$2.$ A $\backslash (400\backslash$mathrm$\{$~V$\},3\backslash )-$phase, $6$ pole, $50$ Hz $,$ induction motor draws a power of $2$ kW at no load and at rated voltage and frequency. At a full$-$load slip of $\backslash (3\backslash \%\backslash ),$ the power input to motor is $50$ kW and the stator ohmic loss is $1\mathrm{.}5$ kW $.$ Neglect $\backslash (\backslash$mathrm$\{$I$\}^\{2\}\backslash$mathrm$\{$R$\}\backslash )$ loss at no load. If the stator core loss and mechanical losses are assumed equal, then at a slip of $\backslash (3\backslash \%\backslash )$ calculate $($a$)$ rotor ohmic loss, $($b$)$ shaft $($or output$)$ power, $($c$)$ shaft torque, $($a$)$ internal torque, and $($e$)$ efficiency.