A student performs an experiment to determine the 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 m with an uncertainity of +- 0.05 mm at a load of exactly 1.0 kg. The student also measures the diameter of the wire to be 0.4 mm with a uncertainity of +- 0.01 mm. Take g= 9.8 m/s^2 (exact). The Young's modulus obtained from the reading is:
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