Moderate

Total uncertainty, in the result obtained from the subtraction of two measurements, is equal to_______________?

Correct answer: A. Sum of their absolute uncertainties

  • A. Sum of their absolute uncertainties
  • B. The difference of their absolute uncertainties
  • C. The product of their absolute uncertainties
  • D. Division of their absolute uncertainties

Explanation

For subtraction, the maximum absolute uncertainty is found by adding the absolute uncertainties: if z = x - y, then Δz = Δx + Δy. This is because uncertainty in either reading can increase the uncertainty in the difference. Students may choose B by subtracting the measured values and incorrectly subtracting their uncertainties as well.

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