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A student performs an experiment for determination of $g \left(=\frac{4 \pi^{2} l }{ T ^{2}}\right), \ell =1 m$ and he commits an error of $\Delta \ell$. For $T$ he takes the time of $n$ oscillations with the stop watch of least count $\Delta T$ and he commits a human error of $0.1 s$ For which of the following data, the measurement of $g$ will be most accurate?
  • A$\Delta \ell = 5\,mm, \, \Delta T = 0.2s, n = 10$
  • B$\Delta \ell= 5mm,  \Delta T = 0.2s, n = 20$
  • C$\Delta \ell = 5mm,  \Delta T = 0.1s, n = 10$
  • D$\Delta \ell = 1mm ,  \Delta T = 0.1s, n = 50$
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