Young's moduli of the material of wires $A$ and $B$ are in the ratio of $1 : 4$, while its area of cross sections are in the ratio of $1 : 3$. If the same amount of load is applied to both the wires, the amount of elongation produced in the wires A and B will be in the ratio of [Assume length of wires $A$ and $B$ are same]\\
(1) $12 : 1$\\
(2) $1 : 36$\\
(3) $36 : 1$\\
(4) $1 : 12$