Determine the correctness or otherwise of the following Assertion $$(a)$$ and the Reason$$(r).$$

Assertion(A): In a power plant working on a Rankine cycle, the regenerative feed water heating improves the efficiency of the steam turbine.

Reason(R): The regenerative feed water heating raises the average temperature of heat addition in the Rankine cycle.

Assertion (A): Condenser is an essential equipment in a steam power plant.

Reason(R): For the same mass flow rate and the same pressure rise, a water pump requires substantially less power than a steam compressor.

In a Pelton wheel, the bucket peripheral speed is $$10$$ $$m/s,$$ the water jet velocity is $$25$$ $$m/s$$ and volumetric flow rate of the jet is $$0.1{m^3}/s.$$ If the jet deflection angle is $${120^0}$$ and the flow is ideal, the owe developed is:

A large hydraulic turbine is to generate $$300$$ $$kW$$ at $$1000$$ $$rpm$$ under a head of $$40$$ $$m$$. for initial testing, a $$1:4$$ scale model of the turbine operates under a head of $$10$$ $$m.$$ the power generated by the model (in $$kW$$) will be