A volume is measured as 200 L with an error of 5 L. What is the relative error i
Practice Questions
Q1
A volume is measured as 200 L with an error of 5 L. What is the relative error in percentage?
2.5%
5%
1%
0.5%
Questions & Step-by-Step Solutions
A volume is measured as 200 L with an error of 5 L. What is the relative error in percentage?
Step 1: Identify the measured value, which is 200 L.
Step 2: Identify the absolute error, which is 5 L.
Step 3: Use the formula for relative error: Relative error = (Absolute error / Measured value) * 100.
Step 4: Substitute the values into the formula: Relative error = (5 / 200) * 100.
Step 5: Calculate the division: 5 divided by 200 equals 0.025.
Step 6: Multiply the result by 100 to convert it to a percentage: 0.025 * 100 equals 2.5%.
Step 7: The relative error is 2.5%.
Relative Error – Relative error is a measure of the uncertainty of a measurement compared to the size of the measurement itself, expressed as a percentage.
Absolute Error – Absolute error is the difference between the measured value and the true value, indicating the magnitude of the error.
Percentage Calculation – Understanding how to convert a fraction into a percentage by multiplying by 100.
