Q.

In an experiment to determine the Young's modulus, steel wires of five different lengths (1, 2, 3, 4 and 5 m) 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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answer is 2.

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Detailed Solution

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 Slope =Δl/wL=Δl/Lw=1YAY=1( slope )AY=12×1060.25×105Y=2×1011N/m2

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