Properties Of Matter

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