A force of 200, N is applied at one end of a wire of length 2, m and having area of cross-section {1

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8.Mechanical Properties of Solids

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A force of $200\, N$ is applied at one end of a wire of length $2\, m$ and having area of cross-section ${10^{ - 2}}\,c{m^2}$. The other end of the wire is rigidly fixed. If coefficient of linear expansion of the wire $\alpha = 8 \times 10{^{-6}}°C^{-1}$ and Young's modulus $Y = 2.2 \times {10^{11}}\,N/{m^2}$ and its temperature is increased by $5°C$, then the increase in the tension of the wire will be ........ $N$

A

$4.2 $

B

$4.4 $

C

$2.4$

D

$8.8$

Solution

(d) 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\;N$

Standard 11

Physics

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