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In a lab experiment, the density of a liquid is measured as 1.2 g/cm³ with an un
In a lab experiment, the density of a liquid is measured as 1.2 g/cm³ with an uncertainty of ±0.05 g/cm³. What is the relative error?
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Q1
In a lab experiment, the density of a liquid is measured as 1.2 g/cm³ with an uncertainty of ±0.05 g/cm³. What is the relative error?
4.17%
3.33%
5.00%
2.50%
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Relative error = (Uncertainty / Measured value) * 100 = (0.05 / 1.2) * 100 = 4.17%.
Questions & Step-by-step Solutions
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Q
Q: In a lab experiment, the density of a liquid is measured as 1.2 g/cm³ with an uncertainty of ±0.05 g/cm³. What is the relative error?
Solution:
Relative error = (Uncertainty / Measured value) * 100 = (0.05 / 1.2) * 100 = 4.17%.
Steps: 7
Show Steps
Step 1: Identify the measured value of the density, which is 1.2 g/cm³.
Step 2: Identify the uncertainty in the measurement, which is ±0.05 g/cm³.
Step 3: Use the formula for relative error: Relative error = (Uncertainty / Measured value) * 100.
Step 4: Substitute the values into the formula: (0.05 / 1.2) * 100.
Step 5: Calculate the division: 0.05 divided by 1.2 equals approximately 0.04167.
Step 6: Multiply the result by 100 to convert it to a percentage: 0.04167 * 100 equals approximately 4.17%.
Step 7: Conclude that the relative error is 4.17%.
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