If the measured length of a rod is 20 cm with an error of 0.5 cm, what is the re

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Question: If the measured length of a rod is 20 cm with an error of 0.5 cm, what is the relative error in the measurement?

Options:

Correct Answer: 0.05

Solution:

Relative error = (Absolute error / Measured value) = 0.5 / 20 = 0.025 or 2.5%

If the measured length of a rod is 20 cm with an error of 0.5 cm, what is the relative error in the measurement?

If the measured length of a rod is 20 cm with an error of 0.5 cm, what is the relative error in the measurement?

Step 1: Identify the measured length of the rod, which is 20 cm.
Step 2: Identify the absolute error in the measurement, which is 0.5 cm.
Step 3: Use the formula for relative error: Relative error = (Absolute error / Measured value).
Step 4: Substitute the values into the formula: Relative error = 0.5 cm / 20 cm.
Step 5: Calculate the division: 0.5 divided by 20 equals 0.025.
Step 6: To express the relative error as a percentage, multiply 0.025 by 100, which equals 2.5%.

Relative Error – Relative error is the ratio of the absolute error to the measured value, often expressed as a percentage.
Absolute Error – Absolute error is the difference between the measured value and the true value, indicating the uncertainty in the measurement.