question_answer

A student performs an experiment for determination of\[g\,\left[ =\frac{4{{\pi }^{2}}l}{{{T}^{2}}} \right]\,,\,\,\,l\,\,\approx \,\,1\,m\], 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 0.1 s. For which of the following data, the measurement of g will be the most accurate?

A) \[\Delta L=0.5,\text{ }\Delta T=0.1,\text{ }n=20\]           

B) \[\Delta L=0.5,\text{ }\Delta T=0.1,\text{ }n=50\]

C) \[\Delta L=0.5,\text{ }\Delta T=0.01,\text{ }n=20\]

D) \[\Delta L=0.5,\text{ }\Delta T=0.05,\text{ }n=50\]