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A student measures the width of a table as 1.2 m with a possible error of 0.02 m

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Question: A student measures the width of a table as 1.2 m with a possible error of 0.02 m. What is the range of the true width?

Options:

  1. 1.18 m to 1.22 m
  2. 1.20 m to 1.22 m
  3. 1.20 m to 1.24 m
  4. 1.18 m to 1.20 m

Correct Answer: 1.18 m to 1.22 m

Solution: 

True width = Measured value ± Absolute error = 1.2 ± 0.02 gives the range 1.18 m to 1.22 m.

A student measures the width of a table as 1.2 m with a possible error of 0.02 m

Practice Questions

Q1
A student measures the width of a table as 1.2 m with a possible error of 0.02 m. What is the range of the true width?
  1. 1.18 m to 1.22 m
  2. 1.20 m to 1.22 m
  3. 1.20 m to 1.24 m
  4. 1.18 m to 1.20 m

Questions & Step-by-Step Solutions

A student measures the width of a table as 1.2 m with a possible error of 0.02 m. What is the range of the true width?
  • Step 1: Identify the measured value of the table's width, which is 1.2 m.
  • Step 2: Identify the possible error in the measurement, which is 0.02 m.
  • Step 3: To find the range of the true width, subtract the possible error from the measured value: 1.2 m - 0.02 m = 1.18 m.
  • Step 4: Now, add the possible error to the measured value: 1.2 m + 0.02 m = 1.22 m.
  • Step 5: The range of the true width is from 1.18 m to 1.22 m.
  • Measurement and Error Analysis – Understanding how to calculate the range of a true value based on a measured value and its associated error.
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