A copper wire ( Y=1 ×10^11 Nm^-2 ) of length 6 m and a steel wire (Y=2 ×10^11 Nm^-2) of length

step 1 By using Young's Modulus formula, I can write the value of L -C -U is equal to M -G -L -C -U by

A copper wire ( Y=1 ×10^11 Nm^-2 ) of length 6 m and a...

A copper wire ( $Y=1 \times 10^{11} \mathrm{Nm}^{-2}$ ) of length $6 \mathrm{~m}$ and a steel wire $\left(Y=2 \times 10^{11} \mathrm{Nm}^{-2}\right)$ of length $4 \mathrm{~m}$ each of cross-section $10^{-5} \mathrm{~m}^{2}$ are fastened end to end and stretched by a tension of $100 \mathrm{~N}$. The elongation produced in the copper wire is: (a) $0.2 \mathrm{~mm}$ (b) $0.4 \mathrm{~mm}$ (c) $0.6 \mathrm{~mm}$ (d) $0.8 \mathrm{~mm}$

A copper wire ( $Y=1 \times 10^{11} \mathrm{Nm}^{-2}$ ) of length $6 \mathrm{~m}$ and a steel wire $\left(Y=2 \times 10^{11} \mathrm{Nm}^{-2}\right)$ of length $4 \mathrm{~m}$ each of cross-section $10^{-5} \mathrm{~m}^{2}$ are fastened end to end and stretched by a tension of $100 \mathrm{~N}$. The elongation produced in the copper wire is:
(a) $0.2 \mathrm{~mm}$
(b) $0.4 \mathrm{~mm}$
(c) $0.6 \mathrm{~mm}$
(d) $0.8 \mathrm{~mm}$

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Key Concepts

Young's Modulus

Young's Modulus is a fundamental material property that measures the stiffness or rigidity of a material. It relates the stress applied to a material to the strain (relative deformation) produced, and is used extensively in calculating elastic deformations under applied forces.

Stress and Strain

Stress is defined as the force applied per unit cross-sectional area of a material, while strain is the resulting fractional change in the material's length. These concepts form the basis for analyzing how materials deform under load within the elastic region.

Hooke's Law

Hooke's Law states that, within the elastic limit of a material, the amount of strain is directly proportional to the applied stress. This relationship allows for the calculation of elongation or compression in materials when subjected to forces.

Tensile Deformation

Tensile deformation refers to the stretching or elongation of a material when a tensile force is applied. The magnitude of this deformation can be determined by using the material's Young's Modulus, its original length, and its cross-sectional area.

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