A student performs an experiment to determine Young's modulus of a wire, exactly 2 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 mm with an uncertainty of ±0.05 mm at a load of 1.0 kg. The student also measures the diameter of the wire to be 0.4 mm with an uncertainty of ±0.01 mm. Take g=9.8 m/s2 (exact). Find Young's modulus of elasticity with limits of error.