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Question 5016
NEET Physics · Medium

Units & Measurements: Error Propagation MCQ

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Error PropagationMediumQuestion 5016

Question

The radius of a sphere has a maximum percentage error of 2%. What is the first-order maximum percentage error in its volume?
  1. A
    2%
  2. B
    4%
  3. C
    6%
    Correct
  4. D
    8%

Correct answer

6%

Explanation

Volume V = (4/3)πr³. Relative error in V = 3 × (relative error in r) = 3 × 2% = 6%.

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