Project ForgeFluid Mechanics
Bernoulli's Equation & Flow
GATE 2010
Medium
A hydraulic turbine develops 1000 kW power for a head of 40 m. If the head is reduced to 20 m, the power developed (in kW) is
- A177
- 354
- C500
- D707
Explanation
For a hydraulic turbine, power ∝ H^(3/2) (since flow ∝ √H via the nozzle/runner velocity, and P=ρgQH). P2=P1×(H2/H1)^1.5=1000×(20/40)^1.5=1000×0.3536≈354 kW.
Source: GATE ME 2010 (2010)
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