A force of 200 N is applied at one end of a wire of length 2 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 $\alpha = 8 \times 10^{-6} / ^\circ C$ and Young's modulus $Y = 2.2 \times 10^{11} \mathrm{N/m}^2$ and its temperature is increased by 5°C, then the increase in the tension of the wire will be
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Increase in tension of wire $= YA \alpha \Delta \theta$
$= 8 \times 10^{-6} \times 2.2 \times 10^{11} \times 10^{-2} \times 10^{-4} \times 5 = 8.8 \, \mathrm{N}$
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