If the Young's modulus of a wire of length L. and radius r is Y and the length is reduced to L and radius —r, what will be its Young's modulus? Explain the reason.

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Anissh J

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Great question. Young's modulus is a material/intrinsic property of the material and is constant regardless of the change in dimension of the test specimen. Y = Stress/ Strain = F*L/A*dl Assume if you change the L to L/2 and r to r/2 i.e A to A/4 and Force required to get the same extension is also F/2,...
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Great question. Young's modulus is a material/intrinsic property of the material and is constantregardless of the change in dimension of the test specimen. Y = Stress/ Strain = F*L/A*dl Assume if you change the L to L/2 and r to r/2 i.e A to A/4 and Force required to get the same extension is also F/2, above equation becomes Y = 4*F*L/4*A*dl =F*L/A*dl ( Same as above) Happy learning!!! read less
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