A $100 \mathrm{~m}$ long wire having cross-sectional area $6.25 \times 10^{-4} \mathrm{~m}^2$ and Young's modulus is $10^{10}$ $\mathrm{Nm}^{-2}$ is subjected to a load of $250 \mathrm{~N}$, then the elongation in the wire will be :

• A

  $6.25 \times 10^{-3} \mathrm{~m}$
• B

  $4 \times 10^{-4} \mathrm{~m}$
• C

  $6.25 \times 10^{-6} \mathrm{~m}$
• Correct answer
  D

  $4 \times 10^{-3} \mathrm{~m}$

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