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A measurement of length is recorded as 12.3 cm with an uncertainty of ±0.1 cm. W
A measurement of length is recorded as 12.3 cm with an uncertainty of ±0.1 cm. What is the relative error in the measurement?
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Practice Questions
1 question
Q1
A measurement of length is recorded as 12.3 cm with an uncertainty of ±0.1 cm. What is the relative error in the measurement?
0.0081
0.008
0.01
0.1
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Relative error = (absolute error / measured value) = 0.1 / 12.3 = 0.0081.
Questions & Step-by-step Solutions
1 item
Q
Q: A measurement of length is recorded as 12.3 cm with an uncertainty of ±0.1 cm. What is the relative error in the measurement?
Solution:
Relative error = (absolute error / measured value) = 0.1 / 12.3 = 0.0081.
Steps: 5
Show Steps
Step 1: Identify the absolute error, which is given as ±0.1 cm.
Step 2: Identify the measured value, which is 12.3 cm.
Step 3: Use the formula for relative error: Relative error = (absolute error / measured value).
Step 4: Substitute the values into the formula: Relative error = 0.1 / 12.3.
Step 5: Calculate the result: 0.1 divided by 12.3 equals approximately 0.0081.
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