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Question 5017
NEET Physics · Medium

Units & Measurements: Error Propagation MCQ

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Error PropagationMediumQuestion 5017

Question

The percentage error in the measurement of mass is 1% and in length 2%. The maximum percentage error in the measurement of density (mass/volume, where volume = l³) is:
  1. A
    1%
  2. B
    5%
  3. C
    7%
    Correct
  4. D
    9%

Correct answer

7%

Explanation

Density ρ = m/V = m/l³. % error in ρ = % error in m + 3 × % error in l = 1% + 3×2% = 7%.

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