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]

• Correct answer
  A

  $12 : 1$
• B

  $1 : 36$ 
• C

  $36 : 1$
• D

  $1 : 12$

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