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 / m3
H = Mean water head in meters
Q = Discharge of water in m3 / sec
Calculation:
Given that,
H = 324 m
Q = 1370 m3 / sec
W = 1000 Kg / m3
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