GATE Mechanical Engineering (ME) 2018 Shift 2 Solved Paper

The true stress (in MPa) versus true strain relationship for a metal is given by $\mathit{\sigma }=1020{\mathit{\epsilon }}^{0.4}$ The cross-sectional area at the start of test (when the stress and strain values are equal to zero) is $100{\mathit{m}\mathit{m}}^2$. The cross-sectional area at the time of necking (in ${\mathit{m}\mathit{m}}^2$ ) is __________(correct to two decimal places).