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A copper wire is held at the two ends y ...

A copper wire is held at the two ends y rigid supports. At `30^(@)C`, the wire is just taut with negligible tension. Find the speed of transverse waves in the wire at `10^(@)C`. Given `alpha=1.7xx10^(-5).(@)^C^(-1)`, `Y=1.4xx10^(11)Nm^(-2)` and `rho=9xx10^(3)kgm^(-3).`

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To solve the problem of finding the speed of transverse waves in a copper wire held at two rigid supports, we will follow these steps: ### Step 1: Understand the Problem The wire is taut at 30°C with negligible tension. We need to find the speed of transverse waves in the wire at 10°C. We are given: - Coefficient of linear expansion, \( \alpha = 1.7 \times 10^{-5} \, ^\circ C^{-1} \) - Young's modulus, \( Y = 1.4 \times 10^{11} \, \text{N/m}^2 \) - Density, \( \rho = 9 \times 10^{3} \, \text{kg/m}^3 \) ...
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