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

1. A
   $5\times 10^3\text{N}$
2. B
   $50\times 10^3\text{N}$
3. C
   $100\times 10^3\text{N}$
4. D
   $2\times 10^3\text{N}$