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A steel wire of length 4 m and diameter ...

A steel wire of length 4 m and diameter 5 mm is stretched by 5kg-wt. Find the increase in its length if the Young's modulus of steel wire is `2.4 xx 10^(12) dyn e cm^(-2)`

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To find the increase in length of a steel wire when a force is applied, we can use the formula derived from Young's modulus. Here are the steps to solve the problem: ### Step 1: Understand the formula for Young's Modulus Young's modulus (Y) is defined as the ratio of stress to strain: \[ Y = \frac{\text{Stress}}{\text{Strain}} \] Where: - Stress = \(\frac{F}{A}\) (Force per unit area) - Strain = \(\frac{\Delta L}{L_0}\) (Change in length per original length) ...
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