The length of a simple pendulum is about and is known with an accuracy of

PHYSICS · Single correct · A Level · Physics · Measurements and their errors · Measurements and their errors

Problem

The length of a simple pendulum is about 100 cm100\,\mathrm{cm} and is known with an accuracy of 1 mm1\,\mathrm{mm}. Its period is 2 s2\,\mathrm{s}, determined by measuring the time for 100100 oscillations using a clock with 0.1 s0.1\,\mathrm{s} resolution. What is the accuracy in the determined value of gg? (1) 0.2%0.2\% (2) 0.5%0.5\% (3) 0.1%0.1\% (4) 2%2\%

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