Λwirc of arca o ⌈. cross-section 10^6 m^2 is stretched to increasc its length by 0.1 %. The ten

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Λwirc of arca o ⌈. cross-section 10^6 m^2 is stretched to...

$\Lambda$ wirc of arca o $\left\lceil\right.$ cross-section $10^{6} \mathrm{~m}^{2}$ is stretched to increasc its length by $0.1 \%$. The tension produced is $1000 \mathrm{~N}$. The Young's modulus of wire is (a) $10^{17} \mathrm{~N} / \mathrm{m}^{2}$ (b) $10^{12} \mathrm{~N} / \mathrm{m}^{2}$ (c) $10^{10} \mathrm{~N} / \mathrm{m}^{2}$ (d) $10^{\mathrm{y}} \mathrm{N} / \mathrm{m}^{2}$

$\Lambda$ wirc of arca o $\left\lceil\right.$ cross-section $10^{6} \mathrm{~m}^{2}$ is stretched to increasc its length by $0.1 \%$. The tension produced is $1000 \mathrm{~N}$. The Young's modulus of wire is
(a) $10^{17} \mathrm{~N} / \mathrm{m}^{2}$
(b) $10^{12} \mathrm{~N} / \mathrm{m}^{2}$
(c) $10^{10} \mathrm{~N} / \mathrm{m}^{2}$
(d) $10^{\mathrm{y}} \mathrm{N} / \mathrm{m}^{2}$

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Key Concepts

Young's Modulus

Young's modulus is a material property that quantifies the stiffness of an elastic material. It is defined as the ratio of tensile stress (force per unit area) to tensile strain (relative change in length) in the region where the material deforms elastically. This constant helps determine how much a material will stretch or compress under a given load.

Stress

Stress is the measure of the internal forces in a material, defined as the force applied per unit cross-sectional area. It represents how force is distributed inside a material and is a key factor in determining whether the material will deform or fail under load.

Strain

Strain is the measure of deformation of a material, representing the fractional change in length under stress. It is the ratio of the change in length to the original length, providing a dimensionless measure of how much a material stretches or compresses.

Hooke's Law

Hooke's law is a principle of elasticity that states that, within the elastic limit, the strain in a material is proportional to the applied stress. This relationship is the basis for calculating Young's modulus, as it links stress and strain in linear elastic materials.

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