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A length is measured as 15.0 m with an uncertainty of ±0.3 m. What is the fracti
A length is measured as 15.0 m with an uncertainty of ±0.3 m. What is the fractional error in this measurement?
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Practice Questions
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Q1
A length is measured as 15.0 m with an uncertainty of ±0.3 m. What is the fractional error in this measurement?
0.02
0.03
0.01
0.005
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Fractional error = (absolute error / measured value) = 0.3 / 15.0 = 0.02.
Questions & Step-by-step Solutions
1 item
Q
Q: A length is measured as 15.0 m with an uncertainty of ±0.3 m. What is the fractional error in this measurement?
Solution:
Fractional error = (absolute error / measured value) = 0.3 / 15.0 = 0.02.
Steps: 5
Show Steps
Step 1: Identify the measured value, which is 15.0 m.
Step 2: Identify the absolute error, which is ±0.3 m.
Step 3: Use the formula for fractional error: fractional error = absolute error / measured value.
Step 4: Substitute the values into the formula: fractional error = 0.3 m / 15.0 m.
Step 5: Calculate the result: 0.3 divided by 15.0 equals 0.02.
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