To determine Young's modulus of a wire, the formula is $Y = \frac{F}{A}.\frac{L}{{\Delta L}}$ where $F/A$ is the stress and $L/\Delta L$ is the strain. The conversion factor to change $Y$ from $CGS$ to $MKS$ system is
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$\mathrm{y}=\frac{\mathrm{F}}{\mathrm{A}} \cdot \frac{\Delta \mathrm{L}}{\mathrm{L}}$

$[\mathrm{Y}]=\frac{\mathrm{MLT}^{-2}}{\mathrm{L}^{2}}=\mathrm{ML}^{-1} \mathrm{T}^{-2}$

Conversion factor from $CGS$ to $MKS$ is $0.1 .$

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