A force of \( 20 \mathrm{~N} \) is applied at one end of a wire of ...

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A force of \( 20 \mathrm{~N} \) is applied at one end of a wire of length \( 2 \mathrm{~m} \) and having area of cross-section \( 10^{-2} \mathrm{~cm}^{2} \). The other end of the wire is rigidly fixed. If coefficient of linear expansion of the wire is
\( \mathrm{P} \) \( \alpha=8 \times 10^{-6} /{ }^{\circ} \mathrm{C} \) and Young's modulus \( Y=2.2 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2} \) and its temperature is increased by \( 5^{\circ} \mathrm{C} \), then the increase in the tension of the wire will be
W
(a) \( 4.2 \mathrm{~N} \)
(b) \( 4.4 \mathrm{~N} \)
(c) \( 2.4 \mathrm{~N} \)
(d) \( 8.8 \mathrm{~N} \)
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