The temperature of a wire of length 1 metre and area of cross-section  $1c{m}^2$ is increased from 0°C to 100°C. If the rod is not allowed to increase in length, the force required will be $(\mathrm{\alpha }={10}^{-5}/°\mathrm{C}$  and $\mathrm{Y}={10}^{11}\mathrm{N}/{\mathrm{m}}^2)$ 

• A

  ${10}^{3}N$

• B

  ${10}^{4}N$

• C

  ${10}^{5}N$

• D

  ${10}^{9}N$