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An aluminium wire is clamped at each end...

An aluminium wire is clamped at each end and under zero tension at room temperature. Reducing the tempreture, which results in a decrease in the wire's equilibrium length, increase the tension in the wire. What strain `((DeltaL//L))` rejults in a transverse wave speed of `100 m//s`? Take the cross-seectional area of the wire to be `5.00xx10^(-6)m^(2)`, the density to be `2.70xx10^(3)` kg//m^(3)`, abd young's modulus to be `7.00xx10^(10)N//m^(2)`.

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To solve the problem step by step, we will follow the reasoning presented in the video transcript and apply the relevant physics formulas. ### Step-by-Step Solution: 1. **Understand the Given Data:** - Cross-sectional area (A) = \(5.00 \times 10^{-6} \, \text{m}^2\) - Density (\(\rho\)) = \(2.70 \times 10^{3} \, \text{kg/m}^3\) - Young's modulus (Y) = \(7.00 \times 10^{10} \, \text{N/m}^2\) ...
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