A wire of cross section \( 4 \mathrm{~mm}^{2} \) is stretched by \( 0.1 \mathrm{~mm} \) by a cer...

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A wire of cross section \( 4 \mathrm{~mm}^{2} \) is stretched by \( 0.1 \mathrm{~mm} \) by a certain weight. How far (length) will be the wire of same material and length but of area \( 8 \mathrm{~mm}^{2} \) stretch under the action of same force
[Kerala PMT 2004; Similar Odisha JEE 2012]
(a) \( 0.05 \mathrm{~mm} \)
(b) \( 0.10 \mathrm{~mm} \)
(c) \( 0.15 \mathrm{~mm} \)
(d) \( 0.20 \mathrm{~mm} \)
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