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A copper wire is held at the two ends by 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. 

(α =1.7 × 10–5/°C, Y = 1.4 × 1011N/m2 and U = 9 × 103kg/m3)

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The thermal stress in the wire corresponds to change in temperature Δt is

F = YαΔt

If A is the cross-sectional area of the wire, then tension produced in the wire

F = fA = YαΔtA

Speed of transverse wave in the wire

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