Physics 9702 · AS & A Level · Errors and uncertainties

Errors and uncertainties — practice question

In an experiment used to find the acceleration of free fall $g$, the period of oscillation $T$ and the length $l$ of a simple pendulum were recorded. The estimated uncertainty in the measurement of $l$ is $4\%$, while the estimated uncertainty in the measurement of $T$ is $1\%$. The value of $g$ is found from $g = \frac{4\pi^2 l}{T^2}$. What uncertainty is there in the calculated value of $g$?

  • A$2\%$
  • B$3\%$
  • C$5\%$
  • D$6\%$

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