A volume is measured as 200 L with an error of 5 L. What is the relative error i

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Question: A volume is measured as 200 L with an error of 5 L. What is the relative error in percentage?

Options:

Correct Answer: 2.5%

Solution:

Relative error = (Absolute error / Measured value) * 100 = (5 / 200) * 100 = 2.5%

A volume is measured as 200 L with an error of 5 L. What is the relative error in percentage?

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.