Correct Answer - Option 1 : 4.35 MW

__Bernoulli’s equation:__

Bernoulli’s equation is used to calculate the power output of the Hydropower plant.

Output power can be expressed as

\(P = 9.81\times 10^{-3} \times (\eta \ QWH )\) in Watts

Where,

η = Plant efficiency

W = Density of water = 1000 Kg / m^{3}

H = Mean water head in meters

Q = Discharge of water in m^{3} / sec

__Calculation:__

Given that,

H = 324 m

Q = 1370 m^{3} / sec

W = 1000 Kg / m^{3}

If plant efficiency is not given in the question, then we take it as 100%

∴ η = 1 (For calculating capacity of plant)

The output power is

P = 9.81 x 10^{-3} η QWH kW

P = 9.81 x 10^{-3} x 1 x 1000 x 324 x 1370

**∴**** P = 4.35 MW**