Physics 9702 · AS & A Level · Errors and uncertainties

Errors and uncertainties — practice question

A rectangular block’s material density is found from measurements of its mass and its linear dimensions. The measurements and their uncertainties are given below. mass $= (25.0 \pm 0.1)\,\text{g}$ length $= (5.00 \pm 0.01)\,\text{cm}$ width $= (2.00 \pm 0.01)\,\text{cm}$ height $= (1.00 \pm 0.01)\,\text{cm}$ The calculated density is $2.50\,\text{g cm}^{-3}$. What uncertainty should be assigned to this value?

  • A$\pm 0.01\,\text{g cm}^{-3}$
  • B$\pm 0.02\,\text{g cm}^{-3}$
  • C$\pm 0.05\,\text{g cm}^{-3}$
  • D$\pm 0.13\,\text{g cm}^{-3}$

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