Physics - Error Question with Solution | TestHub

In the determination of Young's modulus $\left(Y=\frac{4MLg}{\pi l{d}^2}\right)$ by using Searle's method, a wire of length $L=2\mathrm{m}$ and diameter $d=0.5\mathrm{mm}$ is used. For a load $M=2.5\mathrm{kg}$, an extension $l=0.25\mathrm{mm}$ in the length of the wire is observed. Quantities $d$ and $l$ are measured using a screw gauge and a micrometer, respectively. They have the same pitch of $0.5\mathrm{mm}$. The number of divisions on their circular scale is 100 . The contributions to the maximum probable error of the $Y$ measurement