A metallic bar of Young's modulus, $0.5 \times 10^{11} \mathrm{~N} \mathrm{~m}^{-2}$ and coefficient of linear thermal expansion $10^{-5}{ }^{\circ} \mathrm{C}^{-1}$, length $1 \mathrm{~m}$ and area of cross-section $10^{-3} \mathrm{~m}^2$ is heated from $0^{\circ} \mathrm{C}$ to $100^{\circ} \mathrm{C}$ without expansion or bending. The compressive force developed in it is :

  • [NEET 2024]
  • A

    $50 \times 10^3 \mathrm{~N}$

  • B

    $100 \times 10^3 \mathrm{~N}$

  • C

    $2 \times 10^3 \mathrm{~N}$

  • D

    $5 \times 10^3 \mathrm{~N}$

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