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Physics Mechanical Properties of Solids Physics Class 11th Mechanical Properties of Solids

In an experiment to determine the Young’s modulus, steel wires of five different lengths (1, 2, 3, 4, and 5m ) but of same cross section (2 mm²) were taken and curves between extension and load were obtained. The slope (extension / load) of the curves were plotted with the wire length and the following graph is obtained. If the Young’s modulus of given steel wires is x × 10¹¹ Nm^-², then the value of x is________.

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Vishal Baghel | Contributor-Level 10

2 months ago

Slope = $\frac{Δ L / W}{L} = \frac{Δ L / L}{W} = \frac{1}{Y A}$ $\frac{}{} \frac{}{} \frac{}{}$

$Y = \frac{1}{(S l o p e) A}$

$Y = \frac{1}{(2 \times 1 0^{- 6}) (0.25 \times 1 0^{- 5})}$

$Y = 2 \times 1 0^{11} N / m^{2}$

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