In an experiment to find acceleration due to gravity $(g)$ using simple pendulum, time period of $0.5\,s$ is measured from time of $100$ oscillation with a watch of $1\;s$ resolution. If measured value of length is $10\; cm$ known to $1\; mm$ accuracy. The accuracy in the determination of $g$ is found to be $x \%$. The value of $x$ is

  • [JEE MAIN 2022]
  • A

    $4$

  • B

    $5$

  • C

    $3$

  • D

    $2$

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  • [JEE MAIN 2021]

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