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If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0
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?
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Practice Questions
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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
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Relative uncertainty = (absolute uncertainty / measured value) = 0.2 / 8.0 = 0.025.
Questions & Step-by-step Solutions
1 item
Q
Q: 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?
Solution:
Relative uncertainty = (absolute uncertainty / measured value) = 0.2 / 8.0 = 0.025.
Steps: 6
Show Steps
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.
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