The radii and Young's moduli of two uniform wires A and B are in the ratio 2: 1 and 1:2 respectively. Both wires are subjected to the same longitudinal force. If the increase in length of the wire A is one percent, the percentage in length of the wire B is :

Question

$$\begin {array} {1 1} (a)\;1.0 & \quad (b)\;1.5 \\ (c)\;2.0 & \quad (d)\;3.0 \end {array}$$