A thermometer reads 25.0 °C with an uncertainty of ±0.5 °C. What is the range of

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Question: A thermometer reads 25.0 °C with an uncertainty of ±0.5 °C. What is the range of possible true temperatures?

Options:

Correct Answer: 24.5 °C to 25.5 °C

Solution:

Range = Measured value ± Uncertainty = 25.0 ± 0.5 = 24.5 °C to 25.5 °C.

A thermometer reads 25.0 °C with an uncertainty of ±0.5 °C. What is the range of possible true temperatures?

A thermometer reads 25.0 °C with an uncertainty of ±0.5 °C. What is the range of possible true temperatures?

Step 1: Identify the measured temperature from the thermometer, which is 25.0 °C.
Step 2: Identify the uncertainty given, which is ±0.5 °C.
Step 3: Calculate the lower limit of the temperature range by subtracting the uncertainty from the measured value: 25.0 °C - 0.5 °C = 24.5 °C.
Step 4: Calculate the upper limit of the temperature range by adding the uncertainty to the measured value: 25.0 °C + 0.5 °C = 25.5 °C.
Step 5: Combine the lower and upper limits to express the range of possible true temperatures: 24.5 °C to 25.5 °C.

Measurement and Uncertainty – Understanding how to express a measured value along with its uncertainty to determine a range of possible true values.