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 numbers of oscillations. The observations are shown in the table. Least count for length $= 0.1 \text{ cm}$. Least count for time $= 0.1 \text{ s}$.
StudentLength $(cm)$Oscillations $(n)$Total Time $(s)$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 $g$,i.e.,$(\frac{\Delta g}{g} \times 100)$ for students $I$,$II$,and $III$ respectively,which of the following is correct?

  • A
    $E_I = 0$
  • B
    $E_I$ is minimum
  • C
    $E_I = E_{II}$
  • D
    $E_{II}$ is maximum

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