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A force of 20 N is applied at one end of a wire of length 2 m and having area of cross-section 10^{-3} \mathrm{~m}^2 \text {. } The other end of the wire is rigidly fixed. Its coefficient of linear expansion of the wire is \alpha=5 \times 10^{-7} /{ }^{\circ} \mathrm{C} and young's modulus y=2.2 \times 10^9 \mathrm{~m} / \mathrm{m}^2 and its temperature is increased by 5^{\circ} \mathrm{C}, then the increase in the tension of the wire will be -

Option: 1

4.2N


Option: 2

4.4N


Option: 3

2.4N


Option: 4

8.8N


Answers (1)

best_answer

Increase in the tension of the wire =Y{A \alpha} \Delta\theta

                                       \begin{aligned} & =2.2 \times 10^{11} \times 10^{-2} \times 8 \times 10^{-6} \times 5 \\ & =8.8 \mathrm{~N} \end{aligned}

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Rakesh

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