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A steel wire of length 4.7 m and cross-s...

A steel wire of length 4.7 m and cross-section `3.0 xx 10 ^(2) m ^(2)` stretches by the same amount as a copper wire of length 3.5 m and cross-section `4.0x x 10^(2) m^(2) ` under a given load. What is the ratio of the Young.s modulus of steel to that of copper?

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To find the ratio of the Young's modulus of steel (Ys) to that of copper (Yc), we can use the relationship between stress, strain, and Young's modulus. The formula for Young's modulus is given by: \[ Y = \frac{\text{Stress}}{\text{Strain}} \] Where: - Stress \( \sigma = \frac{F}{A} \) (Force per unit area) - Strain \( \epsilon = \frac{\Delta L}{L} \) (Change in length per original length) ...
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