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The period of oscillation of a simple pendulum is T = 2π√(L/g). Measured value of L is 20.0 cm known to 1 mm accuracy and time for 100 oscillations of the pendulum is found to be 90 s using a wrist watch of 1 s resolution. The accuracy in the determination of g is
- 2 %
- 3 %
- 1 %
- 5 %
Correct answer: 3 %
Solution
The accuracy in determining g is influenced by the uncertainties in both the length L and the time measurement for the oscillations. Given the precision of L and the time taken for 100 oscillations, the derived value of g has a combined uncertainty that results in an overall accuracy of approximately 3%.
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