A $230$ V$,50$Hz$,4$ pole, single phase induction motor has the following equivalent circuit impedance.

R$1$m$=2\mathrm{.}2$ ohms

R$2=4\mathrm{.}5$ ohms

X$1$m$=3\mathrm{.}1$ ohms

X$2=2\mathrm{.}6$ ohms

Xm$=80$ ohms

Friction, windage and core loss $=40$W

For a slip of $0\mathrm{.}03$ pu$.$ Calculate

$($i$.)$ Input current

$($ii$.)$ Power factor

$($iii$.)$ Developed power

$($iv$.)$ Output power

$($v$.)$ Efficiency