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# A student performs an experiment for determination of $g \bigg( \large\frac{4 \pi ^2l}{T^2}\bigg)$$, l \approx 1m$ , and he commits an error of $\Delta l$. 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 0.1s. For which of the following data, the measurement of g will be most accurate?

 $\Delta l$ $\Delta T$ n Amplitude of oscillation (A) 5 mm 0.2 s 10 5 mm (B) 5 mm 0.2 s 20 5 mm (C) 5 mm 0.1 s 20 1 mm (D) 1 mm 0.1 s 50 1 mm

D
Hence (D) is the correct answer.