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 mm with an uncertainty 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 an uncertainty of ±0.01 mm. Take g=9.8 m/s² (exact). The Young’s modulus obtained from the reading is

Options

(a) (2.0±0.3)x10¹¹ N/m²
(b) (2.0±0.2)x10¹¹ N/m²
(c) (2.0±0.1)x10¹¹ N/m²
(d) (2.0±0.05)x10¹¹ N/m²

Correct Answer:

(2.0±0.2)x10¹¹ N/m²

Explanation:

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