A steel string guitar is strung so that there is negligible tension in the strings at a temperat...

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A steel string guitar is strung so that there is negligible tension in the strings at a temperature of \( 24.9^{\circ} \mathrm{C} \). The guitar is taken to an outdoor winter concert where the temperature of the strings decreases to \( -15.1^{\circ} \mathrm{C} \). The cross-sectional area of a particular string is \( 5.5 \times 10^{-6} \mathrm{~m}^{2} \). The distance between the points where the string is attached does not change. For steel, Young's modulus is \( 2.0 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2} \); and the coefficient of linear expansion is \( 1.2 \times 10^{-5} /{ }^{\circ} \mathrm{C} \). Use your knowledge of linear thermal expansion and stress to calculate the tension in the string at the concert.
(A) \( 530 \mathrm{~N} \)
(B) \( 120 \mathrm{~N} \)
(C) \( 240 \mathrm{~N} \)
(D) \( 60 \mathrm{~N} \)
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