The time period of a simple pendulum is given by \( T=2 \pi \sqrt{\frac{l}{g}} \). The measured ....

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The time period of a simple pendulum is given by \( T=2 \pi \sqrt{\frac{l}{g}} \). The measured value of the length of
\( \mathrm{P} \)
pendulum is \( 10 \mathrm{~cm} \) known to a \( 1 \mathrm{~mm} \) accuracy. The time for 200 oscillations of the pendulum is found to be 100 second using a clock of 1 s resolution. The percentage accuracy in the determination of ' \( g \) ' using this pendulum is ' \( x \) '. The value of ' \( x \) ' to be nearest integer is:-
(1) \( 2 \% \)
(2) \( 3 \% \)
(3) \( 5 \% \)
(4) \( 4 \% \)


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