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Question

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) × 1011 N/m2
B.(2 .0 ± 0.2) × 1011 N/m2
C.(2 .0 ± 0.1) × 1011 N/m2
D.(2 .0 ± 0.5) × 1011 N/m2

Solution

Y =
= 0.1125
ᐃY = 2 × 1011 × 0.1125

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