If a measurement of time is recorded as 15.0 s with an uncertainty of ±0.5 s, wh

Practice Questions

Q1
If a measurement of time is recorded as 15.0 s with an uncertainty of ±0.5 s, what is the total time range?
  1. 14.5 s to 15.5 s
  2. 15.0 s to 16.0 s
  3. 14.0 s to 15.0 s
  4. 15.0 s to 15.5 s

Questions & Step-by-Step Solutions

If a measurement of time is recorded as 15.0 s with an uncertainty of ±0.5 s, what is the total time range?
  • Step 1: Identify the measured time, which is 15.0 seconds.
  • Step 2: Identify the uncertainty, which is ±0.5 seconds.
  • Step 3: Calculate the lower limit of the time range by subtracting the uncertainty from the measured time: 15.0 s - 0.5 s = 14.5 s.
  • Step 4: Calculate the upper limit of the time range by adding the uncertainty to the measured time: 15.0 s + 0.5 s = 15.5 s.
  • Step 5: Combine the lower and upper limits to express the total time range: 14.5 s to 15.5 s.
  • Measurement and Uncertainty – Understanding how to express a measurement with its associated uncertainty and how to calculate the range of possible values.
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