The maximum elongation of a steel wire of $1 \mathrm{~m}$ length if the elastic limit of steel and its Young's modulus, respectively, are $8 \times 10^8 \mathrm{~N} \mathrm{~m}^{-2}$ and $2 \times 10^{11} \mathrm{~N} \mathrm{~m}^{-2}$, is:

  • [NEET 2024]
  • A

    $0.4 \mathrm{~mm}$

  • B

    $40 \mathrm{~mm}$

  • C

    $8 \mathrm{~mm}$

  • D

    $4 \mathrm{~mm}$

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