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A measurement of length is recorded as 5.0 cm with an uncertainty of ±0.1 cm. Wh
A measurement of length is recorded as 5.0 cm with an uncertainty of ±0.1 cm. What is the relative error in this measurement?
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Practice Questions
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Q1
A measurement of length is recorded as 5.0 cm with an uncertainty of ±0.1 cm. What is the relative error in this measurement?
0.02
0.01
0.005
0.1
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Relative error = (absolute error / measured value) = 0.1 / 5.0 = 0.02 or 2%.
Questions & Step-by-step Solutions
1 item
Q
Q: A measurement of length is recorded as 5.0 cm with an uncertainty of ±0.1 cm. What is the relative error in this measurement?
Solution:
Relative error = (absolute error / measured value) = 0.1 / 5.0 = 0.02 or 2%.
Steps: 6
Show Steps
Step 1: Identify the absolute error, which is given as ±0.1 cm.
Step 2: Identify the measured value, which is 5.0 cm.
Step 3: Calculate the relative error using the formula: relative error = (absolute error / measured value).
Step 4: Substitute the values into the formula: relative error = 0.1 cm / 5.0 cm.
Step 5: Perform the division: 0.1 / 5.0 = 0.02.
Step 6: Convert the relative error to a percentage by multiplying by 100: 0.02 * 100 = 2%.
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