Medium MCQ +4 / -1

If $Z = A^2 B / C$, the maximum relative error in $Z$ is:

  1. A $\Delta A/A + \Delta B/B + \Delta C/C$
  2. B $2\Delta A/A + \Delta B/B + \Delta C/C$ Correct answer
  3. C $2\Delta A/A + \Delta B/B - \Delta C/C$
  4. D $(\Delta A)^2 + \Delta B + \Delta C$

Solution

For $Z = A^n B^m / C^k$: $\Delta Z/Z = n\Delta A/A + m\Delta B/B + k\Delta C/C$ (errors always add).

About this question

Subject: Physics · Chapter: Units and Measurement · Topic: Errors in Measurement

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