Test Academy | 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 rom 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 ± 0.01mm. Take g =9.8 m/s² (exact). The Young's modulus obtained from the reading is (2.0 ±0.3)x 10¹¹ N/m², (2.0 ±0.2)x 10¹¹ N/m², (2.0 ±0.1)x 10¹¹ N/m², (2.0 ±0.05)x 10¹¹ N/m²

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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 rom 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 ± 0.01mm. Take g =9.8 m/s² (exact). The Young's modulus obtained from the reading is

Options :

(2.0 ±0.3)x 10¹¹ N/m²
(2.0 ±0.2)x 10¹¹ N/m²
(2.0 ±0.1)x 10¹¹ N/m²
(2.0 ±0.05)x 10¹¹ N/m²

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