Physics 9702 · AS & A Level · Errors and uncertainties

Errors and uncertainties — practice question

Two measurements are taken. $L = 6.8 \pm 0.1\,\text{cm}$ $T = 2.42 \pm 0.08\,\text{s}$ The relationship between $L$ and $T$ and $X$ is given by the equation below. $X = \frac{4\pi^2 L}{T^2}$ Calculate the value and uncertainty of $X$.

  • A$45.8 \pm 0.2\,\text{cm s}^{-2}$
  • B$45.8 \pm 0.3\,\text{cm s}^{-2}$
  • C$46 \pm 2\,\text{cm s}^{-2}$
  • D$46 \pm 4\,\text{cm s}^{-2}$

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