$A$ 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 $10\,^{\circ}C$. If the coefficient of linear expansion and Young's modulus of steel are $1.2\times10^{-5}\,K^{-1}$ and $2\times10^{11}\,N/m^2$ respectively,the force developed in the rail is approximately:

  • A
    $2\times10^7\,N$
  • B
    $1\times10^5\,N$
  • C
    $2\times10^9\,N$
  • D
    $3\times10^{-5}\,N$

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