A steel wire AB of length 100 cm is fixed rigidly at points A and B in an aluminium frame as shown in the figure. If the temperature of the system increases through 100°C, then the excess stress produced in the steel wire relative to the aluminium?

${\mathrm{\alpha }}_{\mathrm{Al}}=22\times {10}^{-6}{/}^0\mathrm{C}\text{ and }{\mathrm{\alpha }}_{\text{steel }}=11\times {10}^{-6}{/}^{\circ }\mathrm{C}$ young's Modulus of steel is 2 × 10¹¹ Nm^–2.

• A

  $2.2\times {10}^8\mathrm{Pa}$

• B

  $22\times {10}^8\mathrm{Pa}$

• C

  $0.2\times {10}^8\mathrm{Pa}$

• D

  $220\times {10}^8\mathrm{Pa}$