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 $100 \ ^\circ C$ is: (For steel,Young's modulus $Y = 2 \times 10^{11} \ N/m^2$ and coefficient of thermal expansion $\alpha = 1.1 \times 10^{-5} \ K^{-1}$)

• A
  $2.2 \times 10^9 \ Pa$
• B
  $2.2 \times 10^7 \ Pa$
• C
  $2.2 \times 10^6 \ Pa$
• D
  $2.2 \times 10^8 \ Pa$