Students I, II and III perform an experiment for measuring the acceleration due to…

MATHEMATICS · Single correct · GCSE · Mathematics · Number · Number

Problem

Students I, II and III perform an experiment for measuring the acceleration due to gravity (gg) 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.
StudentLength of the pendulum (cm)No. of oscillations (n)Total time for (n) oscillations (s)Time period (s)
I64.08128.016.0
II64.0464.016.0
III20.0436.09.0
If EIE_I, EIIE_{II} and EIIIE_{III} are the percentage errors in gg, i.e., (Δgg×100)\left(\frac{\Delta g}{g} \times 100\right) for students I, II and III, respectively, then (1) EI=0E_I = 0 (2) EIE_I is minimum (3) EI=EIIE_I = E_{II} (4) EIIE_{II} is maximum

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