Two wires are made of the same material and have the same volume. However wire 1 has cross-secti...

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Two wires are made of the same material and have the same volume. However wire 1 has cross-sectional area \( A \) and wire 2 has cross-sectional area \( 3 A \). If the length of wire 1 increases by \( \Delta x \) on applying force \( F \), how much force is needed to stretch wire 2 by the same amount
[AIEEE 2009; NEET 2018]
(a) \( F \)
(b) \( 4 F \)
(c) \( 6 \mathrm{~F} \)
(d) \( 9 \mathrm{~F} \)
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