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Units and Measurements question

2007 · Shift 2 · Q9

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JEE Advanced
Physics
Units and Measurements
2007 · Shift 2 · Q9

Units and Measurements question

2007 · Shift 2 · Q9

JEE AdvancedPhysicsUnits and MeasurementsMCQ+3 / −1

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

\pm0.05\;\mathrm{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

\pm0.01\;\mathrm{mm}

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

A
$\left(2.0\;\pm\;0.3\right)\times10^{11}\;\mathrm N/\mathrm m^2$
B
$\left(2.0\;\pm\;0.2\right)\times10^{11}\;\mathrm N/\mathrm m^2$
C
$\left(2.0\;\pm\;0.1\right)\times10^{11}\;\mathrm N/\mathrm m^2$
D
$\left(2.0\;\pm\;0.05\right)\times10^{11}\;\mathrm N/\mathrm m^2$

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