Correct Answer

Concept & PrincipleElectricalPower Generation

Option C

Hilly areas

Quick Summary:

Hydroelectric power plants are primarily located in hilly areas because they provide the necessary elevation head (height difference) required to convert the potential energy of water into electrical energy. The topography of hilly regions allows for the construction of reservoirs behind dams, which create the high pressure needed to drive turbines efficiently.

💡 Explanation

🔢 Key Formulas

$P = \eta \rho g Q H$ — Where $P$ is power, $\eta$ is efficiency, $\rho$ is density, $g$ is gravity, $Q$ is discharge, and $H$ is head.

$E_p = mgh$ — The potential energy available at height $h$ .

⚙️ Working Principle

The principle relies on the gravitational potential energy of water stored at a higher altitude in a reservoir. As water flows down through a penstock, this potential energy is converted into kinetic energy, which then acts upon the runner blades of a turbine to produce mechanical rotation, eventually driving an alternator to generate electricity.

📌 Key Points

▸
Head ( $H$ ) is directly proportional to the potential energy; hilly regions facilitate higher head.
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The cost of civil works is significantly reduced by utilizing natural gradients.
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Hydroelectric plants are 'renewable' and provide excellent load-following capabilities.

✅ Advantages

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No fuel cost and low maintenance cost
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Instant start and ability to meet peak loads

❌ Disadvantages / Limitations

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High initial capital investment for dam construction
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Environmental impact and potential displacement of ecosystems

🛠️ Applications / Uses

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Base load and peak load power generation
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Pumped storage schemes for grid stability

📄 Additional Information

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Flat areas (Option A) are unsuitable because they lack the head required to generate significant power without massive pumping.
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Deltas (Option D) have low gradients, making them unsuitable for traditional hydro generation.
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Deserts (Option B) typically lack the water source essential for continuous power generation.

📊 Diagram / Illustration

✅

C is correct — Hydroelectric plants require the elevation head found in hilly areas to convert potential energy of water into electricity efficiently.

Core Concepts Used

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Potential Energy Hydraulic Head Turbine Efficiency

💡 EXAM TIP

Always remember the relation $P \propto H$ ; in competitive exams, questions about plant location always prioritize factors that maximize the head ( $H$ ) or water flow ( $Q$ ).

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