A two area system connected by a tie line has the following parameters with base MVA for each area with the frequency of $50$ Hz and synchronising power coefficient $T_{12}=2$ p$.$u$.$A load change of $400$ MW occurs in area $1.$Determine the steady state frequency deviation and the change in tie line flow

$\backslash$table$[[$Area$,1,2],[$Turbine output power,$2000$ MVA,$1000$ MVA$],[$Inertia constant,$3\%,4\%$