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

• A

  10³ N

• B

  10⁴ N

• C

  10⁵ N

• D

  10⁹ N