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Physics (AS & A Level) · Oct / Nov 2020 · Paper 13 · Question 5

9702Errors and uncertainties

A student measures the length $l$ and the period $T$ of oscillation of a simple pendulum. He then uses the equation shown to calculate the acceleration of free fall $g$. $T = 2\pi\sqrt{\dfrac{l}{g}}$ His measurements are shown. | | | |---|---| | $l$ | $(87.3 \pm 0.2)\,\text{cm}$ | | $T$ | $(1.9 \pm 0.05)\,\text{s}$ | What is the percentage uncertainty in his calculated value of $g$?

  1. A2.4%
  2. B2.9%
  3. C5.5%
  4. D7.2%

As printed in the paper

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Correct answer: C. 5.5%

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