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A thermometer reads 25.0 °C with an uncertainty of ±0.5 °C. What is the range of
Practice Questions
Q1
A thermometer reads 25.0 °C with an uncertainty of ±0.5 °C. What is the range of possible true temperatures?
24.5 °C to 25.5 °C
25.0 °C to 26.0 °C
24.0 °C to 25.0 °C
25.0 °C to 25.5 °C
Questions & Step-by-Step Solutions
A thermometer reads 25.0 °C with an uncertainty of ±0.5 °C. What is the range of possible true temperatures?
Steps
Concepts
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.
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