A 10 cm long and 5 cm diameter steel rod fits snugly between two rigid walls 10 cm apart at room temperature. Young's modulus of elasticity and coefficient of linear expansion of steel are \[2\times {{10}^{6}}\,\text{kg/c}{{\text{m}}^{\text{2}}}\] and \[12\times {{10}^{-\,6}}\] per \[{}^\circ C\] respectively. The stress developed in rod due to a \[100{}^\circ C\] rise in temperature will be:

• A. \[6\times {{10}^{-\,10}}\,\text{kg/c}{{\text{m}}^{\text{2}}}\]
• B. \[6\times {{10}^{-\,10}}\,\text{kg/c}{{\text{m}}^{\text{2}}}\]
• C. \[2.4\times {{10}^{3}}\,\text{kg/c}{{\text{m}}^{\text{2}}}\]
• D. \[2.4\times {{10}^{4}}\,\text{kg/c}{{\text{m}}^{\text{2}}}\]