A length is measured as 20 cm with an error of 0.5 cm. What is the percentage er

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Question: A length is measured as 20 cm with an error of 0.5 cm. What is the percentage error?

Options:

Correct Answer: 2.5%

Solution:

Percentage error = (Absolute error / True value) * 100 = (0.5 / 20) * 100 = 2.5%.

A length is measured as 20 cm with an error of 0.5 cm. What is the percentage error?

A length is measured as 20 cm with an error of 0.5 cm. What is the percentage error?

Step 1: Identify the absolute error, which is given as 0.5 cm.
Step 2: Identify the true value, which is the measured length of 20 cm.
Step 3: Use the formula for percentage error: Percentage error = (Absolute error / True value) * 100.
Step 4: Substitute the values into the formula: Percentage error = (0.5 / 20) * 100.
Step 5: Calculate the division: 0.5 divided by 20 equals 0.025.
Step 6: Multiply the result by 100 to find the percentage: 0.025 * 100 equals 2.5.
Step 7: Conclude that the percentage error is 2.5%.

Percentage Error – Percentage error is a way to express the accuracy of a measurement by comparing the absolute error to the true value.
Absolute Error – Absolute error is the difference between the measured value and the true value, indicating the accuracy of the measurement.