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 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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