Under the same load, wire A having length $5.0 \mathrm{m}$ and cross section $2.5\times {10}^{-5} {\mathrm{m}}^2$ stretches uniformly by the same amount as another wire $B$ of length $6.0 \mathrm{m}$ and a cross section of $3.0\times {10}^{-5} {\mathrm{m}}^2$ stretches. The ratio of the Young's modulus of wire $A$ to that of wire $B$ will be:

• A

  $1:4$
• Correct answer
  B

  $1:1$
• C

  $1:10$
• D

  $1:2$

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