A wire of length 1 m and radius 1 mm is subjected to a load. The extension is x . The wire is melted and then drawn into a wire of square cross-section of side 2 mm. Its extension under the same load will be

Q: A wire of length 1 m and radius 1 mm is subjected to a load. The extension is x. The wire is melted and then drawn into a wire of square cross-section of side 2 mm. Its extension under the same load will be

(a) $\displaystyle \frac{\pi^2 x}{8}$

(b) $\displaystyle \frac{\pi^2 x}{16}$

(c) $\displaystyle \frac{\pi^2 x}{2}$

(d) $\displaystyle \frac{x}{2 \pi}$

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Ans: (b)