Young's modulus is determined by the equation $Y = 49000 \frac{M}{\ell} \text{ dyne/cm}^2$,where $M$ is the mass and $\ell$ is the extension of the wire used in the experiment. The error in Young's modulus $(Y)$ is estimated by taking data from the $M-\ell$ plot on graph paper. The smallest scale divisions are $5 \text{ g}$ and $0.02 \text{ cm}$ along the load axis and extension axis,respectively. If the values of $M$ and $\ell$ are $500 \text{ g}$ and $2 \text{ cm}$ respectively,then the percentage error of $Y$ is: (in $\%$)

  • A
    $0.2$
  • B
    $0.02$
  • C
    $2$
  • D
    $0.5$

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