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The maximum elongation of a steel wire of 1 m length if the elastic limit of steel and its Young’s modulus, respectively, are $8 \times 10^8$ N/m $^2$ and $2 \times 10^{11}$ N/m $^2$ is:

medium

Mechanical Properties of Solids

2024

physics

40 mm

8 mm

4 mm

0.4 mm

Explanation

To solve this problem, we need to determine the maximum elongation of a steel wire under its elastic limit. $\\$ Given: $\\$ • Length of the steel wire $L = 1$ m $\\$ • Elastic limit of steel $\sigma = 8 \times 10^8$

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The maximum elongation of a steel wire of 1 m length if the elastic limit of steel and its Young’s modulus, respectively, are 8×108 8 \times 10^8 8×108 N/m2^2 2 and 2×1011 2 \times 10^{11} 2×1011 N/m2^2 2 is:

Explanation

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The maximum elongation of a steel wire of 1 m length if the elastic limit of steel and its Young’s modulus, respectively, are $8 \times 10^8$ N/m $^2$ and $2 \times 10^{11}$ N/m $^2$ is: