Physics

Physics

Problem

Two quantities are measured as a=2.0±0.1a = 2.0 \pm 0.1 and b=3.00±0.01b = 3.00 \pm 0.01. They are multiplied to obtain Q=abQ = ab. Which statement about the contribution of aa and bb to the uncertainty in QQ is correct? a) bb contributes more because its absolute uncertainty is larger. b) aa contributes more because its percentage (relative) uncertainty is larger. c) Both contribute equally because absolute uncertainties are added when quantities are multiplied. d) Neither contributes; the product QQ is exact due to significant figures.

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