Two wires A and B of same material have radii in the ratio 4 : 1 and length on the ratio 2 : 1.The forces required to produce same change in length are in the ratio

Question

$\begin{array}{1 1}(A)\;1 : 8\\(B)\;8 : 1\\(C)\;32 : 1\\(D)\;1 : 1\end{array} $