A thermometer reads 100.5 °C when the actual temperature is 100.0 °C. What is th

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Question: A thermometer reads 100.5 °C when the actual temperature is 100.0 °C. What is the percentage error in the measurement?

Options:

Correct Answer: 1.0%

Solution:

Percentage error = (Absolute error / True value) * 100 = (0.5 / 100.0) * 100 = 0.5%.

A thermometer reads 100.5 °C when the actual temperature is 100.0 °C. What is the percentage error in the measurement?

A thermometer reads 100.5 °C when the actual temperature is 100.0 °C. What is the percentage error in the measurement?

Step 1: Identify the measured temperature from the thermometer, which is 100.5 °C.
Step 2: Identify the actual temperature, which is 100.0 °C.
Step 3: Calculate the absolute error by subtracting the actual temperature from the measured temperature: 100.5 °C - 100.0 °C = 0.5 °C.
Step 4: Use the formula for percentage error: Percentage error = (Absolute error / True value) * 100.
Step 5: Substitute the values into the formula: Percentage error = (0.5 / 100.0) * 100.
Step 6: Calculate the percentage error: (0.5 / 100.0) = 0.005, then multiply by 100 to get 0.5%.

Percentage Error – Percentage error is a measure of how inaccurate a measurement is, expressed as a percentage of the true value.
Absolute Error – Absolute error is the difference between the measured value and the true value.
True Value – The true value is the actual value that is being measured, which serves as a reference for calculating errors.