the uncertainty value, which is ±0.5 g/cm³.
  • Step 3: Calculate the lower limit of the density by subtracting the uncertainty from the measured value: 8.0 - 0.5 = 7.5 g/cm³.
  • Step 4: Calculate the upper limit of the density by adding the uncertainty to the measured value: 8.0 + 0.5 = 8.5 g/cm³.
  • Step 5: Combine the lower and upper limits to find the range of possible values for the density: 7.5 to 8.5 g/cm³.
  • Density Measurement – Understanding how to calculate the range of values based on a measured value and its uncertainty.
  • Uncertainty in Measurements – Recognizing how to apply uncertainty to determine the possible range of a measurement.
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