$($b$)$ In a single stage impulse turbine the isentropic enthalpy drop of $200k\frac{J}{k}g$ occurs in the nozzle having efficiency of $96\%$ and nozzle angle of $15.$ The blade velocity coefficient is $0\mathrm{.}96$ and ratio of blade speed to steam velocity is $0\mathrm{.}5.$ The steam mass flow rate is $20k\frac{g}{s}$ and velocity of steam entering is $50\frac{m}{s}.$ Determine

$($i$)$ the blade angles at inlet and outlet if the steam enters blades smoothly and leaves axially.

$($ii$)$ the blade efficiency

$($iii$)$ the power developed in kW

$($iv$)$ the axial thrust.

Solve using velocity diagram.