Physics - Error Question with Solution | TestHub

A student performs an experiment to determine the Young's modulus of a wire, exactly $2\mathrm{m}$ long, by Searle's method. In a particular reading, the student measures the extension in the length of the wire to be $0.8\mathrm{mm}$ with an uncertainty of $\pm 0.05\mathrm{mm}$ at a load of exactly $1.0\mathrm{kg}$. The student also measures the diameter of the wire to be $0.4\mathrm{mm}$ with an uncertainty of $\pm 0.01\mathrm{mm}$. Take $g=9.8\mathrm{m}/{\mathrm{s}}^2$ (exact). The Young's modulus obtained from the reading is