A length is measured as 5.67 m with an uncertainty of 0.01 m. What is the percen

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Question: A length is measured as 5.67 m with an uncertainty of 0.01 m. What is the percentage error?

Options:

Correct Answer: 0.2%

Solution:

Percentage error = (Uncertainty / Measured value) * 100 = (0.01 / 5.67) * 100 ≈ 0.176%.

A length is measured as 5.67 m with an uncertainty of 0.01 m. What is the percentage error?

A length is measured as 5.67 m with an uncertainty of 0.01 m. What is the percentage error?

Step 1: Identify the measured value, which is 5.67 m.
Step 2: Identify the uncertainty, which is 0.01 m.
Step 3: Use the formula for percentage error: Percentage error = (Uncertainty / Measured value) * 100.
Step 4: Substitute the values into the formula: Percentage error = (0.01 / 5.67) * 100.
Step 5: Calculate the division: 0.01 divided by 5.67 equals approximately 0.00176.
Step 6: Multiply the result by 100 to convert it to a percentage: 0.00176 * 100 equals approximately 0.176.
Step 7: The final result is that the percentage error is approximately 0.176%.

Percentage Error – Percentage error is a measure of how inaccurate a measurement is, expressed as a percentage of the measured value.
Uncertainty in Measurement – Uncertainty represents the doubt about the result of a measurement, indicating the range within which the true value lies.