A wire \( 3 \mathrm{~m} \) in length and \( 1 \mathrm{~mm} \) in di...

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A wire \( 3 \mathrm{~m} \) in length and \( 1 \mathrm{~mm} \) in diameter at \( 30^{\circ} \mathrm{C} \) is kept in a low temperature \( -170^{\circ} \mathrm{C} \) and is stretched by hanging a weight of \( 10 \mathrm{~kg} \) at one end, so the change in length of the wire is \( \left(Y=2 \times 10^{11} \mathrm{Nm}^{-2}\right. \), \( g=10 \mathrm{~ms}^{-2} \) and \( \alpha=1.2 \times 10^{-5} \mathrm{C}^{-1} \) )
(a) \( -5.2 \mathrm{~mm} \)
(b) \( -2.5 \mathrm{~mm} \)
(c) \( -52 \mathrm{~mm} \)
(d) \( -25 \mathrm{~mm} \)
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