During a practical examination a student measures the length of a simple pendulum as…

PHYSICS · Multi-part · A Level · Physics · Measurements and their errors · Measurements and their errors

Problem

During a practical examination a student measures the length of a simple pendulum as L=0.800 mL = 0.800\,\text{m} with a metre scale having a least count of 0.001 m0.001\,\text{m}. The time taken for 5050 oscillations is noted as 90.0 s90.0\,\text{s} with a stop-watch of least count 0.1 s0.1\,\text{s}. (i) Determine the time period TT and its absolute uncertainty. (ii) Using the measured quantities and their uncertainties, calculate the value of the acceleration due to gravity and the percentage uncertainty in the result. (iii) Report the final value of gg with its absolute uncertainty, rounded off to the appropriate number of significant figures.

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