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A steel wire ( $Y = 2 \times 10^{11} Pa$ , $α = 11 \times 10^{- 6} /^{\circ} C$ ) of a diameter of 2mm is just taut between two fixed points at a temperature of 30^oC, find the tension if the temperature falls to 20^oC

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59.14N

39.14N

69.14N

49.14N

answer is D.

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Detailed Solution

$\begin{array}{l} F = {πr}^{2} Y αΔθ \\ = 3.14 \times 10^{- 6} \times 20 \times 10^{12} \times 11 \times 10^{- 6} \times 10 = 69.14 N \end{array}$

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