GATE Mechanical Engineering (ME) 2019 Shift 1 Solved Paper

At a critical point in a component, the state of stress is given as ${\mathit{\sigma }}_{\mathit{x}\mathit{x}}=100\mathit{M}\mathit{P}\mathit{a},{\mathit{\sigma }}_{\mathit{y}\mathit{y}}=220\mathit{M}\mathit{P}\mathit{a}$, ${\mathit{\sigma }}_{\mathit{x}\mathit{y}}={\mathit{\sigma }}_{\mathit{y}\mathit{x}}=80\mathit{M}\mathit{P}\mathit{a}$ and all other stress components are zero. the yield strength of the material is $468\mathit{M}\mathit{P}\mathit{a}$. The factor of safety on the basis of maximum shear stress theory is ______________(round off to one decimal place).