The pressure that has to be applied to the ends of a steel wire of length $10\; cm$ to keep its length constant when its temperature is raised by $100^{\circ}$ is (For steel, Young's modulus is $2 \times 10^{11} Nm^{-2}$ and coefficient of thermal expansion is $1.1 \times 10^{-5}K^{-4})$

Question

$\begin{array}{1 1}(A)\;2.2 \times 10^7 \;Pa \\ (B)\;2.2 \times 10^6 \;Pa \\(C)\;2.2 \times 10^8 \;Pa \\(D)\;2.2 \times 10^9 \;Pa \end{array}$