Physics 9702 · AS & A Level · Errors and uncertainties

Errors and uncertainties — practice question

A student measures quantities in order to work out the density of a liquid in a beaker. The liquid has a height of $0.20\,\text{m} \pm 2\%$ in the beaker. The beaker’s internal diameter is $0.05\,\text{m} \pm 3\%$. The liquid’s mass is $0.36\,\text{kg} \pm 10\%$. Determine the percentage uncertainty in the calculated density of the liquid.

  • A$2\%$
  • B$5\%$
  • C$15\%$
  • D$18\%$

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