Students I, II and III perform an experiment for measuring the acceleration due to gravity (g) using a simple pendulum. They use different lengths of the pendulum and/or record time for different number of oscillations. The observations are shown in the table. Least count for length = 0.1 cm. Least count for time = 0.1 s. Student Length of pendulum (cm) Number of oscillations (n) Total time for (n) oscillations (s) Time period (s) I 64.0 8 128.0 16.0 II 64.0 4 64.0 16.0 III 20.0 4 36.0 9.0 If E_I, E_{II} and E_{III} are the percentage errors in g, that is, ≤ft(Δ g/g × 100) for students I, II, and III, respectively, then [JEE Adv 2008 P1]

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Correct Answer is : E1E₁E1​ is minimum

IIT JEE Advanced 2008 Paper 1