An elongation of 0.1 % in a wire of cross-sectional area 10^-6 m^2 causes a tension of 100 N.

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An elongation of 0.1 % in a wire of cross-sectional area...

An elongation of $0.1 \%$ in a wire of cross-sectional area $10^{-6} \mathrm{~m}^{2}$ causes a tension of $100 \mathrm{~N}$. The Young's modulus is (A) $10^{12} \mathrm{~N} / \mathrm{m}^{2}$ (B) $10^{11} \mathrm{~N} / \mathrm{m}^{2}$ (C) $10^{10} \mathrm{~N} / \mathrm{m}^{2}$ (D) $10^{2} \mathrm{~N} / \mathrm{m}^{2}$

An elongation of $0.1 \%$ in a wire of cross-sectional area $10^{-6} \mathrm{~m}^{2}$ causes a tension of $100 \mathrm{~N}$. The Young's modulus is
(A) $10^{12} \mathrm{~N} / \mathrm{m}^{2}$
(B) $10^{11} \mathrm{~N} / \mathrm{m}^{2}$
(C) $10^{10} \mathrm{~N} / \mathrm{m}^{2}$
(D) $10^{2} \mathrm{~N} / \mathrm{m}^{2}$

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Key Concepts

Elasticity

Elasticity is the characteristic of a material that allows it to return to its original shape after the removal of an applied force. This concept underpins the relationship between stress and strain and is central to understanding material behavior under load.

Strain

Strain is the measure of deformation representing the relative change in shape or size of a material under stress, usually expressed as a dimensionless ratio. It indicates the extent of deformation relative to the original dimensions.

Young's Modulus

Young's modulus is a fundamental property of materials that measures their stiffness, defined as the ratio of stress to strain in the elastic regime of the material. It quantifies how much a material will deform under a given load and is crucial for understanding elastic behavior in solids.

Stress

Stress is a measure of internal forces within a material, defined as the force applied per unit area. It provides insight into how external forces are distributed internally, and is typically measured in units such as N/m².

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