Two wires are made of the same material and have the same volume. However wire $1$ has crosssectional area $A$ and wire $2$ has cross-section area $3A$. 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?
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$\mathrm{F}=\frac{\mathrm{YA} \Delta \mathrm{x}}{\mathrm{L}}=\frac{\mathrm{YA}^{2} \Delta \mathrm{x}}{\mathrm{V}}$
$F \propto A^{2}$
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