A steel rail of length $5\,m$ and area of cross-section $40\,cm^2$ is prevented from expanding along its length while the temperature rises by $10\,^oC$. If coefficient of linear expansion and Young's modulus of steel are $1.2\times10^{-5}\, K^{-1}$ and $2\times10^{11}\, Nm^{-2}$ respectively, the force developed in the rail is approximately

  • [JEE MAIN 2017]
  • A

    $2\times10^7\, N$

  • B

    $1\times10^5\, N$

  • C

    $2\times10^9\, N$

  • D

    $3\times10^{-5}\, N$

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