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

• A

  $\text{1.0}$
• B

  $\text{1.5}$
• Correct answer
  C

  $\text{2.0}$
• D

  $\text{3.0}$

Hence, the correct answer is option: 'C'.