In an experiment to determine the acceleration due to gravity \( g \), the formula used for the time period of a periodic motion is \( T=2 \pi \sqrt{\left(\frac{7(R-r)}{5 g}\right)} \). The values of \( R \) and \( r \) are measured to be \( (60 \pm 1) \mathrm{mm} \) and \( (10 \pm 1) \mathrm{mm} \), respectively. In five successive measurements, the time period is found to be \( 0.52 \mathrm{~s} \), \( 0.56 \mathrm{~s}, 0.57 \mathrm{~s}, 0.54 \mathrm{~s} \) and \( 0.59 \mathrm{~s} \). The least count of the
(A) The error in the measurement of \( \mathrm{r} \) is \( 10 \% \) watch used for the measurement of time period is
(B) The error in the measurement of \( \mathrm{T} \) is \( 3.57 \% \) \( 0.01 \mathrm{~s} \). Which of the following statement(s) is(are)
(C) The error in the measurement of \( \mathrm{T} \) is \( 2 \% \) true?
(D) The error in the determined value of \( g \) is \( 11 \% \)
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