The state of plane stress in a plate of 100 mm thickness is given as \[{{\sigma }_{xx}}=100\,\text{N/m}{{\text{m}}^{\text{2}}}\text{,}\] \[{{\sigma }_{xy}}=200\,\text{N/m}{{\text{m}}^{\text{2}}}\] Young's modulus \[=300\,\text{N/m}{{\text{m}}^{\text{2}}}\] Poission?s ratio = 0.3 The stress developed in the direction of thickness

• A. zero
• B. \[90\text{ }N/m{{m}^{2}}\]
• C. \[100\text{ }N/m{{m}^{2}}\]
• D. \[200\text{ }N/m{{m}^{2}}\]