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A length is measured as 100 m with a possible error of 1 m. What is the percenta

Practice Questions

Q1
A length is measured as 100 m with a possible error of 1 m. What is the percentage error?
  1. 1%
  2. 0.5%
  3. 2%
  4. 0.1%

Questions & Step-by-Step Solutions

A length is measured as 100 m with a possible error of 1 m. What is the percentage error?
  • Step 1: Identify the absolute error, which is given as 1 m.
  • Step 2: Identify the true value, which is the measured length of 100 m.
  • Step 3: Use the formula for percentage error: Percentage error = (Absolute error / True value) * 100.
  • Step 4: Substitute the values into the formula: Percentage error = (1 / 100) * 100.
  • Step 5: Calculate the result: (1 / 100) equals 0.01, and 0.01 * 100 equals 1.
  • Step 6: Conclude that the percentage error is 1%.
  • 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 of the quantity being measured, which in this case is 100 m.
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