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Physics (AS & A Level) · May / June 2017 · Paper 11 · Question 9

9702Errors and uncertainties

A student attempts to find the density ρ of aluminium by taking measurements of a rectangular sheet. mass m = 51.6 ± 0.1 g length l = 100.0 ± 0.1 cm width w = 10.0 ± 0.1 cm thickness t = 0.20 ± 0.01 mm He uses the equation ρ = m/(wlt) to calculate the density. What is the calculated value of density with its uncertainty?

  1. A0.26 ± 0.01 g cm⁻³
  2. B0.26 ± 0.02 g cm⁻³
  3. C2.6 ± 0.1 g cm⁻³
  4. D2.6 ± 0.2 g cm⁻³

As printed in the paper

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Correct answer: D. 2.6 ± 0.2 g cm⁻³

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