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When two measured quantities are multiplied, it is their

  • A.relative uncertainties that simply subtract
  • B.relative uncertainties that combine in quadrature
  • C.absolute uncertainties that combine in quadrature
  • D.absolute uncertainties that simply add together

Answer: B

Differentiating the product shows that the fractional uncertainties are what carry through, so a one per cent uncertainty in each gives about one and a half per cent in the product. Mixing absolute and relative quantities is the usual error.

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