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 ±0.2 g/cm³, what is the relative uncertainty in the density?
0.025
0.02
0.005
0.1
Questions & Step-by-Step Solutions
If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0.2 g/cm³, what is the relative uncertainty in the density?
Step 1: Identify the absolute uncertainty, which is given as ±0.2 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 = 0.2 g/cm³ / 8.0 g/cm³.
Step 5: Calculate the result: 0.2 / 8.0 = 0.025.
Step 6: The relative uncertainty is 0.025.
Density and Uncertainty – Understanding how to calculate density and the concept of uncertainty in measurements.
Relative Uncertainty – The concept of relative uncertainty as a measure of the uncertainty of a measurement relative to the size of the measurement itself.
